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?)
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!!!
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......!!!!