(x + 4) (3x + 2) what are the two unknow angle measures that form the 90 angle?
To find the two unknown angle measures that form the 90-degree angle, we need to set the product of the two expressions equal to 90 and solve for x.
(x + 4)(3x + 2) = 90
Expanding the expression:
3x^2 + 2x + 12x + 8 = 90
3x^2 + 14x + 8 = 90
Rearranging the terms:
3x^2 + 14x - 82 = 0
Now, we need to solve this quadratic equation for x. We can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
Where a = 3, b = 14, and c = -82.
Using the quadratic formula, we find:
x ≈ -5.93 and x ≈ 4.60
Therefore, the two unknown angle measures that form the 90-degree angle are approximately -5.93 degrees and 4.60 degrees.