Do you know the answer? !

given: ∠d ≅∠t, ∠e ≅ ∠u, eo ≅ ux
name the postulate or theorem you can use to prove the triangles congruent.

a. sss postulate
b. sas postulate
c. asa postulate
d. aas theorem

D. AAS Theorem

Step-by-step explanation:

Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX

Then in Δ DOE and Δ TXU

∠D ≅∠T, [Angle]

∠E ≅ ∠U, [Angle]

EO ≅ UX [Side]

From the figure we can see they are two pair of corresponding congruent  angles and one non included sides.

Thus by AAS theorem

Δ DOE ≅ Δ TXU

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.

493 would be the correct answer

step-by-step explanation: