Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]

Answer:

0.59

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

5 percent is 5% or 5 out of 100

5 / 100 = 7 / x

Cross multiply to get

5x = 700

Divide both sides by 5

x = 140

one less than the 18 and a number

18 × n = (product) - 1

Answer:

41/20

Step-by-step explanation:

or 2 1/20

Answer:

0.04

Step-by-step explanation:

Have a nice day!

Simply just take 4 divided by 100 -> 4 : 100 = 0.04

Answer:

7.60+9.50 = 17.10

Step-by-step explanation:

7.60 * 125% = 9.50

9.50+7.60 = 17.10

Answer:

B

Step-by-step explanation:

given that x and y vary inversely then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

to find k use the condition y is 24 when x is 8 , then

24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )

192 = k

y = [tex]\frac{192}{x}[/tex] ← equation of variation

when y = 18 , then

18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )

18x = 192 ( divide both sides by 18 )

x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]

Answer:

Step-by-step explanation:

Write the inverse variation

y = k/x

Solve for k

y = 24

x = 8

y = k/x           Substitute the givens into this equation

24 = k/8        Multiply both sides by 8

8*24 = k

k = 192

Solve for x  when y = 18

y = k/x            Multiply both sides by x

xy = k             Divide by y

x = k/y

x = 192/18

x = 10 2/3       The answer is given as an improper fraction.

x = (10*3 + 2)/3

Answer: x = 32/3

Answer:

A) 972π cm³

Step-by-step explanation:

d = 18 cm

r = d/2 = 9 cm

V = (4/3)πr³

V = (4/3)π(9 cm)³

V = (4/3)π(729 cm³)

V = 972π cm³

Answer:

So, there are seven choices, etc, so the equation is

7x6x7x2

because there are multiple ways

so, 588

Answer: 75 degrees

Step-by-step explanation:

Answer:

y = − x + 7

Step-by-step explanation:

let D be the line that passes through the points (5, 2) and (10, -3) 

Then D has an equation of the form D: y = mx + p

Now we need to find m and p in order to be able to write the equation of the line D:

[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]

Since the point (5 , 2) lies on the line D then :

2 = -1 × (5) + p

then

2 = -5 + p

then 

p = 2 + 5 

  = 7

then

p = 7

Conclusion:

Since m = -1 and p = 7

then

[tex]D : y = -x + 7[/tex]

Answer:

I determined it's cherry pie because the typical slice size allows 10 slices and that is enough for 10 people to enjoy it's goodness quite amazing

Add 10 to both sides

Step-by-step explanation:

x-10 = 8

x - 10 + 10 = 8+ 10

x = 18

Step-by-step explanation:

Add 10 to both sides

or,x-10+10=8+10

or,x=18

Answer:

k = 220

Step-by-step explanation:

Proportion of y and x

Given :

Solving :

Answer:

The company will need 3,360 inches of wax

Step-by-step explanation:

To find how much wax you need per one candle you would do 6in.X4in. which gives you 24in. of wax. Then to find the amount of was for 140 candles you would do 140X24in. to get 3,360 inches of wax.

Answer:

[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9

Step-by-step explanation:

Use distance formula:

(-3-4)^2 + (8-1)^2 all under square root.

49 + 49

[tex]\sqrt{98\\[/tex]

Which simplifies to 7[tex]\sqrt{2\\}[/tex]

Hope this helps,

Feel free to mark this brainliest! :)

the answer is 5.099 rounded too 5.1

Answer:

120° and 80°

Step-by-step explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

Answer:

Step-by-step explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

          160 +  8x  = 360

Subtract 160 from both sides

                     8x  = 360 - 160

                     8x = 200

Divide both sides by 8 to isolate x

                       x = 200/8

                        x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°

Answer:

Sam is correct

Step-by-step explanation:

The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.

Hope this Helps.

Answer:

Mike is correct

Step-by-step explanation:

because it has three different side

Answer:

d is about 8.6 feet.

Step-by-step explanation:

We have similar triangles, so we can set up and then solve this proportion:

[tex] \frac{d}{10} = \frac{6}{7} [/tex]

[tex]7d = 60[/tex]

[tex]d = 8.6[/tex]

Answer:

16 months

Step-by-step explanation:

Hey there!

This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.

[tex]4500-2740[/tex]

[tex]=1760[/tex]

After that divide that answer from 110

This is because she will be paying 110 each month

[tex]1760/110[/tex]

Once you calculate that you will get 16.

Answer:

Its A.

Step-by-step explanation:

Here is the graph for A

Let's solve

[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]

[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]

[tex]\\ \rm\Rrightarrow 9C=165[/tex]

[tex]\\ \rm\Rrightarrow C=165/9[/tex]

[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]

Answer:

$32.39

Step-by-step explanation:

She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)

Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).

So the equation should be 12 times $2.699.

12 × 2.699 = 32.388

Then, round to the nearest cent.

32.388 = $32.39

Hope this helped !

At x=2

And

So the function is

4 (originally) - 3 (leftover) = 1 KG (eaten) 

1* ( 1000) = 1000g 

(there is 1000g in 1 KG)

Answer:

I got you with Question 3 and 4 my guy.

3) He would need 12 and it would cost 50k

4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27

The Tom will need to bring to the closing $54,341.27

He would need 12 and it would cost 50k.

We have given that,

Tom buys a condominium for $42,600.

He makes a down payment of 15% and pays these closing costs to survey $225.

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

To learn more about the savings visit:

https://brainly.com/question/25787382

Answer:

p(8) = 11,327

Step-by-step explanation:

Hey there!

In order to find the answer, all we need to do is subtitute the x values for 8

After substituting, the equation will look like this:

[tex]p(8)=4(8)^4-10(8)^3+8(8)-1[/tex]

Now we simplify

8 to the power of four is 4096 and when you multiply that by 4, you get 16384

8 to the power of 3 is 512 and when you multiply that by -10, you get -5120

8 times 8 is 64

And then there is -1

Now all we have to do is combine all the answers together for one final answer

16384-5120+64-1 is equal to 11327

So the output of this function when you input 8 is 11,327