Use the figure to answer the questions.

Part A. Explain why the triangles are similar.

Triangle ___ and Triangle___ are similar by the _ postulate. This postulate works because...
(explain your reasoning here)

Part B. Find the value of y.
(show your work)

Please help! Thank you so much I appreciate it!

a) Triangle ABE is similar to Triangle DCE by Angle-Angle-Angle postulate.

b) 4 cm

Step-by-step explanation:

a) angle A = angle D

And

angle B = angle C

(Alternate angles)

Angle AEB = Angle DEC

(Vertically opposite angles)

All three angles are equal, hence triangles are similar

b)

AB/DC = AE/DE

6/15 = y/10

y = 6×10/15

y = 4

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

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