Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

Solve the exponents

Collect like terms

Take square roots

Expand

Split

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.

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