An angle measures 34° less than the measure of a supplementary angle. what is the measure of each angle?

Answers

Answer 1

the sum of two angles has to equal to 180.

x + x - 34 = 180
2x - 34 = 180
2x = 214

x = 107

so the angles are
107° and 73°

Answer 2

Final answer:

Given that an angle is 34 degrees less than its supplementary angle and knowing that supplementary angles add up to 180 degrees, the two angles measure 73 degrees and 107 degrees respectively.

Explanation:

To solve this problem, let's assume that the measure of the supplementary angle is x degrees. Since the angle in question is 34° less than the measure of the supplementary angle, we can set up the equation: x - 34 = the angle in question. Now, since supplementary angles add up to 180°, we can set up another equation: x + (x - 34) = 180. Solving this equation, we find that x = 107°. Therefore, the measure of the supplementary angle is 107° and the angle in question is 107° - 34° = 73°.

An angle measures 34° less than the measure of a supplementary angle. By definition, supplementary angles add up to 180°. Let's call the first angle x. Then the supplementary angle would be x + 34° because it's 34 degrees more than x. Since they are supplementary, the sum of these two angles should be 180 degrees:

x + (x + 34°) = 180°
2x + 34° = 180°
2x = 180° - 34°
2x = 146°
x = 146° / 2
x = 73°

Therefore, the measure of the first angle is 73°, and the measure of its supplementary angle is 107° (73° + 34°).

Related Questions

1. What is the value of x? Show all of your work.

Answers

AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117

Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9
[tex] \sqrt{81} = 9[/tex]
Therefore AB is 9 cms.

Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply.

A. Corresponding parts of similar triangles are similar.
B. Alternate interior angles are supplementary.
C. Alternate interior angles are congruent.
D. Corresponding parts of congruent triangles are congruent.,

Answers

The opposite sides of a parallelogram can be proved congruent by joining the diagonal of the parallelogram and proving the two triangles congruent by ASA .In any parallelogram opposite sides are parallel.We prove the triangles to be congruent by taking the property of parallel lines that Alternate interior angles are congruent.

When the triangles are proved congruent the opposite sides of parallelogram can be proved equal by using the property Corresponding parts of congruent triangles are congruent.,

The options which hold true to prove opposite sides of a parallelogram are congruent are options C and D.

C. Alternate interior angles are congruent.

D. Corresponding parts of congruent triangles are congruent.,

The figure was created by repeatedly reflecting triangle NMP. What is the perimeter of the figure? 36 in. 42 in. 44 in. 48 in.

Answers

Answer:

Perimeter = 42 inches

Explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. In case of any diagram or figure, we add all the outer sides of the figure to get perimeter.

Here, outer sides are :

4, 4, 4, 4, 4, 4, 4, 6, 8

Now add all the sides together.

Permeter = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 6 + 8 = 42 inches.

Final answer is 42 inches

Answer:

42 inches

Step-by-step explanation:

Please help 17 points!!!

Answers

√10 * √8 =
√(10 * 8) =
√80

Hello, the answer of suspho is correct but here is another procediment:

You prime factor 10 and 8... 10 = 2*5 and 8 = 2³

√2*5 * √2³

Let's take 2³ out of the square root. The radicand has a bigger exponent than the index (2) but you can't divide 2 by 3 so we write √2² * 2 and we can finally take out only 2²

√2*5 * 2√2 and multiply all the radicands.

2√20 and prime factor 20... 20 = 2²*5 and take 2² out

2√2² * 5 = 2*2√5 = 4√5

Answer B

Find the area of the regular pentagon if the apothem is 4.9 m and a side is 7.1 m. round to the nearest whole number. 62 m2 34 m2 87 m2 17 m2

Answers

we know that
[Area of the regular pentagon]=5*[side length * apothem] / 2
side length=7.1 m
apothem=4.9 m
then
Area=5*[7.1 * 4.9] / 2-----------> 86.975 m²----------> 87 m²

the answer is 87 m²

Suppose the velocities of golf swings for amateur golfers are normally distributed with a mean of 95 mph and a standard deviation of 3.9 mph.

