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Arisa [49]
3 years ago
13

Workout the following divisions.​

Mathematics
1 answer:
IgorC [24]3 years ago
4 0

Answer:

Here. Tell me if you don't understand my writing.

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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
Which equation or function is linear?
zepelin [54]

9514 1404 393

Answer:

  C.  2y = (2x-1)/4

Step-by-step explanation:

An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.

a) 3xy = 4 . . . . sum of exponents is 1+1=2

b) f(x) = 2/3(1 -x^2) . . . . exponent is 2

c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)

d) y = 3/(x+1)  ⇒  xy +y = 3 . . . . sum of exponents is 1+1 = 2

8 0
3 years ago
Which inequality is represented by this graph?
ohaa [14]

Answer:

B

Step-by-step explanation:

The line is solid, so eliminate A and D.

Also, the line is shaded below, so this eliminates C.

6 0
2 years ago
2y - 8x - 20<br><br> In slope
lilavasa [31]

Answer:

y=4x+10

Step-by-step explanation:

2y-8x-20=0

2y-8x=0+20

2y-8x=20

2y=8x+20

y=4x+10

Hope that will help!!

8 0
3 years ago
The solution of a system of two linear equations yields the equation 0=3. Describe what the graph of the system looks like.
Alenkasestr [34]
Well TBH, does 0 really equal 3. no that means that they are parallel, there is no point of intersection.
4 0
3 years ago
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