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xenn [34]
2 years ago
9

Point T is on line segment SU given TU=x-1, SU= 3x-7 and ST=x+7 determine the numerical length of TU

Mathematics
1 answer:
Luden [163]2 years ago
3 0

Given that Point T is on line segment SU, the numerical value of segment TU is 12.

<h3>What is the numerical value of TU?</h3>

Given the data in the question;

  • Point T is on line segment SU
  • Segment SU = 3x-7
  • Segment ST = x+7
  • Segment TU = x-1
  • Numerical value of Segment TU = ?

Since Point T is on line segment SU.

Segment SU = Segment ST + Segment TU

Plug in the given values and solve for x

3x - 7 = ( x+7 ) + ( x-1 )

3x - 7 = x + 7 + x - 1

3x - 7 = 2x + 6

3x - 2x = 6 + 7

x = 13

Next, we determine the numerical value of TU

Segment TU = x-1

Plug in value of x

Segment TU = 13 - 1

Segment TU = 12

Given that Point T is on line segment SU, the numerical value of segment TU is 12.

Learn more about equations here: brainly.com/question/9236233

#SPJ1

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