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miss Akunina [59]
3 years ago
15

Find the product. Tell which strategy you used.

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

You need to provide a screenshot or recreation of the rest of the problem's information.

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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

5 0
3 years ago
Read 2 more answers
I need help with this
sergejj [24]

Answer:

20

Step-by-step explanation:

<em>5+5+5+5</em>

6 0
3 years ago
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg
fomenos

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

4 0
3 years ago
Constant rate of change = 4<br> Y -intercept = 7
Levart [38]

Answer:

You would write it like -

y = 7 + 4x

or y = 4x + 7

8 0
3 years ago
Read 2 more answers
How do you do this??? 5x+9y+3x-2y this is a algebraic exercise plz help!!!
densk [106]
Combine like terms.

4. 5x+9y+3x-2y
8x+7y

7. 22u-6u+4t+4t-8u
8u+8t

10. 23m+4n-3m
20m+4n
6 0
3 years ago
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