Bonus: In Triangle STP, the measure of <T is twice the measure of <S and the
measure of <P is three times the measure of <S. What is the measure of all three angles?

ENTER ONLY NUMBERS IN THE BOXES:
m<S = degrees

m<T= degrees

m<P= degrees
​

Answer:

None

Step-by-step explanation:

A number's absolute value will always be positive

|9| = 9

|-9| = 9

Answer:

Step-by-step explanation:

none

Answer:

-7x+y=36

Step-by-step explanation:

y-1=7(x+5)

y-1=7x+35

y=7x+35+1

y=7x+36

36=y-7x

36=-7x+y

-7x+y=36

The equation y - 1 = 7(x + 5) is transformed into the standard form by distributing, rearranging terms, and manipulating to ensure a positive coefficient for x, resulting in 7x - y = -36.

To write the equation y - 1 = 7(x + 5) in standard form, we first distribute the 7 to both terms within the parentheses which results in y - 1 = 7x + 35. Then, to ensure both variables are on one side of the equation and the constant is on the other, as required by the standard form, we subtract 7x from both sides. This gives us -7x + y = 36. Normally, standard form is written with the coefficient of x being positive, so to achieve this, we multiply the entire equation by -1, resulting in 7x - y = -36. So, the equation y - 1 = 7(x + 5) in standard form is 7x - y = -36.

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Answer:

Part a) [tex]\frac{1}{200}[/tex]

Part b) [tex]\frac{1}{450}[/tex]

Step-by-step explanation:

we know that

A reciprocal of a rational number  [tex]\frac{p}{q}[/tex]  is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining  [tex]\frac{q}{p}[/tex]

Part a) we have

200

we know that

the given number can be expressed as [tex]\frac{200}{1}[/tex]

so

changing the numerator and denominator

The reciprocal is equal to [tex]\frac{1}{200}[/tex]

Part b) we have

450

we know that

the given number can be expressed as [tex]\frac{450}{1}[/tex]

so

changing the numerator and denominator

The reciprocal is equal to [tex]\frac{1}{450}[/tex]

Answer:

6+10b

Step-by-step explanation:

Answer:

1.28

Step-by-step explanation:

I used calculator give me brainlist

Answer:

1.28

Step-by-step explanation:

so 32% is equal to .32 and you can imagine that the word "of" means x(as in multiply). Thus said .32 x 4 is 1.28

Answer:

c

Step-by-step explanation:

turn the percent into a decimal and × by the number you get that number that the percent represents in the number add it to the number and you get the original price

The price which is highest is Option C)

After a 20% discount, the price was $170

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

A)

After a 5 % discount , the price was $ 190

So , the percentage is calculated as

190 / 0.95 = $ 200

B)

After a 10 % discount , the price was $ 180

So , the percentage is calculated as

180 / 0.90 = $ 200

C)

After a 20 % discount , the price was $ 170

So , the percentage is calculated as

170 / 0.80 = $ 212.50

D)

After a 30 % discount , the price was $ 140

So , the percentage is calculated as

140 / 0.70 = $ 200

Therefore , the price $ 212.50 is the highest

Hence , the solution , after a 20% discount, the price was $170 is the highest

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Answer:

Step-by-step explanation:

[tex]5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)[/tex]

The equivalent ratios are A and D.

Here's an explanation:

When you look at D, you see that 12 is a multiple of 6, and 16 is a multiple of 8. So you know that it looks like they're equivalent. Then you test it out, 12/2=6. 16/2=8. so 12:16 = 6:8. Eyeballing it first can save time sometimes.

Answer:

Graph C) represents a function.

Step-by-step explanation:

Graph C) is the only graph that passes the vertical line test, a way to determine if a graph is a function. All other graphs do not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.

The function is indeed a relationship that has only one outcome for each input value (x-value) and output value (y-value). As a result, all functions could be regarded as relationships. However, not all relations are functions because not all of them satisfy the criterion, so each unique input generates just one output.

Therefore, the final answer is "Option C".

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Answer:

Step-by-step explanation:

[tex]\dfrac{72}{12}=\dfrac{72:12}{12:12}=\dfrac{6}{1}=6:1[/tex]

Answer:

x-intercept is 2, y-intercept is 10.

