ABC congruent DEF find the measure of the given angles or the lengths of the given sides

m∠A = 20° and m∠D = 20°

Step-by-step explanation:

Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas

Let us solve the question

∵ The two triangles ABC and DEF are congruent

∴ m∠A = m∠D

∵ m∠A = x + 10

∵ m∠D = 2x

→ Equate their measures

∴ 2x = x + 10

→ Subtract x from both sides

∵ 2x - x = x - x + 10

∴ x = 10

→ Substitute x by 10 in the measures of angles A and D to find them

∵ m∠A = 10 + 10

∴ m∠A = 20°

∵ m∠D = 2(10)

∴ m∠D = 20°

chiken

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.