<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:
24
Step-by-step explanation:
6x4
8x3
Answer:
radius is 2.5
volume of ice cream is 58.9 cm cubed
Step-by-step explanation:
to calculate the volume of a cone v=pi x r^2 x (h/3)
v=volume
r=radius
h=height
^ means powers and roots
depth in cones is the same as height
v=3.14 x 2.5^2 x (9/3)
order of operations
v=3.14 x 2.5^2 x 3
v=3.14 x 6.25 x 3
v=19.625 x 3
v=58.875
round
v=58.9
Answer:
PT, VP
Step-by-step explanation:
if p is the center and T V and W are on the circle
the radius goes from the center of the circle to the edge of the circle
then PW PT and PW are radii of the circle
If that is a rhombus as it says it is, then the diagonals are perpendicular to one another, meaning where they meet, they form right angles. Therefore, angle x is a 90 degree angle.