Step-by-step explanation:

y=-5x+10

y=mx+b

-------------

m=-5 which means that the slope of this equation is -5.

And to find the y-intercept,

plug in x=0 into the equation and find out the value of y.

y=-5(0)+10=0+10=10

So the y-intercept is 10.

And to find the x-intercept,

plug in y=0 into the equation and find out the value of x.

0=-5x+10

-5x=0-10

-5x=-10

5x=10

x=10/5=2

So the x-intercept is 2.

Answer:

900

Step-by-step explanation:

2 rounds it down

Answer:

900

Step-by-step explanation

900←927→1000

927-900=27

1000-900=100

Answer:

7.325 is larger

Step-by-step explanation:

7.325 is larger becuse 7 is a bigger number than 6 and the decimal point is in the same place so 7.325 will be larger

Answer: 7.325

Step-by-step explanation: 7.325 is larger than 6.425 because it is more positive than the other number. You can see this by looking at a number chart.

Hope this helps, have a BLESSED and wonderful day! :-)

Answer:

The value of car decreases by 12% each year.

Step-by-step explanation:

A car dealership creates an expression to model the value of a new car t years after it is purchased and the expression is [tex]P(0.88)^{t}[/tex] ..... (1)

Now, if the value of the car depreciates at a rate of r% each year, then the value of the car (Say, P) will be depreciated to the value

[tex]P' = P(1 - \frac{r}{100} )^{t}[/tex] ...... (2)

Now, comparing the expressions in (1) and (2), we get

[tex]1 - \frac{r}{100} = 0.88[/tex]

⇒ [tex]\frac{r}{100} = 0.12[/tex]

⇒ r = 12%.

Therefore, the value of the car decreases by 12% each year. (Answer)

Answer: OPTION B.

Step-by-step explanation:

The missing figure is attached.

For this exercise you need to use the Pythagorean Theorem. This is:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.

Then you can say that:

[tex]a=PR\\b=PS=17\\c=RS=33[/tex]

Therefore, knowing these values, you can substitute them into [tex]a^2=b^2+c^2[/tex]:

[tex]PR^2=17^2+33^2[/tex]

Finally you must solve for PR in order to find its value. This is:

[tex]PR=\sqrt{17^2+33^2}\\\\PR=37.12[/tex]

The measure of a side is the length it possess. The measure of PR for the given rectangle is given by: Option B: 37.12 units.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

For the given case, we can use the fact that opposite side of a rectangle are of same length, and one more fact that all the adjacent side pairs of a rectangle are perpendicular to each other(means the minor angle between them is of 90 degrees).

The question is missing the figure, which is attached below.

Since PQRS is a rectangle, thus, we have:

|PS| = |QR| = 17 units

|PQ| = |RS| = 33 units

Thus, for the triangle PSR, as angle S internally is of 90 degrees, we can use Pythagoras theorem.

From Pythagoras theorem for PSR, where PR is hypotenuse, we get:

[tex]|PR|^2 = |PS|^2 + |SR|^2\\\\|PR| = \sqrt{17^2 + 33^2} = \sqrt{1378} \approx 37.12[/tex] units.

(positive root was taken as length is a non-negative quantity).

Thus, the measure of PR for the given rectangle is given by: Option B: 37.12 units.

Learn more about Pythagoras theorem here:

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Answer: x = 1.5

Step-by-step explanation:

5x - 2 = x + 4

Add 2 to each side

5x = x + 6

Subtract x from each side

4x = 6

Divide each side by 4

x = 1.5

Answer:

x = 3/2

Step-by-step explanation:

5x-2=x+4    (add 2 to both sides)

5x=x+4 + 2

5x=x+6  (subtract x from both sides)

5x - x = 6

4x = 6 (divide both sides by 4)

x = 6/4 = 3/2

Answer:

m=-44/5

Step-by-step explanation:

(7m+12)/8=(2m-1)/3

cross product

8(2m-1)=3(7m+12)

16m-8=21m+36

16m-21m-8=36

-5m-8=36

-5m=36+8

-5m=44

m=44/-5

m=-44/5

Answer:

They are known as terms in algebraic expression

Step-by-step explanation:

Final answer:

Keegan rides 8 miles per day going to and from school. Over the course of 5 days, he rides a total of 40 miles on the bus.

