<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:
B
Step-by-step explanation:
Let's create an equation in point-slope form, which is: 
, where 
is the point and m is the slope.
Here, our point is (-2, 7) and our slope is m = -5 so plug these in:
Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:
2 - 7 = -5(a + 2)
-5 = -5(a + 2)
Divide by -5:
1 = a + 2
Subtract 2 from both sides:
a = -1
Thus, the answer is B.
Hope this helps!
Answer:
521,400 meters squared
Step-by-step explanation:
With the 1cm = 100m scale
6.6 cm = 660m
7.9 cm = 790m
Area = 660 x 790 = 521,400 meters squared
Answer:
3+2x
Step-by-step explanation:
Distribute the equation out.
1/4(12+8x)
(1/4*12)+(1/4*8x)
Multiple those out to get a new equation
3+2x
You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x
