Question

All of the details to the question are in the picture that is attached in this question, please helpp

Answer 1

Answer:

10

Step-by-step explanation:

The arc length of the semicircle is

• a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10

As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.

So,

• (42/180)(5a+10)=a+4
• 42(5a+10)=180(a+4) [multiply both sides by 180]
• 210a+420=180a+720 [distributive property]
• 30a+420=720 [subtract 180a from both sides]
• 30a=300 [subtract 420 from both sides]
• a=10 [divide both sides by 30]