Question

Kindly answer this one. Thank you.​

Answer 1

See below.

Explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦ The midline's length is the average of the lengths of the top and bottom parallel sides.

`AL=(OR+CE)/(2)`

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

`x=(9+5)/(2)=7`

2. AL = m - 4, CE = 15, OR = 17

`m-4=(15+17)/(2)=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16`

3. OR = y + 5, AL = 15, CE = 18

`15=((y+5)+18)/(2)\\\\15=(y+23)/(2)\\\\30=y+23\\\\7=y\\\\OR = 7+5=12`