Answer:
• x = 9
• y = 6√2
Step-by-step explanation:
The right triangles are all similar, so the ratios of hypotenuse to short side are the same:
27/x = x/3
x^2 = 81 . . . . . multiply by 3x
x = 9 . . . . . . . . take the square root
Then y can be found from the Pythagorean theorem:
x^2 = y^2 + 3^2
81 - 9 = y^2 = 72 . . . . . subtract 9
y = √72 = 6√2 . . . . . . .take the square root
The values of x and y are 9 and 6√2, respectively.
The x becomes negative because the negative sign at the start of the parenthesis distributes to everything inside parenthesis so x becomes -x and the double negative becomes +6 so that is why
20^2 = 16^2 +x^2
400= 256+ x^2
x^2 = 400 -256
x = 144^1/2
=12
b. yes
Answer:
C. he did not multiply the numerator by 2
Step-by-step explanation:
To find an equivlent fraction, you must multiply the numerator and denominator by the same thing.
Answer:
x = 30
Step-by-step explanation:
All the angles on a point add up to 360°. Thus, you can find 2x easily.
2x = 360° - 300°
= 60
x = 60 ÷ 2
= 30
