Question

1. Find MN.
KN
2x+5
8x – 18

Answer 1

Explanation:

Answer 2

`MN=19\ units`

Explanation:

we know that

The Mid-segment Theorem states that the mid-segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this mid-segment is half the length of the third side

so

Applying the mid-segment theorem we have that

`2x+5=(1)/(2)(8x-18)`

solve for x

`4x+10=(8x-18)`

`8x-4x=10+18`

`4x=28`

`x=7`

Find MN

`MN=2x+5`

substitute the value of x

`MN=2(7)+5=19\ units`