What is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is −1?

1.95 mph

2.9 mph

3.9 mph

7.8 mph

Answers

to get the difference between the golfers we proceed as follows;
the z-score is given by:
z=(x-μ)/σ
the score for golfer with z-score of 0 will be:

μ- mean
σ- standard deviation
0=(x-95)/3.9
the value of x will be
0=x-95
x=95

the score for the golfer with z-score of -1 is:
-1=(x-95)/3.9
-3.9=x-95
x=-3.9+95
x=91.1
the difference in the score of the golfers will be:
95-91.1
=3.9
the answer is C] 3.9 mph

How can transposable elements promote functional genetic diversity in a population?

Insertion into a regulatory sequence may alter the strength of transcription.
Insertion into an intro may provide an alternative splice site, producing a protein with a new exon.
Insertion into an mRNA strand may change the amino acid sequence produced.,

Answers

Transposable elements promote functional genetic diversity in a population by insertion into an intro may provide an alternative splice site, producing a protein with a new exon. This is a way to get a genetically modified organism.

Which of the following problem types CANNOT be solved using the law of sines?

**Choose ALL that apply!!!***

A. SAA

B. SSS

C. AAA

D. SAS

E. ASA

**I'm confused :( can you please explain? thank you :)

Answers

Law of sines in a triangle with angles A, B, C and sides a,b,c states that
(sin A)/a =(sinB)/b = (sinC)/c
To use the above ratios, you need at least one angle and one side and one of either an angle or a side. So SSS and AAA don't work

Answer:

B) SSS C AAA D) SAS

Step-by-step explanation:

The sine rule is used when we are given

a) Two angles and one side (SAA)

b) Two angles and included side (ASA)

Sine rule can not be used in SSS,AAA or SAS.

Among the given options sine rule can not be used in cases B) SSS C AAA D) SAS

A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long. What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.

Answers

We need to calculate the other triangle side.
Using the Pythagorean Theorem,
3rd side^2 = 360^2 -160^2
3rd side^2 = 129,600 - 25,600
3rd side^2 = 104,000
3rd side = 322.49
Perimeter = 2 * (160 + 322.49)
Perimeter = 964.98 feet

Answer:

Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.

Step-by-step explanation:

Given : A rectangular field has a diagonal of 360 feet. One of the side of the field is 160 feet long.

To find : What is the perimeter of the field? Enter your answer, rounded to the nearest hundredth, in the box.

Formula used : perimeter = 2* length + 2√[tex]d^{2} -l^{2}[/tex].

Solution : We have diagonal of 360 feet and length = 60 feet .

plugging all the values of d and , l in formula .

perimeter = 2* 160 + 2√[tex]360^{2} -160^{2}[/tex].

perimeter = 320 + 2√[129600 -25600].

perimeter = 964.98 feet = nearest hundredth = 964.98 feet.

Therefore, Perimeter of rectangle rounded to the nearest hundredth is 964.98 feet.

which law would you use to simplify the expression (x^4)^9?

Answers

The answer is a power to a power because then you can find the way to simplify the expression.

Hope this helps, byeee :)

The law that will be used to simplify the expression is the law of exponents.

What are Exponents?

Exponents are the powers of the base numbers.

The law of exponents will be used to simplify the expression (x⁴)⁹

According to the law of exponents,

(aⁿ )ˣ = [tex]\rm a^{xn}[/tex]

So,

(x⁴)⁹ = x³⁶

Therefore, the law that will be used to simplify the expression is the law of exponents.

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what is the image of n for a 144° counterclockwise rotation about the center of the regular pentagon

A. A
B. E
C. P
D. T

Answers

I believe the answer would be C. P
144 is two fifths of 360 so for a pentagon, it would cause the point to shift two places

Answer:

The correct option is C. The image of N for a 144° counterclockwise rotation about the center is P.

