Answer:
Angle NKQ is 68 Degrees.
Step-by-step explanation:
With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.
Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.
Since Angle NKQ shares these arcs, we can use the equation:
Big Arc + Small Arc / 2
to get the measure of this angle
(248 - 112) / 2
With this, Angle NKQ is 68 degrees.
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746
Answer: 1,225 ≤ 2t - 500
Step-by-step explanation: t = tickets
Answer: c = 8 yards
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(45) = c/(8*sqrt(2))
c = 8*sqrt(2)*cos(45)
c = 8*sqrt(2)*(1/sqrt(2))
c = 8
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Optionally, you can use the 45-45-90 triangle template which says that the length of the leg of this triangle is x and the hypotenuse is x*sqrt(2)
Since 8*sqrt(2) is the given hypotenuse, this must mean x*sqrt(2) = 8*sqrt(2) so x = 8
