find the cosine of $angle x$.\nsimplify your answer and write it as a proper fraction, improper fraction, or…
find the cosine of $angle x$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$cos(x) = square$
Answer
Explanation:
Step1: Confirm similar triangles
$\triangle TUV \sim \triangle XYW$ (right triangles, shared acute angle)
Step2: Identify $\angle X$ adjacent/hypotenuse
For $\angle X$ (matching $\angle T$): Adjacent side = 24, Hypotenuse = 26
Step3: Simplify the fraction
$\cos(X) = \frac{24}{26} = \frac{12}{13}$
Answer:
$\frac{12}{13}$