A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08
sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25
∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°
This is the answer for the rate of change. (0,80) (5,40)
<span>12(x-2)<24
Multiply the number outside the parenthesis with the numbers inside the parenthesis
12x-24<24
Add 24 to both sides
12x<48
Divide both sides by 12 so that x is the only thing remaining on the left side is the x variable.
Final Answer: x<4</span>
Im not entirely sure but i got 3x^2y