Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT

Answers

Answer 1

Answer:

Step-by-step explanation:Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.

Answer : 50° and 130°

Answer 2

Final answer:

To find the angle measures of the parallelogram, we set the expressions for opposite angles equal to each other, solve for 'n', and then determine the angle measures, which are 50° and 130° respectively.

Explanation:

The students wants to find the two different angle measures of a parallelogram-shaped tile where two opposite angles are given by the equations (6n − 70)° and (2n + 10)°. Since opposite angles in a parallelogram are equal, we can set these two expressions equal to each other to find the value of 'n':

6n − 70 = 2n + 10

Solving for 'n', we get:

4n = 80

n = 20

Now, we'll plug the value of 'n' back into the expressions to get the angle measures:

6n − 70 = 6(20) − 70 = 120 − 70 = 50°

2n + 10 = 2(20) + 10 = 40 + 10 = 50°

Since opposite angles are equal in a parallelogram, the other two angles must also add up to 180°. Therefore, the other two angles are 180° - 50° = 130°. The angles of the parallelogram are 50° and 130°.

Related Questions

triangle XYZ is obtuse which list could represent the angle measures of triangle XYZ?

A. 20 60 100
B. 30 60 90
C. 50 50 80
D. 60 60 60

Answers

An obtuse triangle must have an angle greater than 90degrees (cannot equal 90). Therefore, A. would be the correct answer. This is because A. is the only set of angles that includes an angle greater than 90. Also, all angle measures add up to equal 180degrees.

PLS HELP ME ASAP WITH 3, 4, AND 5! PLS! (Read directions carefully :)

(BRAINLIEST WILL BE GIVEN HOPEFULLY!)

(Random answers gets moderated!)

Answers

3) It is a matter of reading the value from the graph. I read the graph as ...
a. d(0) = 20
b. d(2) = 18
c. d(4) = 12
d. d(6) = 10
e. d(9) = 15
f. d(3) = 15, or d(9) = 15

4) The domain is the horizontal extent: 0 to 12.
The range is the vertical extent: 10 to 20.

5)
a. f(7) = -2*7 +5 = -9
b. f(-3) = -2(-3) +5 = 11
c. -2x +5 = 17; -2x = 12; x = -6, so f(-6) = 17

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the length of the chord whose endpoints are the points of tangency.

2r
r²
r√2

Answers

r^2
.......................

The answer is r squared. Hope it helped!

A ball is rolling in a circular path that has a radius of 10 inches as shown in

Answers

the complete question in the attached figure

we know that
[circumference]=2*pi*r
for r=10 in
[circumference]=2*pi*10-----> 62.8 in

if 360° (full circle) has a length of --------> 62.8 in

54°------------------------------> X
x=54*62.8/360-----> x=9.42 in

the answer is 9.42 in

Find the sum of the summation of 2 i minus 12, from i equals 7 to 16.

22
110
220
440

Answers

Sum: S
S=[2(7)-12]+[2(8)-12]+[2(9)-12]+[2(10)-12]+[2(11)-12]+[2(12)-12]+[2(13)-12]+[2(14)-12]+[2(15)-12]+[2(16)-12]

S=2(7+8+9+10+11+12+13+14+15+16)-10(12)
S=2(115)-120
S=230-120
S=110

Answer: Second option 110

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

[tex]\sum_{7}^{16}(2i-12)\\\\=\sum_{7}^{16}2(i-6)\\\\=2\sum_{7}^{16}(i-6)\\\\=2[(16-6)+(15-6)+(14-6)+(13-6)+(12-6)+(11-6)+(10-6)+(9-6)+(8-6)+(7-6)]\\\\=2[10+9+8+7+6+5+4+3+2+1]\\\\\text{Sum of n natural numbers }\\\\=2(\frac{10\times (10+1)}{2})\\\\\=\frac{n(n+1)}{2}\\\\=2\times \frac{10\times 11}{2}\\\\=10\times 11\\\\=110[/tex]

Hence, the value of summation is 110.

Therefore, Second option is correct.

Sophia and Tyler are running around a 400-meter track. They start running from the same place, at the same time. Sophia runs at a speed of 5 m/s and Tyler runs at a speed of 4 m/s. How long will it take Sophia to lap Tyler?

