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Oksana_A [137]
3 years ago
13

Carla and rob left a 20% tip after having lunch at a restaurant the amount of the tip was $6 Carla's lunch cost $15 which equati

on can you use to find x, the cost of robs lunch
Mathematics
1 answer:
siniylev [52]3 years ago
6 0
This question is a little tricky.  Carla had a bill of $15, which we will add to the cost of Rob's lunch.  They left a 20% tip on the TOTAL cost of both their lunches, which should equal $6.  20% is equivalent to 0.2.  So, the equation is 6=0.2(x+15).  In other words, 20% of the sum of Carla and Rob's lunches is 6 dollars.

Answer: 6=0.2(x+15)
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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>

AC ║ DE

∠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>

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)

(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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(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

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