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galina1969 [7]
3 years ago
8

Identify the statement as an expression or an equation. 3(4x - 12) 2 4(x - 3)

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

expression

Step-by-step explanation:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

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10x+7=12x-5<br> what is x
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10x+7=12x-5
X equals 6
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The sum of three numbers is 36. The first number is two times the second number, and the second number is
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o (16, 8, 12)

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True or false, If false replace the word
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If quadrilaterals ABCD and WAYS have corresponding angles congruent and corresponding sides proportional, they are called cross products is

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A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the cof
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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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