Answers

We will call:

S: Runner Sophia.
T: Runner Tyler.

At the beginning the distance between both runners is 400m

At t = 1s Sophia runs 5m and Tyler 4m
At t = 2s Sophia runs 10m and Tyler 8m

and so on.

So, for example at t = 1s, the distance between both runner is:

D = 400m - 5m(the advantage of Sophia) + 4m(what Tyler recovers)

So, we can find a general equation for this matter. Knowing that the distance, velocity and time are related by this equation:

[tex]d=vt[/tex]

Then, the distance between both runners, at any time, is given by:

[tex]D = 400-5t+4t[/tex]

So we need to find the how long it will take Sophia to lap Tyler. This happens when D = 0:

[tex]0 = 400 - 5t+4t[/tex]
∴ [tex]400-t = 0[/tex]
∴ [tex]t = 400s[/tex]

Answer: 400 seconds

Step-by-step explanation:

5x = 400 + y

4x = y

take 4x and add it to the top so it looks like this:

5x = 400 + 4x

cancel 4x if you don't know how to do it you do it like this you take +4x and instead you do -4x to cancel.

and you do it to 5x so you cancel 4x and 5x - 4x = x so x = 400

x = 400

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square feet of sheet metal, then what is the largest volume of such a bin? what are its dimensions?

Answers

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

[tex]V = xxy = x^{2}y[/tex]

We also know that the bin is constructed from 48 square feet of sheet metal, so:

Surface area of the square base = [tex]x^{2}[/tex]

Surface area of the rectangular sides = [tex]4xy[/tex]

Therefore, the total area of the cube is:

[tex]A = 48 ft^{2} = x^{2} + 4xy[/tex]

Isolating the variable y in terms of x:

[tex]y = \frac{48- x^{2} }{4x}[/tex]

Substituting this value in V:

[tex]V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3} [/tex]

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

[tex]\frac{dv}{dx} = 48-3x^{2} =0[/tex]

Solving for x:

[tex]x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4[/tex]

Solving for y:

[tex]y = \frac{48- 4^{2} }{(4)(4)} = 2[/tex]

Then, the dimensions of the largest volume of such a bin is:

Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

[tex]V = (4^{2} )(2) = 32 ft^{3}[/tex]

The square root of 136 is between which two whole numbers?

Answers

The square root of 136 is between 11 and 12. Hope I helped!

The square root is between 11 and 12 but closer to 12.
Hope this helps!

find the greatest common factor 6x^2a + 6xa^2

Answers

The greatest common factor is 6xa

If you multiply 6xa with a and x ----> 6xa(x+a), you'll get 6x^2a + 6xa^2

If x varies directly as y, and x = 48 when y = 16, find x when y = 5.

A) 5/3

B) 153.6

C) 15

Answers

x =k y
48 = k* 16
k = 3

x=3*5
x=15

Answer:

Step-by-step explanation:

x =ky

48 = k16

divide by 16

k = 3

plug k into x=ky

x=3*5

x=15

Jason was hired to mow a lawn that covers an area of acres 2 3/4. It took him 4 1/8 hours to complete the job. What was his unit rate in hours per acre?

I understand the steps where I am stuck is how did you get 2/3/

Answers

Divide the area by the time:

Divide 2 3/4 acres by 4 1/8 hours:

Divide 2.75 acres by 4.125 hours:

2.75 acres
--------------- = 2.667 acres/hour, or 2 2/3 acres / hour.
4.125 hrs

If this is not entirely clear to you, please share the work you've done yourself and I will respond.

The expression 8x + 2y

Answers

You can do 2(4x + 1y)

Can anyone help me with this problem?

Answers

[tex]\tan\Theta=\dfrac{|BC|}{|CA|}[/tex]

Use Pythagorean theorem:
[tex]|AB|^2=|BC|^2+|CA|^2\\\\9^2=6^2+|CA|^2\\\\81=36+|CA|^2\ \ \ \ |-36\\\\|CA|^2=45\to|CA|=\sqrt{45}\\\\|CA|=\sqrt{9\cdot5}\\\\|CA|=\sqrt9\cdot\sqrt5\\\\|CA|=3\sqrt5[/tex]
[tex]\tan\Theta=\dfrac{6}{3\sqrt5}=\dfrac{2}{\sqrt5}\cdot\dfrac{\sqrt5}{\sqrt5}=\dfrac{2\sqrt5}{5}[/tex]

Simplify the trigonometric expression.

