The red chord is a diameter of the circle, so the length of the blue arc is half the circle's circumference.
The circumference of a circle with diameter is
, so the circle has circumference
, and so the arc has length
.
Four big water bottles can hold 8 gallons of water. How much water can 3 big water bottles hold?
2 answers:
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Answer:
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.