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Bond [772]
3 years ago
14

A classroom has 4 new boxes of chalk and 6 individual pieces of chalk in use. How many total pieces of chalk are in the classroo

m?
Mathematics
1 answer:
AveGali [126]3 years ago
8 0
The total number of pieces of chalk in the classroom will be the number of pieces in the 4 boxes in addition to the six individual pieces.

The average box of chalk holds 12 pieces of chalk
This means that 4 boxes have 12*4 = 48 pieces

Total number of pieces = 48 + 6 = 54 pieces of chalk
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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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Neporo4naja [7]

Answer:

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The answer to the question is 12
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∠Q and ∠R are complementary. If m∠Q = 33.8°, what is m∠R ? m∠R = 146.2° m∠R = 33.8° m∠R = 123.8° m∠R = 56.2°
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Complementary angles add together to equal 90 degrees.

R = 90 - 33.8

R = 56.2 degrees.

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3 years ago
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zlopas [31]

Answer:

2>y

Step-by-step explanation:

4/9>y/18

Here u cross multiple

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72/9>9y/9

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