3. 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.? HELP

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Answer 1 · 2017-12-29T09:27:14

#x=5#

.

#/_A~= /_P#

#/_B ~= /_Q#

#(a)# By virtue of the fact that two sets of corresponding angles are congruent (Angle Angle Similarity Postulate), the two triangles are similar.

#(b)# In similar triangles, corresponding sides have the same ratio:

#32/24=28/(3x+6)#

Simplifying, we get:

#4/3=28/(3x+6)#

Cross multiplying, we get:

#4(3x+6)=3(28)#

#2(3x+6)=3(14)#

#6x+12=42#

#6x=42-12#

#6x=30#

#x=5#