Step-by-step explanation:

The number of vertices of a regular pentagon is 5.

The central angle between two consecutive vertices is

[tex]\frac{360}{5}=72[/tex]

It means the central angle between two consecutive vertices is 72 degrees.

We have to find the image of N for a 144° counterclockwise rotation about the center.

If pentagon rotates 72 degree counterclockwise rotation about the center, then the image of N is E.

If pentagon rotates (72+72) degree counterclockwise rotation about the center, then the image of N is P.

The image of N for a 144° counterclockwise rotation about the center is P.

Therefore the correct option is C.

Suzie drew the line of best fit on the scatter plot shown.

What is the approximate equation of this line of best fit in slope-intercept form?

y = 6 over 5x + 3
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6

Answers

Hey there!

Slope intercept form is defined as:

y = mx +b

In this form for lines, m is the slope, and b is the y intercept. Hence, slope intercept. That means that in order to write it in this form, we need to know both the slope and y intercept. We'll start with the former.

Slope is defined as ride over run, or up over right (you know it's negative when it goes left). In order to calculate this, we can take two points that lie directly on a coordinate and put them into a fraction as rise/run.

We have;

(0,3) and (5,9)

As we can see, the difference between the two points is that (5,9) is 5 more to the right, and is 6 higher. We get 6/5. We can even see that in the coordinates, because they're written as (x, y). Additionally, you can use the slope given two points formula:

y2-y1/x2-x1 =

9-3/5-0 = 6/5

Notice how we get the same thing, because in both methods you're finding the difference between the two coordinates based off of rise/run. That's why it's y2 minus y1.

Now that we have our slope, we need the y intercept. The y intercept is simply where the line crosses the y axis. As we can see, it crosses at (0,3) - so the intercept is 3. Now we can create our equation

Slope = 6/5
Y intercept = 3

y = mx + b --> y = 6/5x + 3

Your answer is A, the first option.

Hope this helps!

Find the solution set. (x+9) (x+9) = 0

Answers

Answer:

The solution set is [tex]x=-9[/tex]

Step-by-step explanation:

we have

[tex](x+9)(x+9)=0[/tex]

we know that

[tex](x+9)(x+9)=x^{2}+18x+81[/tex]

[tex]x^{2}+18x+81=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2}+18x+81=0[/tex]

[tex]a=1\\b=18\\c=81[/tex]

substitute in the formula

[tex]x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(81)}} {2(1)}[/tex]

[tex]x=\frac{-18(+/-)\sqrt{0}} {2}[/tex]

The radicand is equal to zero, therefore, the solution has only one real solution

[tex]x=\frac{-18} {2}=-9[/tex]

WILL GIVE BRAINLIEST ANSWER

PLEASE HELP WITH 9 & 10

Answers

something that i would do is see how many times bigger the other shape is like for number 9 i would do 28/4 which is 7 times larger then you do 56/7 and get 8.

then for 10 i did 49 divided by 7 which is 7 times larger so then you do 28/7 to get 4 so that is your answer for 10 4.

9:8
10:4

The rectangular room is given by the trinomial x^2+4x-12. What are the possible dimensions of the rectangle? Use factoring. (1 point) (x-6) and (x-2) (x+6) and (x+2) (x-6) and (x+2) (x+6) and (x-2) 17. What is the factored form of the following expression? X^2+2xy-48y^2 (1 point) a. (x+6y)(x-8y) b. (x-6y)(x-8y) c. (x+6y)(x+8y) d. (x-6y)(x+8y) 18. The area of a rectangular art studio is given by the trinomial 24x^2-4x-8. What are the possible dimensions of the studio? Use factoring. a. (3x-2) and (8x-4) b. (3x-2) and (8x+4) (3x-2) and (8x-4) (3x+2) and (8x-4)

