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nirvana33 [79]
3 years ago
11

Scar travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0
666545hggffjjjffdxcnbhggcfdvbhhggg
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SU and VT are chords that intersect at point R.
vovikov84 [41]

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

\frac{RS}{RT} =\frac{RV}{RU}

Where

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

Replacing all these expressions, we have

\frac{x+6}{x+4} =\frac{x+1}{x}

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.

5 0
3 years ago
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