Delta PNOcong Delta MNL What is the length of overline (OP) 10 meters 11 meters 38 meters 42 meters meters

Question

Answer 1

To solve this problem, we need to use the information given about the congruent triangles

and

.Given:- \(ON = (4x - 2)\) meters-

meters- \(KL = (3x + 5)\) meters-

meters-

Since

is congruent to

, corresponding sides of the triangles are equal in length.Step 1: Set the lengths of the corresponding sides equal to each other.

\((4x - 2) = (3x + 5)\)Step 2: Solve for

.

Step 3: Now that we have the value of

, we can find the length of

by using the fact that

because

is the sum of the lengths of

and

.

However, none of the answer choices match 73 meters. Let's re-evaluate the information given and the congruence of the triangles.Since

is congruent to

, and we are given that

meters and

meters, we can infer that

because they are corresponding sides of the congruent triangles.Therefore, the length of

is equal to the length of

, which is given as 38 meters.Final Answer: The length of

is 38 meters.

Question