Not sure if I'm doing any of these right. Please correct me, thanks.

What is the value of x? (58.6?)

What is the value of x? (24?)

What is the value of x? (20?)

Guest Feb 8, 2018

#1**+1 **

The first and third one use the fact that a line segment drawn parallel to a base splits the sides proportionally

So on the first

MA = 46.2 - 14 = 32.2

And we have the following proportion :

MA / MN = MB / MP

32.2 / 46.2 = MB / 72.6 multiply both sides by 72.6

72.6 * 32.2 / 46.2 = MB = x = 50.6

For the third one

5x + 10 / 10 = 121 / 11

5x + 10 / 10 = 11 multiply both sides by 10

5x + 10 = 110 subtract 10 from both sides

5x = 100 divide both sides by 5

x = 20 CORRECT!!!

CPhill
Feb 8, 2018

#2**+1 **

For...the second.....the bisected apex angle GEH sets up the following proportion :

GD / GE = DH / HE

x + 4 / 44.8 = 35 / 56 multiply both sides by 44.8

x + 4 = 44.8 * 35 / 56 simplify

x + 4 = 28 subtract 4 from both sides

x = 24

Check for youself that GD / GE = DH / HE = 5/8

Hope that helped......!!!!

CPhill
Feb 8, 2018