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. Are the triangles similar and if so why? What is the value of x? Show your work. Answer:

. Are the triangles similar and if so why? What is the value of x? Show your work-example-1
User Rui Jiang
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1 Answer

7 votes

Answer:

yes; x=7

Explanation:

When two corresponding angles are congruent, all angles are congruent, so the triangles are similar. The sides of the triangle on the right are 30/25 = 6/5 times the length of the sides of the left triangle, so side MP will be 6/5 times the length of JL, or (6/5)·20 = 24.

Then the expression for that length lets us find the value of x:

24 = 4x -4

6 = x -1 . . . . . divide by 4

7 = x . . . . . . . add 1

User Codistan
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