Answer:
24° and 66°
Step-by-step explanation:
Angle 1 = x
Angle 2 = x + 42°
x + x + 42° = 90°
Subtract 42° from both sides and add
2x = 48°
Divide by 2
x = 24°
24° and 66°
Hope this was useful to you!
14 20
---- = ----- cross multiply
3x x-5
14(x-5) = 3x (20)
14x - 70 = 60x
-14x -14x
-70 = 36x
/36 /36
-70/36 = x
or
-35/18 = x
Answer:
x and y are both equal to 57.5°
Step-by-step explanation:
180° - 65° = 115°
115 ÷ 2 = 57.5
Answer:
x = 4 ± 
Step-by-step explanation:
Given
(x - 12)(x + 4) = 9 ← expand the left side using FOIL
x² - 8x - 48 = 9 ( ad 48 to both sides )
x² - 8x = 57
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 57 + 16
(x - 4)² = 73 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ±
When parentheses are around a number being squared, the output value will always be positive.
For example: -2² vs (-2)²
-2² means the <em>negative of the square of two</em>, or -4
(-2)² means the <u /><em>square of negative two</em>, or 4
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