<h3>
Answer: 226 degrees</h3>
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Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
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Use this x value to find the measure of arcs DC and CB
- arc DC = 12x+7 = 12*5+7 = 67
- arc CB = 18x-23 = 18*5-23 = 67
We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
Answer:
2. Substitution property
3. Given
4. Definition of congruent angles
5. Substitution property
6. Subtraction property of equality
7. Definition of congruent angles
8. Given
9. Definition of equilateral triangle
11. SAS (10, 7, 9)
Step-by-step explanation:
If 12 pairs of socks sell for $5.79, then the unit rate is 12 : 5.79. If we want to find a unit rate for one pair of socks, we need to divide 5.79 by 12:
5.79 / 12 = 0,4825
So the unit rate is 1 : 0.4825
Hope this was helpful, and if so, please mark as brainliest. ((: Thank you!
