At the end of a summer sale, an air conditioner that originally sold d for 350 was on sale at a discount of 30%. What was the sa
1 answer:
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Answer: 720 square feet.
Step-by-step explanation:
Given : Elliott’s backyard is 4800 square feet.
His dad is going to pave 15% of this area to use as a patio.
We can rewrite 15% as 0.15 [To convert percent into decimal we divide it by 100.]
Then , the number of square feet will be paved is given by :-
Hence, the required answer is 720 square feet.
Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
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Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
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The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
