Any decimal that repeats some pattern of digits forever can be converted into a fraction. The digits that repeat
are the numerator of the fraction, and the denominator
contains the same number of 9s as there are digits that
repeat.
Can you explain why this pattern occur?

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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