Answer:
3x – 2 = 76 (Alternate Interior Angles)
3x = 76 + 2
3x = 78
x= 26°.
x + 2 = 40 (Alternate Interior angles).
x = 40 - 2
x= 38
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12.25 - 5.5 = 6.75
The blue balloon had 6.75 more ounces of water than the red one.
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 13² + 4² = 169 + 16 = 185 ( take the square root of both sides )
x =
≈ 13.6 ( to 1 dec. place ) → B
So first you would set up the equation of 48 = x + x + 3(2)x + 3(2)x. Perimeter is equal to width + width + length + length-- x is width, length is 3 times 2x, so that's where that equation comes from. You combine like terms and get 48 = 2x + 6x + 6x or 48 = 14x. You then divide by 14 and get x ≈ 3.4. Then to find the dimensions you substitute it back to what I said the dimensions were. Width is x, so width is around 3.4. Length is 3 times twice the width (x) so 3(2x) or 6x. So you substitute ≈3.4 for x and get ≈20.6. The width is ≈3.4 and the length is ≈20.6 (the dimensions).