Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
Answer:
-1
Step-by-step explanation:
Answer:
A = 30
Step-by-step explanation:
The area of a triangle is 
Plug in the values given:
A = 1/2 (10) (6) = 1/2 (60) = 30
Answer:
52√3 ft^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height
We have enough information to find these parts.
The average of the bases is 11+15 /2 =13
The height is 4√3
So the answer is 13 * 4√3 = 52√3
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It takes the car 2 hours to travel 140 miles.