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Oksana_A [137]
3 years ago
6

Someone help plz and plz put an answer plz

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

14.7

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

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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What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)
zhuklara [117]
(2,5) hope this helps!
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Hs Geometry <br> Solve for a
asambeis [7]

Answer:

the answer is A ........._________---------

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Question 1: A store pays $50 for a pair of shoes. The markup is 25%.
ehidna [41]

Answer:

1) selling price is $62.50 and 2) total cost would be $66.25

Step-by-step explanation:

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3 years ago
Find the sum (the total measure) of the interior angles of a 17 sided polygon??
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The formula in finding the sum or the total measure of the interior angles of polygon having n sides is:

Sum of interior angles = (n – 2) 180

Where n = number of sides of the polygon

In this problem, you are asked for the sum of the interior angles of a 17 sided polygon. You have to substitute the number of sides to the formula:

Sum of interior angles = (17 – 2) 180

Sum of interior angles = (15) 180

Sum of interior angles = 2,700 degrees

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4 years ago
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