If z is the midpoint of rt, what are x, rz, and rt? a.) x = 13, rz = 48, rt = 24 b.) x = 11, rz = 16, rt = 32 c.) x = 13, rz = 24, rt = 48 d.) x = 15, rz = 24, rt = 48

C.) x = 13, RZ = 24, RT = 48

This question is solved using the midpoint concept.

The midpoint of a line divide the line into two segments of the same length.

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In this question:

Z is the midpoint of RT, thus:

Considering:

We can find x.

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Since x = 13, we have that:

Thus, the correct option is:

C.) x = 13, RZ = 24, RT = 48

A similar question can be found here: link

Because Z is the midpoint, both sides need to be equal to each other:

4x-28 = 24

Add 28 to each side:

4x = 52

Divide both sides by 4:

x = 52 / 4

X = 13, RZ = 24, RT = 48

The answer is C.

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step-by-step explanation: