given

triangle ABC is congruent to triangle PQR, AB = 38 .QR = 28 and PQ = 5x+8 . find x value

If PQ corresponds to AB of the other triangle, and they are congruent, then

5x +8 = 38
5x = 30
x = 6
The information about QR is not needed.

To find the value of x, we need to use the fact that the triangles ABC and PQR are congruent. When two triangles are congruent, it means that their corresponding sides are equal in length.

Let's look at the given information:
- AB = 38 and QR = 28: These are corresponding sides of the congruent triangles.
- PQ = 5x + 8: This is the length of a side of PQR.

Since ABC is congruent to PQR, we can say that AB is equal to QR. Therefore:

AB = QR
38 = 28

This is not possible because 38 is not equal to 28. Hence, there is no valid value for x that would make the given triangles congruent.

Please double-check the given information and ensure its accuracy to find a valid solution.