△abc is similar to △def by the aa similarity postulate .
what is the measure of ∠c?
enter your answer in the box.

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding angles are congruent

so

m<A=m<D

m<C=m<F

m<B=m<E

step 1

Find the measure angle B

we have

so

------> by corresponding angles

step 2

Find the measure angle C

we know that

----> the sum of the interior angles in a triangle must be equal to

we have

substitute

i need more details sorry

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb