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algol [13]
2 years ago
8

The sides of four triangles are given...

Mathematics
1 answer:
kari74 [83]2 years ago
3 0

Answer:

Triangle C is

Step-by-step explanation:

can i get brainliest answer pleaseeee

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Make Q the subject of the formula A = Q2 - 2a.
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\huge\boxed{Q = \sqrt{A+2a}}

Step-by-step explanation:

A = Q^2 -2a

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Q^2 = A+2a

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3 years ago
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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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2 years ago
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Solve The Problem -3+2x=7
BlackZzzverrR [31]
2x = 7 + 3
2x = 10
x = 10/2
x = 5
S: {5}
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