2 years ago

CAN SOMEONE PLEASE ADD ALL OF THIS FOR ME.?

Mathematics

1 answer:

9966 [12]2 years ago

8 0

The answer is 539.01 :)

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SU and VT are chords that intersect at point R.

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Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

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$RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x$

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Solving for $x$ , we have

$x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4$

Now, notice that chord VT is form by the sum of RT and RV, so

$VT=VR+RT\\VT=x+1+x+4\\VT=2x+5$

Replacing the value of the variable

$VT=2(4)+5\\VT=8+5\\VT=13$

Therefore, the length of the line segment VT is 13 units.

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