Answer:
C. 12
Step-by-step explanation:
Because GH bisects FGI, FGH=HGI
2x+1=3x-9
x=10°
so the measure of HGI is 21°
9xh = total cost of the hat
9 per hat - 4 = $5 each scarf
h = hat
s = scarf
(9xh) + (5x s)
(9x7) + (5x9) = 108
Set each expression from the parentheses equal to 0 separately like so:
Equation 1: x - 4 = 0
Equation 2: -5x + 1 = 0
Now for each equation solve for x!
Equation 1:
x +(- 4 + 4) = 0 + 4
x = 4
Equation 2:
-5x +( 1-1) = 0 - 1
-5x/ -5 = -1 / -5
x = 1/5
Check:
(4 - 4)(-5*4 + 1)
(0) (-20 + 1)
(0) (-19)
0 = 0 -------------------------> correct!
(1/5 - 4)(-5 * 1/5 + 1)
(-19/5)(-1 + 1)
(-19/5)(0)
0 = 0 -------------------------> correct!
smaller x = 1/5
larger x = 4
Hope this helped!