Answers

First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
[tex](1+sin \alpha )(1-sin \alpha )=1-sin^2 \alpha [/tex]

Now we can rewrite our expression using the common denominator:
[tex]\frac{1-sin \alpha }{1-sin^2 \alpha } + \frac{1+sin \alpha }{1-sin^2 \alpha} = \frac{2}{1-sin^2 \alpha} [/tex]

Finally, we can use the trig identities: [tex]1-sin^2 \alpha =cos^2 \alpha [/tex] and [tex]sec \alpha = \frac{1}{cos \alpha } [/tex] to simplify our trig expression:
[tex]\frac{2}{cos^2\alpha}=2sec^2 \alpha [/tex]

We can conclude that the correct answer is the fourth one.

1/(1+sin theta) + 1/(1-sin theta)

THe answer is letter D. 2 sec^2 theta

Hope it help! Goodluck!

What is cos 45? Please HELP !!!

Answers

Answer:

A) Cos ( 45) = [tex]\frac{1}{\sqrt{2}}[/tex].

Step-by-step explanation:

Given : Triangle 90 -45 -45 .

To find : What is cos 45.

Solution : We have given

Triangle 90 -45 -45

Hypotenuse = √2 ,

Adjacent side to 45 degree = 1 .

By the trigonometric ratio : cosine is the ratio of the adjacent side to angle to the hypotenuse .

Cos ( theta) = [tex]\frac{Adjacent}{hypotenuse}[/tex].

Plug the values Hypotenuse = √2 , Adjacent side to 45 degree = 1 .

Cos ( 45) = [tex]\frac{1}{\sqrt{2}}[/tex].

Therefore, A) Cos ( 45) = [tex]\frac{1}{\sqrt{2}}[/tex].

The cosine of 45° is √2 / 2.

In a triangle with angles of 90°, 45°, and 45°, we can use the trigonometric functions to find the ratios of the sides.

In this case, we want to find the cosine of 45°.

The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.

In the given triangle, the adjacent side to the 45° angle is 1, and the hypotenuse is √2.

Using the formula for cosine, we have:

cos 45° = adjacent side / hypotenuse

Substituting the values, we get:

cos 45° = 1 / √2

To rationalize the denominator, we multiply both the numerator and denominator by √2:

cos 45° = (1 / √2) * (√2 / √2) = √2 / 2

Therefore, the cosine of 45° is √2 / 2.

To learn more about cosine function;

https://brainly.com/question/29277391

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x2+y2-4+2y-11=0 what are the center and radius of the circle?

Answers

[tex] x^2 + y^2 - 4x + 2y - 11 = 0 [/tex]

You need to complete the square for both x and y.

[tex] x^2 - 4x + y^2 + 2y = 11 [/tex]

[tex] x^2 - 4x + 4 + y^2 + 2y + 1 = 11 + 4 + 1 [/tex]

[tex] (x - 2)^2 + (y + 1)^2 = 16 [/tex]

[tex] (x - 2)^2 + (y + 1)^2 = 4^2 [/tex]

The center is (2, -1).
The radius is 4.

The Freshman class has 27 more boys than girls. If there are 283 freshman, how many are girls?

Answers

You can write an equation to represent this situation. Let x represent the number of girls.

283 = x + (x + 27)

Here, we are adding the number of girls with 27 more people than this amount of girls. This will allow us to add the number of girls, x, with the number of boys, x + 27, to get a total of 283.

This equation can be simplified if we add the like terms together: the x's.

So,
283 = 2x + 27.

Since this is a multi-step equation, we must use the reversed order of operations; undo addition first.

283 - 27 = 2x + 27 - 27
256 = 2x + 0
256 = 2x

Now, we must undo multiplication by dividing.
256/2 = 2x/2
128 = 1x

So, x, the number of girls, is equal to 128.

Hope this helps you! :)

Solve the system of equations and choose the correct answer from the list of options. (4 points) x − y = 7 y = 3x + 12

Answers

x = -19/2
y = -33/2

Start by plugging in the second equation for y in the first equation. Then solve for x. After you can use that value to solve for y.

