1. Mr. Jackson buys a pair of shoes for $41.12. He hands the clerk a $50 bill.
1 answer:
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Answer:
Part a) The triangles KJL and NMP are similar by AAA similarity postulate
Part b) The value of x is
Step-by-step explanation:
Part a)
we know that
The AAA similarity postulate states that If in two triangles the corresponding angles are equal, then the triangles are similar
In this problem
m<JKL=m<MNP
m<KJL=m<NMP
so
The third angle must be equal (remember that the sum of the interior angles of triangle must be equal to 180 degrees)
m<JLK=m<MPN
therefore
The triangles KJL and NMP are similar by AAA similarity postulate
Part b) What is the value of x?
we know that
if two figures are similar, then the ratio of its corresponding sides are equal