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Brut [27]
3 years ago
11

GIVING BRAINLIEST FOR ANSWER AND STEPS:

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

B

Step-by-step explanation:

3.8 = 3.800

3.8 - 2.355 = 1.445

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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
The product of 2 times a and 5 times b
geniusboy [140]

Answer:

2a * 5b

Step-by-step explanation:

2 times a = 2a

5 times b = 5b

The phrase "the product" shows the 2 elements are being multiplied together.

6 0
3 years ago
An angle made with two radii whose vertex is at the center of a circle is the definition of what
Katena32 [7]

Answer: congruent central angles

Step-by-step explanation:

A central angle is an angle formed by two radii with the vertex at the center of the circle. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. In a circle, or congruent circles, congruent central angles have congruent arcs.

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3 years ago
HELP PLEASEEEEEEE WILL MARK YOU AS BRAINLEIST no guesses please!!!
Anastaziya [24]

-4, +1

And then the 20 letters i need to write are right here

4 0
3 years ago
-8 and 8 both have an absolute value of...
xeze [42]

Answer:

8

Step-by-step explanation:

absolute value of -8 = 8

absolute value of 8 = 8

7 0
3 years ago
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