Explanation:

The question asks how many miles Keegan rides the bus in 5 days if he travels 4 miles to school and 4 miles home each day. To solve this, we can multiply the daily round trip distance by the number of school days in a week. Keegan travels 8 miles per day (4 miles to school and 4 miles back home). So, in 5 days, Keegan will have traveled:

8 miles/day  imes 5 days = 40 miles

Therefore, Keegan rides the bus 40 miles in 5 days.

Answer:

The function has a y-intercept of (0,-1).

Step-by-step explanation:

The given function is f(x) = x - 1 .......... (1)

Now, we have to choose from the statements given in options that best describe the function.

I think option 3 is the only statement that describes the function well.

Option 3 states that the function has a y-intercept of (0,-1).

If we put x = 0 in the function then will get y = - 1.

So, the function (1) has y-intercept at (0,-1). (Answer)

Final answer:

Only statement 3 is correct, which states that the function  (x) = x - 1 has a y-intercept of (0, -1). The function's x-intercept is actually (1, 0), the slope is consistently -1, and the other statements are either incorrect or irrelevant.

Explanation:

We are asked to determine which expressions best describe the function  (x) = x - 1.

Therefore, only statement 3 correctly describes the function  (x) = x - 1.

Answer:

First five terms are (5, 7, 9, 11, 13)

Step-by-step explanation:

[tex]a_n = 5+(n-1)2[/tex]

Arithmetic explicit rule is given we need to find first five terms.

Let n be number of terms.

When n = 1,

[tex]a_1= 5+(1-1)2= 5+(0)2=5[/tex]

When n = 2,

[tex]a_2=5+(2-1)2=5+2=7[/tex]

When n = 3,  

[tex]a_3=5+(3-1)2=5+4=9[/tex]

When n = 4,  

[tex]a_4=5+(4-1)2=5+6=11[/tex]

When n = 5,  

[tex]a_5=5+(5-1)2=5+9=13[/tex]

Hence the First five terms are (5, 7, 9, 11, 13)

Answer: A

Step-by-step explanation:

Answer:

m∠y=72°

Step-by-step explanation:

The question is

Find the measure of angle y

step 1

Find the measure of angle x

see the attached figure to better understand the problem

we know that

m∠x=67° -----> by corresponding angles

step 2

Find the measure of angle y

we know that

(m∠x+m∠y)+42°=180° -----> because form a straight line

substitute the measure of angle x

67°+m∠y+42°=180

m∠y+108°=180

m∠y=180°-108°

m∠y=72°

Answer:

6ab + b^2 - 17a - 4b + 10

Step-by-step explanation:

-2(a+b-5)+3(-5a+2b)+b(6a+b-8)

Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.

Algebraic Operations need to be considered:

[ (-) x (-) = (+); (-) x (+) = (-)]

= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]

= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b

Now, we will make the adjustment by the similarity value.

= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10

= - 17a - 4b + 6ab + b^2 + 10

= 6ab + b^2 - 17a - 4b + 10

Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10

We can classify each number as:

0 = ones place

8 = tenths place

7 = hundredths place

3 = thousandths place

Now that we know that 7 is in the hundredths place we can write this as: 7/100 (0.07)

_______

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Wolfyy :)

Answer:

[tex]- 5 \log 2 = - \log 32[/tex]

Step-by-step explanation:

We have to convert an exponential equation into the logarithmic equation.

The given equation is  

[tex]2^{-5} = \frac{1}{32}[/tex]

Now, taking log on both sides we get,  

[tex]\log 2^{-5} = \log\frac{1}{32}[/tex]

⇒ [tex]- 5 \log 2 = \log 1 - \log 32[/tex]

{Since we know from the logarithmic property that [tex]\log a^{b} = b \log a[/tex] and [tex]\log \frac{a}{b} = \log a - \log b[/tex] }

⇒ [tex]- 5 \log 2 = - \log 32[/tex] {Since [tex]\log 1 = 0[/tex] }

Hence, this is the required logarithmic equation. (Answer)