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4 years ago

Solve leave in simplified form.

Mathematics

2 answers:

ELEN [110]4 years ago

7 0

Answer:

6 service contracts were sold.

Step-by-step explanation:

A salesperson earned $300 a week plus a bonus of $18 for each service contract sold.

Weekly Salary = 300W + 18X

where W = number of weeks and X = number of service contracts sold.

the pay one week was $408 how many service contracts were sold?

Weekly Salary = $408

W = 1 week

408 = 300(1) + 18X

408 = 300 + 18X

408 - 300 = 18X

108 = 18X

108/18 = X

6 = X

chubhunter [2.5K]4 years ago

7 0

Answer:

6 contracts

Step-by-step explanation:

to find the number of contracts sold we must subtract the earning from the money earned and then divide the extra money earned by 18. We get the answer as 408 - 300 = 108 . 108÷18 = 6

hence 6 contracts were sold.

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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:

$\angle PAC\cong \angle QAB$

Then by SAS Congruence:

$\Delta PAC\cong \Delta BAQ$

And by CPCTC:

$PC\cong BQ$

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3 years ago

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NNADVOKAT [17]

Answer:

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Step-by-step explanation:

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Answer:

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