what is the system of equations shown in the graph?

Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17

Answer:

m=9/8

Step-by-step explanation:

64m^2 -5=76

64m^2 =76+5

64m^2=81

m^2=81/64

m=[tex]\sqrt{81/64}[/tex]

m=9/8

Step-by-step explanation:

64m²-5=76

64m²-5+5=76+5

64m²=81

m²=64/81

m=

[tex] \sqrt{64/81} [/tex]

m=8/9

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

Answer:

[tex](a)\ 6m(3m + 21) = 9(2m^2 + 14m)[/tex]

(b) Yes, it is divisible by 9

Step-by-step explanation:

Given

[tex]6m(3m + 21)[/tex]

Solving (a): Complete the blanks

[tex]6m(3m + 21) = 9 [\ ][/tex]

Expand the bracket

[tex]6m(3[m + 7]) = 9 [\ ][/tex]

[tex]6m*3(m + 7) = 9 [\ ][/tex]

Express 6m as 2m * 3

[tex]2m*3*3(m + 7) = 9 [\ ][/tex]

[tex]2m*9(m + 7) = 9 [\ ][/tex]

Rewrite as:

[tex]9 * 2m(m + 7) = 9 [\ ][/tex]

Multiply the bracket by 2m

[tex]9 * (2m^2 + 14m) = 9 [\ ][/tex]

Divide both sides by 9

[tex]2m^2 + 14m = [\ ][/tex]

Hence, the bracket will be filled with: [tex]2m^2 + 14m[/tex]

So:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

Solving (b): Is [tex]6m(3m + 21)[/tex] divisible by 9?

In (a), we have:

[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]

The leading factor "9" implies that the expression is divisible by 9

Answer:

7

Step-by-step explanation:

The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)

Answer:

[tex](\frac{1}{3};\frac{2}{9})[/tex]

Step-by-step explanation:

[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]

Answer:

Its D

Step-by-step explanation:

Edge 2021

Answer:

x² -1x + 3x -3

= x² +2x -3

hope it helps

Answer: My teacher told me to use 180 and divide something.

Step-by-step explanation:

Answer:

isnt itjust 15?

Step-by-step explanation:

1 +1+1+1 = 4  5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry

Answer: B

Step-by-step explanation:

4x+3x+2x=180

9x = 180

x = 20

20x3 = 60

Answer:

C

Step-by-step explanation:

A p e x

Answer:

the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)

Step-by-step explanation:

i just took the test

Answer:

729 cubic feet

Step-by-step explanation:

Answer:

The answer is 46'

Step-by-step explanation:

The first triangle is:85'+53'+Y=180' so y=42'

The second triangle with X is:92+42'+X=180' so X=46'

Answer:

-4

Step-by-step explanation:

2^3 = 2 * 2 * 2 = 8

2^-1 = -2 = -2

2^3/2^-1 = 8/-2

=> 4/-1

=> -4

Hope it helps :)

Answer:

2^4 (or) 16

Step-by-step explanation:

2^3=2×2×2=8

2^-1 = 1/2

2^3/2^-1 = 8/(1/2) = 8×2 = 16

alternative method:

2^3/2^-1 = 2^(3-(-1))

= 2^(3+1)

= 2^4

= 16

Answer:

the answer is 25 round tables and you will need 18.75 square tables

Step-by-step explanation:

IT is right trust me

Answer: The variable x represents the number of  

✔ square tables

.

The variable y represents the number of  

✔ round tables

.

If y = 9, find the value of x. The committee needs  

✔ 12

square tables.  explanation:

Answer:

69

Step-by-step explanation:

Step-by-step explanation:

y=kx

4=k*3,4=3k,4/3=k.to find y when X is 15 ,y=kx,y=4/3*15=60/3=20

Answer:

1/2

Step-by-step explanation:

So we know that there is a total of 10 people.

5 of these have grey hair.

To find the chances of a somone having grey hair, we need to divide people with grey hair over total people:

[tex]\frac{value}{total} =probability[/tex]

This is the same division we use to find things such as percentage and ratio as well.

Now lets plug in our numbers and solve:

[tex]\frac{5}{10}=\frac{1}{2}[/tex]

So half of the people have grey hair.

Or(in percentage):

The probability is 50% that someone will have grey hair.

Hope this hepls!

Answer:

Step-by-step explanation:

sin x = opposite / hypotenuse

sin x = b / c

cos x = adjacent / hypotenuse

cos x = a / c

tan x = opposite / adjacent

tan x = b / a

Answer:

it look like its 4 and the 4 over 4/5 I think

Answer:

The first one : x^2 - 8x + 15 sq ft

Step-by-step explanation:

To find the ares you need to multipy L and W : (x - 3) x ( x - 5)

(x - 3) x ( x - 5)

(x times x) - ( 3x + 5x) + ( 5 x 3)

=x^2 - 8x + 15

If this helps you, please give brainliest!

Answer:

(x-3)(x-5)=x^2-5x-3x+15=x^2-8x+15

Step-by-step explanation:

Because the patio is a rectangle, so it's area is I.w=(x-3)(x-5)

Given:

A spinner is divided into 8 equal sections  where 3 are black, 4 are yellow, and 1 is red.

To find:

The probability of it landing either on a yellow or a red section.

Solution:

We have,

Total number of sections = 8

Black sections = 3

Yellow sections = 4

Red sections = 1

Now,

Either yellow or red sections = 4 + 1

                                                = 5

Now, the probability of it landing either on a yellow or a red section is:

[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]

[tex]\text{Required probability}=\dfrac{5}{8}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].

Answer:

1536 m²

Step-by-step explanation:

To find the area of the lateral faces, calculate the height of a lateral face first.

The height of a lateral face = S

The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.

[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]

[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]

[tex] = \sqrt{400} [/tex]

= 20 m

Total surface area of a pyramid

= total surface area of lateral faces + base area

Area of 1 lateral face

= (base × height) ÷ 2

= (24×20)÷2

= 240 m²

Total surface area of the pyramid

= 240×4 + 24×24

= 1536 m²

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

[tex]\sqrt[4]{-625}[/tex]

=[tex]\sqrt[4]{-5*-5*-5*-5}[/tex]

=-5

Answer:

the answer is 12

Step-by-step explanation:

7x-2y-1. x=3. y=4

7×3-2×4-1

=21-8-1

=12

Answer:

surface area of the triangular pyramid

=(1/2×9×7.8)+(3×1/2×9×12.3)

=35.1+166.05

=201.15 inch²

Step-by-step explanation:

right answer

...... y= 1/2x²

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9