Answer:
B
Step-by-step explanation:
Remark
This is a monster when you first come across it, but later on you will not be fooled.
Construction
- Draw a line from E to the center of the circle.
- Label the center of the circle O
- OE and OF are both radii.
- They form the central angle of the ArcEF
Solution
Find the value of Arc EF
The value of Arc EF = 360 - 244 = 116
The value of <FOE also = 116. (The arc and the central angle are equal.)
ΔFOE = 116 degrees See above statement
ΔFOE is isosceles Two of it's sides are radii.
The two base angles can be solved. Call each one x
2x + 116 = 180 All triangles have 180 degrees
<u> -116 -116 </u> Subtract 116 from both sides
2x = 64 Divide by 2
x = 32 <EFO = 32
<EFO = 90 Where the tangent meets the radius forms a 90o angle.
<EFO + GFE = 90
32 + GFE =90
GFE = 90 - 32
GFE = 58
Answer: B
Answer:
Yes, x = 0 is a solution to the given equation
Step-by-step explanation:
- (Given)
- (Plug x = 0)
- Thus, x = 0 is a solution to the equation
<h3>
Answer: <u>
2.4 hours</u></h3>
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Explanation:
She has already ran 8 miles, so she has 26-8 = 18 miles left to go.
She runs at a pace of 7.5 mph, which means she has 18/(7.5) = <u>2.4 hours</u> left to go.
I used the equation distance = rate*time, and solved for time to get time = distance/rate.
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Another approach:
Here's how you can use algebra.
x = time she has left in hours
7.5x = distance covered in those x hours
7.5x+8 = total distance
7.5x+8 = 26
7.5x = 26-8
7.5x = 18
x = 18/(7.5)
x = 2.4
Answer:
Step-by-step explanation:
The rationalizing factor of
is
You would do 20-8= to 12 so the difference between the cat and dog is 12 ft