Answer:
60°
Step-by-step explanation:
Since g||h the sum of angle 1 and angle 2 must be equal to 180
4x + 36 + 3x - 3 = 180
7x + 33 = 180
7x = 147
x = 21
The sum of angle 1 and angle 3 is equal to 180 because they are complementary angles
m<1 = 4x + 36 ➡ 4 × 21 + 36 = 120° so angle 3 = 60°
Answer:
59
Step-by-step explanation:
The answer is (-7,3). Hope it helps. Tell me if you need the whole work or if I'm wrong.
Answer:
−9t−4
Step-by-step explanation:
Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
