Question

Use the following image to answer the questions.

(a) How are the triangles similar? Justify your answer with a theorem or postulate.

(b) What is the value of x? Show your work

please help, due today, thank you!

Answer 1

(a) The triangles are similar because they have two congruent angles; AA similarity theorem.
(b) 24 3x + 6
—- = ———-
32 28
Cross multiply.
672 = 32 (3x + 6)
Divide both sides by 32.
21 = 3x + 6
15 = 3x
x = 5