Question

△PQR≅△DEF, PR=19z−9, and DF=7z+15. Find z and PR.

Answer 1

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Answer 2

z = 2 and PR = 29.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Since triangles △PQR and △DEF are congruent, we know that their corresponding sides are equal in length. In particular, we have:

PR = DF

Substituting the given expressions for PR and DF, we get:

19z - 9 = 7z + 15

Simplifying and solving for z, we get:

12z = 24

z = 2

Now that we know z, we can find PR:

PR = 19z - 9 = 19(2) - 9 = 29

Therefore, z = 2 and PR = 29.

For such more questions on triangles,

https://brainly.in/question/6451865

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