HELP! Please pyth. theorem

Given:

The given triangle QPO is a right triangle.

The length of QP is 5 units.

The length of OP is (x + 5) units.

The length of QO is (x + 6) units.

We need to determine the hypotenuse of the triangle QPO.

Value of x:

The value of x can be determined using the Pythagorean theorem.

Thus, we have;

Substituting the values, we get;

Expanding, we get;

Adding the like terms, we get;

Thus, the value of x is 7.

Length of the hypotenuse:

The hypotenuse of the triangle QPO is QO.

Substituting x = 7 in the length of QO, we get;

Thus, the length of the hypotenuse is 13 units.

Hence, Option D is the correct answer.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.