Answer:
<em>160°</em>
<em />
Step-by-step explanation:
We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).
<em>that would mean that Angle KAW is </em><em>half </em><em>of measure of Arc KW.</em> Thus we can write:
m∠A = 0.5 (arc KE + arc EW)
x+45 =0.5 (x+20+3x)
x+45 = 0.5(4x+20)
x+45 = 2x + 10
45 - 10 = 2x - x
Thus, x = 35
<em>Since Arc KW = Arc KE + Arc EW and x = 35, we can say:</em>
<em>Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°</em>
Answer:
what's the division problem I could help real quick
Answer:
37.86 mph and 40.86 mph
Step-by-step explanation:
The speed for the first session is x, for the second session will be x+3
Average speed= (x+x+3)/2= x+1.5
Total distance covered will be 228+205=433 miles
Time= 11 hours
Time= Distance/ speed
Speed= distance/time
Average Speed= 433/11
x+1.5=433/11
x+1.5=39.36363636
x=39.36363636
-1.5= 37.86363636
Approximately, x= 37.86 mph
x+3=37.86+3= 40.86 mph