Answer:
C
Step-by-step explanation:
<em>hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe</em>
Answer:
The measure of angle C is
The draw in the attached figure
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
The sine of angle C is equal to divide the opposite side to angle C by the hypotenuse
substitute the values
Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
Answer: (6 x 2) - (4 x 5) + (12 / 4)