Question

13.

The diagram is not drawn to scale
39
6x+5
5
39
3x+55
Find the length of the midsegment to the nearest tenth.
35.0
16.7
70.0
31.0​

Answer 1

The answer to your question is: midsegment = 35 units

Explanation:

Use the Thales' theorem

`(3x + 55)/(6x + 5) = (86)/(43) \\`

43( 3x + 55) = 86( 6x + 5)

129x + 2365 = 516x + 430

129x - 516x = 430 - 2365

-387x = -1935

x = -1935 / -387

x = 5

Midpoint length = 6(5) + 5

= 30 + 5

= 35 units