X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
1. Annual percent increase in rent is basically just a percentage of the rent increased each year.
2. Heater: Use fire places, or lower the amount of air conditioning usage so it's not so cold.
Electricity: Turn off ceiling fans and lights when not used, or only allow the essential things to use electricity.
Water: Not leave faucets or showers running, or no bathtubs which prevents baths.
3. The couple could save $450 in one year because 3000 divided by 0.15 which is the 15%, equals to the total amount saved at $450.
4. Groceries/everyday essentials, Gas money, taxes, pay off loans.
Answer:
$41,678.09
Step-by-step explanation:
350 X 52 = 18,200
0.0225 X 1,043,507
18,200 + 1,043,507 = $41,678.09
Corresponding sides on either side of ED are proprotional, so
(x+2)/112 = 62/99.2
x +2 = 112*62/99.2 = 70
x = 68 feet