<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:
a+9b+10
Step-by-step explanation:
use foil method
Answer:
35cm
Step-by-step explanation:
The net of a regular pentagon has 10 sides.
Since each of the faces are equilateral triangles, the side lengths are equal.
Therefore:
Length of each side of the net = 70/10 =7cm
Therefore, the base is a regular pentagon of side length 7cm.
The perimeter of the base of the pyramid = 5 X 7
=35cm
The perimeter of the base of the pyramid is 35cm.
Answer:
g = number of girls;
b= number of boys
we know that: g= 6+2b
and that: g+b= 156 kids in total
so we may write g+b=(6+2b)+b=6+3b
but g+b= 156
so 6+3b = 156 => 3b= 156-6=150 => b=150/3=50 => b = 50 (number of boys)
g= 6+2b= 6+2 x 50= 106 => g =106 (number of girls)
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
6/10=9/x
cross multiply
6x=9*10
6x=90
x=90/6x=15
