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3 years ago

If this the midpoint and st=x+3 and tu=4x-6 what is st and su

Mathematics

1 answer:

iragen [17]3 years ago

3 0

Answer:

st = 6

su = 12

Step-by-step explanation:

t is the midpoint of line segment su.

st = x + 3

tu = 4x - 6

Since, t is the midpoint of su, it should divide su into two equal parts. This means, measure of st and tu would be equal. So,

st = tu

x + 3 = 4x - 6

3 + 6 = 4x - x

9 = 3x

x = 3

st = x + 3 = 3 + 3 = 6

tu = 4x - 6 = 4(3) - 6 = 6

su = st + tu = 6 + 6 = 2(6) = 12

So, the measure of st would be 6 units and measure of su would be 12 units.

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Then, according to the given information, we have

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Step 2: Use the sentence given to set up an equation

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Simplifying the fraction on either side of the equation, we get...

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Conclusion:

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