Question

T is the midpoint of segment SU. If ST= 17x and TU= 7x + 39 Find the value of x.

Answer 1

Answer:

$\displaystyle x=\frac{39}{10}$

What is the midpoint?

The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.

Due to this, we can set the equations equal and solve for x.

Solve

First, set the equations equal to one another.

$17x = 7x + 39$

Subtract 7x from both sides of the equation to combine like terms.

$17x - 7x = 7x - 7x + 39$

$10x =39$

Then, divide both sides of the equation by 10 to isolate the variable.

$\displaystyle \frac{10x}{10} = \frac{39}{10}$

$\displaystyle x=\frac{39}{10}$

Final Answer

$\displaystyle \boxed{\bold{x=\frac{39}{10}}}$