Answers

Given that the rectangle is x²+4x-12, the possible sides will be given by:
a]
x²+4x-12
=x²+6x-2x-12
=x(x+6)-2(x+6)
=(x-2)(x+6)
thus the dimensions are (x-2) units (x+6) units

b]
x²+2xy-48y²
factorizing the above is:
x²+8xy-6xy-48y²
=x(x+8y)-6y(x+8y)
=(x+8y)(x-6y)

c]
24x²-4x-8
factoring the above we get:
=4(6x²-x-2)
=4(6x²+3x-4x-2)
=4(3x(x+2)-2(x+2))
=4(3x-2)(x+2)
=(12x-8)(4x+8)

A pile of sand is in the shape of a cone. The diameter of the sand pile is 18 feet and the height is 10 feet.

What is the volume of the sand pile?

Use 3.14 for pi.

Enter your answer as a decimal

Answers

v=pi*(r )upper 2 * h
v= 3.14 (9*9 ) * 10
=847.8

The volume of pile of sand having diameter of 18 feet and height of 10 feet is 847.8[tex]feet^{3}[/tex].

What is volume?

Volume is basically the amount of something which the container can hold in its capacity or the amount of material with the help of which it is formed.

How to determine volume?

It is told that the pile of sand is of cone shaped and it is having diameter 18 feet and height 10 feet. So the volume of sand pile will be

Volume=1/3π[tex]r^{2} h[/tex]

Radius=diameter/2

=18/2

=9 feet

Volume=1/3*3.14*[tex]9^{2}[/tex]*10

=1/3*3.14*81*10

=254.34/3

=847.8 [tex]feet^{3}[/tex]

Hence the volume of the sand pile of diameter 18 feet and height 10 feet is 847.8 [tex]feet^{3}[/tex].

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In 2000 the population of a city was 588292 people. in 2002 the population of the city increased to 599656, what is the population in 2008

Answers

The population in 2008 is 635,082. This is true given that we follow the 1.93% increase in population every two years. The rate was derived from the increase of 588,292 (year 2000) to 599,656 (year 2002). The computation is:

((599,656 - 588,292) / 588,292) * 100 = 1.93%

Applying the rate every two years, here's what get:

2000: 588,292
2002: 599,656
2004: 611,240
2006: 623,047
2008: 635,082

Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8

cup of sprinkles, how many sundaes can they serve?

Answers

if They have 7 cups of sprinkles then you would need 1/8 of a cup for each Sundae, you would have to multiply 8 by 7 to find your answer.

Answer: Matt's Ice Cream Shoppe can serve 56 Sundaes

Hope this helps
| |
U

The number of sundaes they can serve with 7 cups of sprinkles is 56.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day.

Number of sundaes = Total quantity of sprinkles/Number of cups of sprinkles in each serving

= 7÷ 1/8

= 7×8

= 56

Therefore, the number of sundaes they can serve with 7 cups of sprinkles is 56.

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Which rational number is one-half of the way between 2 and 6.5: 2.25, 4.25, 4.5, or 4.75? And please explain.,

Answers

The rational number halfway between 2 and 6.5 is 4.25. This number can be found by looking at the difference between 6.5 and 2, which is 4.5. Then dividing the resulting number, 4.5 in half which gives us 2.25, and then adding half to difference, 2.25, to 2.

To find the midpoint of 2 numbers:
1. Add up the 2 numbers
2. Divide the number by 2

Midpoint of 2 and 6.5:
1) 2 + 6.5 = 8.5
2) 8.5 ÷ 2 = 4.25

Ans: The midpoint of 2 and 6.5 is 4.25

ALGEBRA 2 FOR JIMTHOMPSON!

Answers

Problem 1

(a) Let x be the variable. The variable will stand for the number of additional minutes used (in addition to the minutes built into the default plan). For example, if x = 10, then Allegra used 10 additional minutes on top of what her plan allows. If x = 0, then Allegra simply pays the $65 without any extra charge.

