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2 years ago

How to make 9 2/5 into a improper fraction and plz show your work because my brain is not that smart

Mathematics

1 answer:

aliina [53]2 years ago

5 0

Answer:

47/5

Step-by-step explanation:

First step: multiply the denominator (bottom of the fraction) of the fraction by the whole number.

5*9 = 45

Second Step: add the numerator

45 + 2 = 47

Third step: Put the result over the denominator.

47/5

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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:

$PC\cong BQ$

5 0

2 years ago

Read 2 more answers

What’s the equation of the line that passes through (2,3) and is parallel to the line 12x-5y=2

TiliK225 [7]

12x-5y=2

-5y=2-12x

y=-2/5+12/5x

should know the m=12/5

and (2,3) bring them to the line equation:

3=12/5x2+b

6/5+b=3

b=3-6/5

b=9/5

y=12/5x+9/5

Which means the answer is not in the choices.

3 0

3 years ago

What is 86% of 40?????????

Zina [86]

To find what 86% of 40 is, first convert 86% to a decimal, then multiply that decimal by 40.

86% = 0.86
0.86 • 40 = 34.4

So 86% of 40 is 34.4.

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2 years ago

Hey can someone help me please ?

damaskus [11]

I think I'm not sure but I think it's B

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3 years ago

Nicole Nichols purchased a new carpet for $287 and a vacuum cleaner for $121. What is the sales tax if she

Leto [7]

D. 24.48...................

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3 years ago