Find the m ∠YXZ. Show your Work
1 answer:
Answer:
∠YXZ = 62°
Step-by-step explanation:
A straight line measures 180 degrees
The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:
Z + 8x - 14 = 180
Z = 180 +14 - 8x
Z = 194 - 8x
Sum of 3 angles of a triangle is 180 degrees, thus we can write:
X + Y + Z = 180
3x + 5 + 4x + 194 - 8x = 180
Now, we solve for x:
The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:
3x + 5
3(19) + 5
62
Thus,
∠YXZ = 62°
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Find the circumference of the circle and show work. [refer to
attachment]
Formula for Circumference of a Circle:-
Where
- C = circumference
- π = pi (3.14…)
- r = radius, which in this case is equal to 8
Substitute the value of r and solve:-
C=2π(8)
On simplification,
C=16π
On further simplification,
C=50.3
Therefore, we conclude that the circumference of this circle is
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