3 years ago

CAN YOU ADD 2 TO PI TO GET A RATIONAL NUMBER

Mathematics

1 answer:

butalik [34]3 years ago

6 0

No because Pi is an irrational number so adding 2 to Pi will also be irrational.

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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

3 years ago

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Find the slope of the line that passes through the points (0-2) and (1.4).

vredina [299]

Answer:

m = 6

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{4+2}{1-0}=\frac{6}{1}=\boxed{6}$

Hope this helps!

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3 years ago

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Which anwser choice would it be?

barxatty [35]

A is the answer for this one

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3 years ago

5 2/5 x 9 2/10<br><br> Please help *multiplying fractions

Maurinko [17]

Answer:

18/5 or 3 3/5

Step-by-step explanation:

Depends if you want it simplified

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3 years ago

Test time limit need answer quickly!

Rus_ich [418]

Answer:

its b!!! gimmie brainliest

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2 years ago