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Fofino [41]
2 years ago
11

The cost of dinner for 5 friends was $75, plus a $15 tip. If the cost of the meal and tip was split eqaully among the friends, h

ow much did each of them pay?
$15
$90
$18
$12
Mathematics
1 answer:
stiv31 [10]2 years ago
3 0
They each paid $18. 75+15= 90 and 90/5=18
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Step-by-step explanation:

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

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\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
2 years ago
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Answer:

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Step-by-step explanation:

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If you want to translate the phrase 30 added to a number that is decreased by 5 into a math expression, you can do it like this:

a number ... n
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Now you just have to put this together: n + 30 - 5 or n - 5 + 30. So, the correct result is a.

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3 years ago
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