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3 years ago

(Once again) "find the value of x"

Mathematics

2 answers:

alukav5142 [94]3 years ago

8 0

Answer:

Step-by-step explanation:

geniusboy [140]3 years ago

5 0

Answer:

Step-by-step explanation:

4x+2x=90

6x=90

x=15

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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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Match the equation with its corresponding solution for x.<br> 4+x+2-2x=5

Leto [7]

4+x+2-2x=5
-x+6=5
-x+6-6=5-6[tex]
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x+1

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4 years ago

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A quadratic function is increasing on the interval x>4 and decreasing on the interval x<4. It has a minimum value of 1 and

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DaniilM [7]

Answer:

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Step-by-step explanation:

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