What is the value of x? enter your answer in the box.

x = 28

Step-by-step explanation:

The ratio between the sides of the big triangle (APR) and the small triangle (CDR) should be the same. So side PR divided by side AR should be equal to side DR divided by side CR. So your equation should be set up like this.

(15 + 42)/(10 + x) = 42/x

Then you solve using algebra

57x = 42(10 + x)                Cross multiply

57x = 420 + 42x               Use the distributive property

15x = 420                         Subtract, combine like terms

    x = 28                           Divide, solve for x

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step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).