Identify a counterexample to disprove 6n>n^2/6,where n is a real number.

Answers

A counterexample to disprove the inequality [tex]6n > n^2/6[/tex] is n = 12, because when plugged into the inequality, it results in 72 > 24, which is false.

The question is asking for a counterexample to disprove the inequality [tex]6n > n^2/6[/tex], where n is a real number. To find a counterexample, let's test an arbitrary positive number, such as n = 7, to see if the inequality holds.

Substituting 7 for n, we get:

6 x 7 > 72/6

42 > 49/6

42 > 8.167

This is indeed true, so 7 is not a counterexample. However, we can think of a larger value of n. Let's try n = 12:

6 x 12 > 122/6

72 > 144/6

72 > 24

This is false. Hence, n = 12 serves as a counterexample to disprove the given inequality. So, the inequality does not hold for all real numbers.

Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3 miles per hour. Which equation models the total distance, D, Sarah travels after hiking for an additional h hours?
A. D = 3h + 5
B. D = 3(h - 5)
C. D = 3h - 5
D. D = 5h + 3

Answers

the answer is a D=3h+5

Answer: A. [tex]D=3h+5[/tex]

Step-by-step explanation:

Given: The rate of increasing speed = 3 miles per hour

The distance she traveled before stopping = 5 miles

Let h represents the number of additional hours for hiking.

Then the equation that models the total distance 'D' Sarah travels after hiking for an additional h hours is given by :-

[tex]D=3h+5[/tex]

Line RS is tangent to circle Q at point R.

What is the measure of ∠SQR ?

Enter your answer in the box.

Answers

If the line RS is tangent to the circle, then it is at a 90 degree angle to the circle at the point of contact.

Now that we know 2 angles, we can find the 3rd:

180 - 90 - 32 = 58

Using the tangent and radius theorem, the measure of ∠SQR is 58°.

What is Circle Geometry??

From the question, we are to determine the measure of ∠SQR

In the given diagram, QR is a radius

By the tangent and radius theorem,

If a tangent and a radius meet at the point of tangency, then they are perpendicular to one another

∴ ∠QRS = 90°

∠SQR + ∠RSQ + ∠QRS = 180° (Sum of angles in a triangle)

∠SQR + 32° + 90° = 180°

∠SQR + 122° = 180°

∠SQR = 180° - 122°

∠SQR = 58°

Hence, the measure of ∠SQR is 58°.

Learn more on Circle geometry here: https://brainly.com/question/21872415

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Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5

Answers

The question is incomplete.

This is the complete question as I found in internet:

Use substitution to determine which of the following points is a solution to the standard form equation below 5x-2y = 10

these are the points:

-1,5

1,5

0,-5

0,5

Answer: (0, -5)

Explanation:

point          x           y        5x - 2y = 10 ?

-1,5         -1           5         5(-1) - 2(5) = - 5 - 10 = - 15 ≠ 10 ⇒ not a solution

1,5            1          5         5(1) - 2(5) = 5 - 10 = 5 ≠ 10 ⇒ not a solution

0,-5           0        -5           0 -2(-5) = 10 ⇒ a solution

0,5             0         5          0 - 2(5) = - 10 ≠ 10 ⇒ not a solution

Answer:

(10,5/2) answer is A

Step-by-step explanation:

just took test.

The area of the rectangle shown is given by the function A(x) = 2x2 - 5x. If the width of the rectangle is 13, what is the area?

Answers

we know that
area of rectangle=length*width
let
x-----> the length side
y-----> the width side
y=13 units

A=2x²-5x
A=x*y------> 2x²-5x=x*13------> 2x²-18x=0-----> x²-9x=0
x*(x-9)=0
the solutions are
x=0
x=9

hence
the dimensions of the rectangle are
length is 9 units
width is 13 units

the area of rectangle is -----> 9*13-----> 117 units²

the answer is
117 units²

_________________ lines are lines that never intersect and are not coplanar. A) Parallel B) Perpendicular C) Skew D) Transversal

Answers

the answer is c- skew lines

Hey There! I'll be glad too help you.

Skew lines are lines that never intersect and are not coplanar.

So the answer would be C. ^-^

Four girls and eight boys are running for president or vice president of the student council. find each probability: find the prbability that two girls are elected

Answers

The probability is 1/11.