(b) The equation is 0.10x+65 = 73.40; the 65 represents the fixed cost of 65 dollars per month regardless of how many additional minutes you use. Then you add on 0.10x on top of that to get the total 0.10x+65, which is set equal to 73.40 as this is the given bill for this particular month.

(c) Solve the equation from part (b) to get...
0.10x+65 = 73.40
0.10x+65-65 = 73.40-65
0.10x = 8.40
0.10x/0.10 = 8.40/0.10
x = 84

(d) Allegra used 84 additional minutes as this is the solution to the equation mentioned in part (b) and solved in part (c). To check the answer, simply replace x with that value
0.10x+65 = 73.40
0.10x*84+65 = 73.40
8.4+65 = 73.40
73.40 = 73.40
The answer checks out

====================================

Problem 2

P = principal (amount deposited)
i = interest only
r = interest rate in decimal form
t = time in years

We are given the following:
i = 2800
r = 0.04 (decimal version of 4%)
t = 3.5
and we want to solve for P

i = P*r*t
2800 = P*0.04*3.5
2800 = P*0.14
2800 = 0.14P
2800/0.14 = 0.14P/0.14
20000 = P
P = 20000

Andrea should deposit $20,000 into the account (to earn $2,800 after 3.5 years; where the interest rate is 4%)

====================================

Problem 3

|4x-8| - 3x = 6x+2
|4x-8| - 3x+3x = 6x+2+3x
|4x-8| = 9x+2
4x-8 = 9x+2 or 4x-8 = -(9x+2)
4x-8 = 9x+2 or 4x-8 = -9x-2
9x-4x = -8-2 or 9x+4x = -2+8
5x = -10 or 13x = 6
x = -10/5 or x = 6/13
x = -2 or x = 6/13

The two possible solutions are:
x = -2 or x = 6/13

However, x = -2 does not work since
|4x-8| - 3x = 6x+2
|4(-2)-8| - 3(-2) = 6(-2)+2
|-8-8| + 6 = -12+2
|-16| + 6 = -10
16 + 6 = -10
22 = -10
which is false

Luckily, x = 6/13 does work and I'll leave that as an exercise to have you check it.

In short, the only answer is x = 6/13

Please help asap!!! 13 points!

Answers

The answer would be D

-3x + 9y = 18 substitute 0 for the y and x

-3(0) +9y = 18 = 9y = 18 = 18 ÷ 9 = 2 = y intercept

-3x + 9(0) = 18 = -3x = 18 = 18 ÷ -3 = -6 = x intercept

the answer would be D

which letter has at least one line of symmetry?
D
J
G
P
DOES ANYONE HAVE THE WHOLE QUIZ???? UNIT 4 Compositions of Isometries

Answers

D.

The letter D has a line of symmetry that runs horizontally down the middle. If you were to fold the letter D in half, you would see that the upper and lower half of the letter look the exact same.

You roll an fair number cube. The six possible outcomes when rolling are one, two, three, four, five, six. What are the favorable outcomes when rolling an odd number?

1, 3, 5

2, 4, 6

1, 2, 3, 4, 5, 6

1, 2, 3

Answers

The favorable outcomes are the outcomes we want (aka the outcomes we favor or like). Think of it as a gambling game. If the goal is to roll an odd number, then we need to roll a 1, a 3 or a 5. We don't want 2, 4 or 6 as those are even.

The answer is choice A) 1, 3, 5

A builder has 7200kg of sand.
A) write 7200 in grams
B) Give our answer in standard form,

Answers

7200kg in grams is 7200 x 1000= 7200000g, since 1 kilogram equals 1000 grams. This is also 7.2 x 10^6, which is found by moving the decimal point six places to the left and indicating it as multiplied by that many powers of ten.

