If the two shapes at the right are similar, calculate the value of x

So we can see that these are similar shapes. So we can get a ratio for this'

21:51 is our ratio now we just need to compare to our second ratio

2x+3:34. So now we just need to get our multiplier which will be 34/51 because we're getting smaller. So we just need to multiply it by 21

21*34/51 = 14. So now we know that 14 = 2x+3

14 = 2x+3. Do simple algebra and get x = 11/2.

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.