<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:
x = 8
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180°
That being said we can create an equation to solve for x
( note that this is a right triangle indicated by the square. A right triangle has a right angle which has a measure of 90° )
180 = 90 + 5x + 5 + 5x + 5
now we solve for x using basic algebra
step 1 combine like terms
90 + 5 + 5 = 100
5x + 5x = 10
now we have 180 = 100 + 10x
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 10x = 80
step 3 divide each side by 10
10x / 10 = x
80 / 10 = 8
we're left with x = 8
Answer:
<h2>
x
- x - 6</h2><h2 />
Step-by-step explanation:

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)

Calculate the product

Collect like terms

Hope this helps..
Best regards!