Answer:Theo worked for 10.5 hours.
Kade worked for 16.5 hours
Step-by-step explanation:
32,767/32,768 is in lowest terms and can't be reduced.
Answer: 4.500
Step-by-step explanation:
4x - 18 = 2 • (2x - 9)
2 = 0
2x-9 = 0
2x = 9
x = 9/2 = 4.500
The arc angle AC is measured as 55 degrees.
<h3>How to find arc angle?</h3>
If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.
Therefore, the secants intersect outside the circle at point E.
The arc angle AC can be found as follows:
Therefore,
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
arc angle AC = x
arc angle BD = 23 degrees.
m∠BED = 16 degrees.
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
16 = 1 / 2 (x - 23)
16 = 1 / 2x - 23 / 2
16 + 11.5 = 0.5x
27.5 = 0.5x
x = 27.5 / 0.5
x = 55 degrees.
Therefore,
arc angle AC = 55 degrees.
learn more on arc angle here: hhttps://brainly.com/question/23117081
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