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olga_2 [115]
3 years ago
14

The charge for a bicylce repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total co

st (c) of the repair?
Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0
9.28 plus 2 is 11.28. 1/4 of 18 is 4.50. Add 4.50 to 9.28 and your total is $15.78.

The equation would be:
9.28+18(.25)+2=c
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Answer: x = 50

Concept:

Here, we need to know the idea of alternative interior angles and the angle sum theorem.

<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.

The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°

If you are still confused, please refer to the attachment below or let me know.

Step-by-step explanation:

<u>Given information:</u>

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∠ABC = 85°

∠A = 135°

<u>Find the value of ∠BAC</u>

∠A + ∠BAC = 180° (Supplementary angle)

(135°) + ∠BAC = 180°

∠BAC = 45°

<u>Find the value of ∠BCA</u>

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(85°) + (45°) + ∠BCA = 180°

∠BCA = 50°

<u>Find the value of x (∠EBC)</u>

∠EBC ≅ ∠BCA (Alternative interior angles)

Since, ∠BCA = 50°

Therefore, ∠EBC = 50°

\Large\boxed{x=50}

Hope this helps!! :)

Please let me know if you have any questions

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