Find the value of x. Show your work congruent triangles

x = 8

Step-by-step explanation:

We have a given triangle with two interior angles which are x + 23 and 80°. The third angle of the triangle would be equal to 4x + 17. This is because vertical angles are congruent.

Thus:

(x + 23) + 80 + (4x + 17) = 180

x + 23 + 80 + 4x + 17 = 180

5x + 120 = 180

Subtract - 120 both sides

5x = 180 - 120

5x = 40

Divide both sides by 5

x = 8

x+14

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.