Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
36 quarters 48 dimes 64 nickels
Step-by-step explanation:
quarter = q
dime = q+12
nickel = 2q-8
$17 = 1,700 cents
(q)25 + (q+12)10 + (2q-8)5 = 1,700
25q +10q+120 +10q-40 =1,700
45q+80 = 1,700
45q = 1620
q= 36
36 QUARTERS x25 = 900cents
48 DIMES x10 = 480 cents
64 NICKELS x 5 = 320 cents
TOTAL 1,700 cents ($17)
You are adding 40 every time.
The 100th term is 7+(99*40)=3967
The average cost in 1990 is <span>$12,841.</span>