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zimovet [89]
3 years ago
8

In the diagram, the length of segment VS is 39 units.

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

Answer:

TV=38\ units

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The figure shows a kite

The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular

That means

TS=VS

TQ=VQ

TR=RV

we have

VS=39\ units

TS=6x-3

so

6x-3=39

solve for x

6x=39+3\\6x=42\\x=7

<em>Find the value of RV</em>

RV=2x+5

substitute the value of x

RV=2(7)+5=19\ units

Remember that

TV=TR+RV ---> by segment addition postulate

we have

TR=RV=19\ units

so

TV=19+19=38\ units

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