Find the answer 29° 36° 49° 61°
1 answer:
<h3>Answer: Choice A, 29 degrees</h3>
Central angle CBA is a right angle, so it is 90 degrees. This means the arc measure from A to C, following the shortest path on the curve, is 90 degrees. This is minor arc CA. A minor arc is one that is less than 180 degrees in measure.
We want to find the measure of minor arc DE. This is the last piece of the puzzle, so to speak, that forms the entire arc ACD. This arc is 180 degrees because AD is a diameter.
So,
(minor arc DE) + (minor arc EC) + (minor arc CA) = arc ACD
x + 61 + 90 = 180
x + 151 = 180
x + 151 - 151 = 180 - 151 .... subtract 151 from both sides
x = 29
Minor arc DE is 29 degrees.
Check out the attached image below if you're still stuck. Hopefully the image clears any confusion you may have.
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Step-by-step explanation:
Check attachment
Answer:
the Pythagorean theorem states: a^2 + b^2 = c^2
1) in this case a=18 and b1=25
18^2 + 25^2 = c1^2
324 + 625 = c1^2
949 = c1^2
√949 = c1
cca. 30.8 = c1
2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15
in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1
now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2
3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20
same thing as number 2, final answer cca. 26.9 = c3
