Answer:
Explanation:
AB = BC
=> Triangle ABC is an Isosceles Triangle
Thus, Angle C = Angle A
DE = BE
=> Triangle DEB is an Isosceles Triangle
Thus, Angle D = Angle B
Proof that triangle ABC and DEB are similar:
Angle DBE = Angle A (corresponding angle)
Angle BDE = Angle C (Both Triangle are Isosceles, if one pair of the angle are equal then the other pair should also be equal)
=> Triangle ABC ~ Triangle DEB (AA)
Therefore, Angle E = Angle B
Find angle B:
Angle C + Angle A + Angle B = 180
40 + 40 + angle B = 180
Angle B = 180 - 80
Angle B = 100 degree
But Angle B = Angle E = 100 degree
Therefore, Angle E = 100 degree
Answer:
The width of the skatepark is 100ft^2.
Step-by-step explanation:
Total area= 6000ft^2
The Formula for area= L x W (depends on the shape, but in this case that is the formula)
Length= 60 ft
Width = 100
60 x 100= 6000ft^2
Hope this helped!
Answer:
$13,793
Step-by-step explanation:
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *
The formula for Depreciation rate =
y = a(1 - r) ^t
Where
y = Value of the car after t years
a = Initial value of the car = $23,000
t= time in years = 4 years
r = Depreciation rate = 12% = 0.12)
y = $23000 (1 - 0.12)⁴
y = $13792.99328
Approximately = $13,793:
Answer:
Yes he has enough boxes to meet quota.
Step-by-step explanation:
4 x 8 = 32 This is over what he is requried to meet quota he is at quota.
form:
.