Where is tge vertex of the graph of y=-x^2

Answers

[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\ -------------------------------\\\\ y=-x^2\implies y=-1(x-\stackrel{h}{0})^2+\stackrel{k}{0}[/tex]

The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4
What are the possible dimensions of the classroom? Use Factoring.
A.(5x - 4) and (2x + 1)
B.(5x - 4) and (2x - 1)
C.(5x + 4) and (2x - 1)
D.(5x + 4) and (2x + 1)

Answers

Answer: C is the correct factored form of the equation.

To solve this, you can factor the polynomial by grouping. There are numerous ways to do this.

If you are given a multiple choice question like this, you can use the FOIL method to test the answers until you get the correct one.

Choice C with the FOIL method.

(5x + 4)(2x - 1)
10x^2 - 5x + 8x - 4
10x^2 +3x - 4

It is correct!

A bakery receives an order for 1600 cookies if 12 cookies are packed in each bag how many bags are needed

Answers

134 bags.

You get this by dividing the 1600 by 12 and rounding up.

134 bags are needed to pack all the cookies.

To solve this problem, you need to divide the total number of cookies by the number of cookies that fit in each bag.

Start with the total number of cookies:

1600 cookies.

Each bag can hold 12 cookies:

1 bag= 12 cookies

Divide the total number of cookies by the number of cookies per bag:

1600 ÷ 12.

Using division:

1600 ÷ 12

= 133.33.

Since you can't have a partial bag, you need to round up to the next whole number.

So, you will need 134 bags to pack all the cookies.

Luisa sells stuffed animals.she sells a stuffed elephant for $34.90, and the sale tax is 6% of the sale price.about how much is the sales tax on the elephant

Answers

To solve this problem you must follow the proccedure below:

1. You have that Luisa sells a stuffed elephant for $34.90 and the sale tax is 6% of the sale price.

2. Then, you only have to multiply $34.90 by the sale tax, as below:

6/100=0.06

Sales tax on the elephant=$34.90x0.06
Sales tax on the elephant=$2.094

About how much is the sales tax on the elephant?

The answer is: $2.094

The drop that riders experience on Dr. Doom's Free Fall can be modeled by the quadratic function, h(t)9.8t2 5t 39 where h is height in meters and t is time in seconds. From what height are the riders dropped? What is the height of the riders after 1.5 seconds?

Answers

The correct answer is 53.55 meters.

To solve this problem, we need to analyze the given quadratic function h(t) = [tex]9.8t^2 - 5t + 39[/tex], where h is the height in meters and t is the time in seconds.

The given quadratic function: [tex]h(t) = 9.8t^2 - 5t + 39[/tex]

Part 1: From what height are the riders dropped?

[tex]h(0) = 9.8(0)^2 - 5(0) + 39[/tex]

[tex]h(0) = 39[/tex]

The riders are dropped from a height of 39 meters.

Part 2: What is the height of the riders after 1.5 seconds?

[tex]h(1.5) = 9.8(1.5)^2 - 5(1.5) + 39[/tex]

[tex]h(1.5) = 9.8(2.25) - 7.5 + 39[/tex]

[tex]h(1.5) = 22.05 - 7.5 + 39[/tex]

[tex]h(1.5) = 53.55[/tex]

The height of the riders after 1.5 seconds is 53.55 meters.

The graph shown is the graph of which function?

Answers

square root function. f(x)= square root x x> or = to 0

Answer:

The function of the graph is y = f(x) = x².

Step-by-step explanation:

From the graph we have

At x = 0, y = 0

Therefore f(x) = ax + c where c = 0

At x = 1 y = 1

At x = 4 y = 2

At x = 9 y = 3

At x = 16 y = 4

Therefore the graph is of the form, y= f(x) = x²

That is the graph can be plotted with a slope given by dy/dx = 2x an an intercept of c = 0.

Values of the graph are as follows

x y

1 1

2 √2

3 √3

4 2

5 √5

6 √6

7 √7

8 2√2

9 3.

