Answer: length = 12
<u>Step-by-step explanation:</u>
Use Pythagorean Theorem: length² + height² = hypotenuse²
length = L
height = L - 7
hypotenuse = L + 1
L² + (L - 7)² = (L + 1)²
L² + L² - 14L + 49 = L² + 2L + 1
2L² - 14L + 49 = L² + 2L + 1
L² - 14L + 49 = 2L + 1
L² - 16L + 49 = 1
L² - 16L + 48 = 0
(L - 4)(L - 12) = 0
L - 4 = 0 L - 12 = 0
L = 4 L = 12
Input L = 4 and L = 12 to find the height:
Height = L - 7 height = L - 7
= 4 - 7 = 12 - 7
= -3 = 5
↓
negative height is not valid
So, the only valid solution is L = 12
81/450 is 0.18.
If you move the decimal place to the right two spots, you've got your percentage.
18% said they preferred country music.
We always have to remember that the interior angle and its corresponding exterior angle of the hexagon will always add up to 180° Here's an example 120° + 60° = 180°.
The correct answer is (D).