<h3>Answer: 104 degrees</h3>
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Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc BCD = 2*(angle A)
arc BCD = 2*(97)
arc BCD = 194 degrees
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Break arc BCD into its smaller pieces
arc BCD = (minor arc BC) + (minor arc CD)
194 = (90) + (minor arc CD)
194-90 = minor arc CD
104 = minor arc CD
<h3>minor arc CD = 104 degrees</h3>
Step-by-step explanation:
y + 3 = - (x + 3)
y + 3 = -x - 3
y = -x - 6
Answer:
A
Step-by-step explanation:
We can find the surface area of the object by adding the surface areas of each part. We have many rectangle faces to count and two triangular faces. Each has a formula for the area. We will find the area of each and then add them all together.
Triangle - 0.5 *b*h
Rectangle - b*h
<u>Triangles</u>
There are two triangles on either side. The height is 1.5. The base is 1.8.
0.5(1.5)(1.8)=1.35 meters squared
Since there are two, we will add 1.35+1.35 in our final calculation.
<u>Rectangles</u>
We will start by calculating the largest rectangle on the side. It has height of 4 and a base of 2.5 (shown above left).
4(2.5)=10
Since there are two (one we can see and one we can't), we will add 10+10 in our final calculation.
Next we calculate the top and bottom. The height is 3 and the base is 2.5 on top. But the bottom sticks out more and adds 1.8 to its base.
Top - 3(2.5)=7.5
Bottom-3(2.5+1.8)=12.9
Finally, we will calculate the front side and back(not visible) as well as the slant up front. The back side has height 4 and base 3. The front side has base 3 and height 4-1.5=2.5. The slant has base 2.3 and height 3.
Back - 4(3)=12
Front- 3(2.5)=7.5
Slant - 3(2.3)=6.9
We add all together for the total surface area: 1.35+1.35+10+10+7.5+12.9+12+7.5+6.9=69.5 meters squared.
Answer:
72
Step-by-step explanation:
All angles add up to 360
Answer:
Step-by-step explanation:
As a result of the pythagorean theorem we can say that a^2+b^2=c^2
In this case, we have bc and ab missing side ac. So the equation looks something like this
dont get confused by the ac in the problem i only wrote it like that because ac is the length representation. So 16+ac^2=121 and with algebra we can solve to ac^2=105 or side ac=