Question

select the correct answer.
what is the value of x to the nearest tenth?
$cos(50 + x)^{circ} = sin(2x - 6)^{circ}$
46
18.7
44
15.3

Explanation:

Step1: Use co-function identity

Recall that $\cos\theta = \sin(90^\circ - \theta)$. So:
$$(50 + x)^\circ + (2x - 6)^\circ = 90^\circ$$

Step2: Simplify the equation

Combine like terms:
$$50 + x + 2x - 6 = 90$$
$$3x + 44 = 90$$

Step3: Solve for x

Isolate the variable term, then solve:
$$3x = 90 - 44$$
$$3x = 46$$
$$x = \frac{46}{3} \approx 15.3$$

Answer:

15.3