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>
What first of all this is a test second how are we supposed to do that where can we find M
Answer:
Simon takes approximately 13.76 hours to complete the job alone.
Step-by-step explanation:
We are given the following in the question:
Kamila can do a job in 26 hours
So, part of work done by Kamila in 1 hour =
Simon and Kamila working together can do the same job in 9 hours
.
So, (Simon and Kamila)'s 1 hour work =
So, Simon's 1 hour work =
So,
Simon can do 
part of work in hour = 1
Time taken by Simon to complete the job alone =
Thus, Simon takes approximately 13.76 hours to complete the job alone.
Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
WX represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine WY, we would apply the Sine trigonometric ratio
Sin θ = opposite side/hypotenuse. Therefore,
Sin 36 = 5/WY
WY = 5/Sin36 = 5/0.5878
WY = 8.5 to the nearest tenth
