A jewelry store has a 40% off sale for all necklaces what is cost of a necklace that regularly cost $424
2 answers:
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Answer:
Step-by-step explanation:
Directions
- Draw a circle
- Dear a chord with a length of 24 inside the circle. You just have to label it as 24
- Draw a radius that is perpendicular and a bisector through the chord
- Draw a radius that is from the center of the circle to one end of the chord.
- Label where the perpendicular radius to the chord intersect. Call it E.
- You should get something that looks like the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.
Givens
AC = 13 inches Given
CB = 24 inches Given
CE = 12 inches Construction and property of a midpoint.
So what we have now is a right triangle (ACE) with the right angle at E.
What we seek is AE
Formula
AC^2 = CE^2 + AE^2
13^2 = 12^2 + AE^2
169 = 144 + AE^2 Subtract 144 from both sides.
169 - 144 = 144-144 + AE^2 Combine
25 = AE^2 Take the square root of both sides
√25 = √AE^2
5 = AE
Answer
The 24 inch chord is 5 inches from the center of the circle.
Step-by-step explanation:
Steps of Construction
(i) Draw ray AB.
(ii) Construct ∠BAC = 60°.
(iii) Construct ∠BAD = 90°.
(iv) Bisect ∠CAD, so that ∠CAE = ∠EAD = 15°.
(v) We obtain ∠BAE = ∠BAC + ∠CAE = 60° + 15° =75°.
Hope this Helps!!!!
