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PLEASE HELP!!!
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

PLEASE HELPIf 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 class=

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musiclover10045

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.

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: [tex]RZ = ZT[/tex]

Considering:

[tex]RZ = 4x - 28[/tex]

[tex]ZT = 24[/tex]

We can find x.

[tex]RZ = ZT[/tex]

[tex]4x - 28 = 24[/tex]

[tex]4x = 52[/tex]

[tex]x = \frac{52}{4}[/tex]

[tex]x = 13[/tex]

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Since x = 13, we have that:

[tex]RZ = 4(13) - 28 = 52 - 28 = 24[/tex]

[tex]RT = RZ + ZT = 24 + 24 = 48[/tex]

Thus, the correct option is:

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

A similar question can be found here: https://brainly.com/question/24352869

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