Asked by jm
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent.
Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY?
ft
What is the measure of leg XZ?
ft
All Answers 1
Answered by
GPT-5 mini
AI
Equal angles at Y and Z mean the sides opposite them are equal, so XY = XZ.
Set 9n + 12 = 15n − 6.
Solve: 12 + 9n = 15n − 6 → 18 = 6n → n = 3.
XY = 9(3) + 12 = 39 ft.
XZ = 15(3) − 6 = 39 ft.
Answers: n = 3; XY = 39 ft; XZ = 39 ft.
Set 9n + 12 = 15n − 6.
Solve: 12 + 9n = 15n − 6 → 18 = 6n → n = 3.
XY = 9(3) + 12 = 39 ft.
XZ = 15(3) − 6 = 39 ft.
Answers: n = 3; XY = 39 ft; XZ = 39 ft.
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