Other Questions

_____ is the set of values, norms, attitudes, and other meaningful symbols that shape human behavior and the artifacts, or products, of that behavior as they are transmitted from one generation to the next. loyalty culture consumerism perceived value Nothing of importance has happened since I last wrote you, except that I have become a miner. I can truly say that I am sorry I learned the trade, for I wet my feet, tore my dress, spoilt a pair of new gloves, nearly froze my fingers, got an awful headache, took cold, and lost a valuable pin in this, my labor of love. I myself thought . . . that one had but to stroll gracefully along romantic stream . . . and to stop now and then to . . . carelessly rinse out a small panful of yellow sand in order to fill ones work bag with the . . . precious mineral. Since I have been here, I have discovered my mistake. . . . . . . To be sure, there are now and then lucky strikes. Once a person took $256 out of a single basinful of soil. But such luck is as rare as the winning of a $100,000 prize in a lottery. We are acquainted with many here whose gains have never amounted to much more than wages:that is, from $6 to $8 a day.--Louise Amelia Clappe, letter of November 25, 1851What is the purpose of the passage? Use textual evidence to support your answer. The Governor's vetoing of a bill that the General Assembly approves is an example of what principle?Question 13 options:judicial reviewchecks and balancesseparation of powersrepresentative government What is the value of x? 20 40 45 85 Photons of light with an energy of 656 nm are being directed through a chamber of hydrogen gas atoms. the gas atoms began in their ground state (ni=1). what happens? According to john locke and the declaration of independence, our rights are ______.a. granted by governmentb. granted by our fellow citizensc. naturald. determined indirectly as whatever is not regulated by governmente. determined arbitrarily Women generally have a very high social standing in societies in which they maurice has a string that is 15 inches long. he has beads that are 3 inches long. how many beads will fit on the string? Which of the following is a trend that developed during the decline of the Roman Republic and continued during the rise of Imperial Rome? (4 points)A. Increased wealth among the upper class and poverty among the lower classB. Decreased trade and more focus on internal mattersC. Decreased interest in art, literature, and scholarshipD. Increased power of the lower classes in government decision-making Percy buys tomatoes that cost $0.58 per pound. He pays $2.03 for the tomatoes. Part 1 out of 3 Percy estimates he bought 4 pounds of tomatoes. Is Percy's estimate reasonable? Complete the explanation. People who are heavy tv watchers (more than five hours per day) are more likely to overestimate the extent to which society is violent and the probability that they themselves will be victims of crime. this is due to . When white settlers took over much of the traditional Kikuyu land, the Kikuyu _____. One inch on a map equals 300 miles. it is 1/4 from el paso texas, to bismarck north dakota. how many miles would it be? Describe the relationship among the lengths of the segments formed by the secant, , and the tangent segment, .You may use words and/or an equation.Suppose in. and in. Is it possible to find the length of ? If so, show how to find the length. If not, explain why not. 11.Which of the following is not true?A)ATP is formed during both photosynthesis and cellular respirationB)Both plant cells and animal cells carry out cellular respirationC)Carbon dioxide is released during photosynthesis and used during cellular respirationD)Oxygen is used during cellular respiration and released during photosynthesis13.Glycolysis requiresA)ATPB)OxygenC)SunlightD)NADP+, Explain why the following statements are true: 1) All matter is made up of atoms. 2) An electron with a proton equals a neutral charge. 3) All atoms are in constant motion.please explain using complete sentences Help Please!!!A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when full?I know the answer is 81pi cubic ftbut not sure what formula to use to get that answer. It's not Volume of a cylinder., A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. The plant grows two centimeters each day. The model for plant growth "y" is given by: y = 2x + 5. What is the meaning of the y-intercept in this equation? A)the y-intercept is the starting date Eliminate B)the y-intercept is two times larger than five C)the y-intercept is the starting height of the plant D)the y-intercept is the largest height the plant can grow Approximately how many species have been identified on earth? What are ways that we can respond to eliminate an invasive species? Choose all that apply. biological control by using other living organisms to rid of invasive specieschemical control by use of chemicalssun controlphysical control by physically removing the speicies