Vertical angles are equal to each other:
∠2 = ∠3
5 + 4y = 6y - 25
→ 30 = 2y
→ 15 = y
∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65
linear pairs equal 180:
∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115
6 years
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
x = 6 years to the nearest year
Answer:
Total weight = 1,500 tons
Step-by-step explanation:
Given:
l = 5 ft
b = 5 ft
h = 6 ft
One cubic foot weighed = 0.1 tons
Find:
Total weight
Computation:
Volume = lbh
Volume = (5)(5)(6)
Volume = 150 ft³
Total weight = Volume / 0.1
Total weight = 150 / 0.1
Total weight = 1,500 tons
If patio is square it means that area of if is

where a is one side
Now we can substitute A=200 and solve eq

a=

a=14.1421
Now we are rounding to the nearest tenths
a=14.1 because next number is 4 and is less then 5.
The result is 14.1