Find the cosine of ∠T.

ANSWER: ∠T = 32.4°

Remember the formula for the basic trig functions: SOH CAH TOA

Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem   with a and b being the side lengths and c being the hypotenuse.

Using the theorem, we get c=37

Now use the cosine formula to get <T = 12/37  to get the final answer.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.