The probability that a girl is elected for one office is 4/12, since there are 4 girls out of 12 students.

The probability that a girl is elected for the second office is 3/11. This is because after one girl is elected, there are 3 girls left out of 11 students left.

Together, this gives us
4/12(3/11) = 12/132 = 1/11

The probability that two girls are elected president and vice president from a group of 4 girls and 8 boys is calculated using a hypergeometric distribution, resulting in a probability of 1/11.

The question is asking for the probability that two girls are elected president and vice president of the student council when there are four girls and eight boys running for these positions. This is an example of a hypergeometric distribution problem, as we are selecting without replacement from a finite population divided into two groups.

To find the probability, we need to determine the number of successful outcomes divided by the total number of possible outcomes. The successful outcome is that the two elected individuals are both girls. Since there are 4 girls, there are 4 choose 2 ways to select 2 girls, which equates to 6 possible successful outcomes. The total number of ways to choose 2 individuals from 12 candidates (4 girls + 8 boys) is 12 choose 2, resulting in 66 possible outcomes.

The probability can be calculated by dividing the number of successful outcomes by the total number of possible outcomes.

Probability = Successful outcomes / Total outcomes = 6 / 66 = 1 / 11

Find the slope of the line on the graph

Answers

find 2 points on the graph where the blue line crosses an X and Y that we know

1st point ( -4,0)
2nd point (0,3)

slope = change in y over change in x

change in y = 3-0 = 3

change in x = 0 - -4 = 0+4 = 4

slope = 3/4

Need help to write equations for 5, 6 & 7

Answers

5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.

[tex] y = a(b)^x [/tex]

We need to find a and b.
Look at x = 0.
For x = 0, y = 4.

[tex] y = a(b)^x [/tex]

[tex] 4 = a(b)^0 [/tex]

Since b^0 = 1, this simplifies to

[tex] 4 = a [/tex]

Now we know a = 4. We have

[tex] y = 4(b)^x [/tex]

Look at x = 1. For x = 1, y = 12.

[tex] 12 = 4(b)^1 [/tex]

[tex] 12 = 4b [/tex]

[tex] b = 3 [/tex]

Now that we know a and b, we can write the function.

[tex] y = 4(3)^x [/tex]

Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.

This is probably easy but I'm not smart and don't know what else to do I know this is the correct formula it's just confusing to me because there're three numbers and I'm just really dumb.

Answers

Side rectangle = 3 × 1 = 3
Right side rectangle = 4 × 1 = 4
Left side rectangle = 4 × 1 = 4

Both triangles = 4 × 3 = 12
Both triangles = 6

3 + 4 + 4 + 12 = 23

I think the answer is 23 cm

Hope this helped☺☺

First off, don't put yourself down. You'll get it eventually. It takes a different amount of time for everyone :) ♡

Area of a right triangular prism = 1/2(2B) + Ph
The 1/2 and 2 cancel each other out: B + Ph.

Base of the triangular prism: 3 × 4 = 12 cm²

Perimeter of the base (use the Pythagorean Theorem →a² + b² = c²← to figure out the missing side; hypotenuse): 3² + 4² = c²
9 + 16 = c²
√25 = 5
3 + 4 + 5 = 12 cm

Height of triangular prism: 1 cm

Plug these numbers into the formula (B + Ph):
(12 + 12×1) = 24 cm²

The area of the right triangular prism is 24 cm².

12q^2-17q-7
A. (3q+1)(4q-7)
B. (3q-1)(4q+7)
C. (3q+7)(4q-1)
D. (3q-7)(4q+1)

Answers

the correct answer is B

PLEASE ANSWER ASAP Becky purchased a home entertainment center for $2,254 using an 18-month deferred payment plan with an interest rate of 22.48%. She did not make any payments during the deferment period. What will Becky's monthly payment be if she must pay off the home entertainment center within three years after the deferment period?

$121.01

$87.45

$62.61

$113.72

Answers

The correct answer for your problem would be $62.61

Answer:

$62.61

Step-by-step explanation:

Data:

The price of home entertainment = $ 2 254

Time to pay = 18 months

interest rate = 22.48 %

monthly payment = $ 2254/ 18

= $ 125. 22

= - 22.48 (2254)/18

= $ 62.61

Other Questions

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°URGENT

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Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT