Answer :

Given statement solution is :- The length of segment QP is 8.

To solve for x, we can use the fact that the sum of the lengths of two segments in a straight line is equal to the length of the entire line segment. In this case, we have:

QR + RS = QS

Substituting the given values:

3 + 8 = QS

QS = 11

Now, let's consider the line segment PT. We know that PT = QS + ST. Substituting the given values:

8 = 11 + ST

ST = -3

Finally, to solve for x, we need to find the length of segment QP. We can use the fact that QP = QR + RS + ST. Substituting the known values:

QP = 3 + 8 + (-3)

QP = 8

Therefore, the length of segment QP is 8.

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