Question

How do I find the value of x. The answer is 25/7 I just need to show the work.

Answer 1

Answer:

Below.

Step-by-step explanation:

As the 2 sides are both cut in half by the horizontal line,  7x-1 = 1/2 * the base line, so:

2(7x - 1) = 48

14x - 2 = 48

14x = 50

x = 50/14

= 25/7.

Answer 2

Answer:

x = $\frac{25}{7}$

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

7x - 1 = $\frac{1}{2}$ × 48 = 24 ( add 1 to both sides )

7x = 25 ( divide both sides by 7 )

x = $\frac{25}{7}$