The circle is inscribed in Triangle AEC. Which are congruent line segments
2 answers:
Answer:
E-F and E-D
C-B and C-D
Step-by-step explanation:
The circle and triangle are as shown. The options are:
- A-B and C-B
- E-F and E-D
- E-D and C-D
- A-F and E-F
- C-B and C-D
By drawing radius lines from the center of the circle to the tangent points B, D, and F, we can divide the triangle into 3 kites. Therefore, only segments that are legs of the same kite are congruent. So the answer must be E-F and E-D, and C-B and C-D.
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Answer:
18 inches and 57 inches
Step-by-step explanation:
The diameter and the circumference of a circle are proportionate to each other.
The circumference of a circle will always be the diameter times . We know this because the circumference of a circle is represented as
Since the diameter is twice the radius, we multiply the radius by 2 - there's already a in this equation, so
.
1st option: , this is close to 57 so it's reasonable.
2nd option: , this isn't close to 28 at all.
3rd option: , this isn't close to 80 at all.
So the 1st option is reasonable.
Hope this helped!
The problem you have written
simplifies to
_____
If you intend
then you can multiply by the appropriate fraction to get your first answer choice.