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Triangles Q R P and X Y Z are congruent. Angle P Q R is 72 degrees. The lengths of sides A P and P R are 2.5 inches. Angle X Y Z is 36 degrees. The length of side X Y is 1.4 inches.

What is the perimeter of ΔYXZ?

A) 3.5 in.
B) 5.3 in.
C) 6.4 in.
D) 7.8 in.

2 Answers

6 votes

Answer:6.4 miles

Explanation:

User Torian
by
4.6k points
4 votes

Answer:

6.4in (C)

Explanation:

Find attached the diagram gotten from the information.

∠PQR = 72°

∠XYZ = 36°

PQ = PR = 2.5in

XY = 1.4in

To determine the perimeter of ΔXYZ, we would sum the sides of all the triangles together.

Since Triangles Q R P and X Y Z are congruent.

ZY = PR = 2.5in

ZX= PQ = 2.5in

Perimeter of ΔXYZ = ZX+ XY + ZY

Perimeter of ΔXYZ = 2.5in +1.4in +2.5in

Perimeter of ΔXYZ = 6.4in (C)

. Triangles Q R P and X Y Z are congruent. Angle P Q R is 72 degrees. The lengths-example-1
User Ashutosh Raj
by
4.4k points