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3 years ago

Do the segments with lengths of 29 19 and 29 form a triangle

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

yep this is a triangle becasue to side are the same

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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

2 years ago

Read 2 more answers

Sammy drew a rectangle that was w inches wide. The length was 4 inches more than the width. Which expression below represents th

LekaFEV [45]

4w +8. C.

It’s 4 * width for perimeter and two of the sides are longer by 4in so 2*4=8

7 0

2 years ago

When two distinct circles lie in the same plane, what is the largest number of points at which they can intersect?

Rama09 [41]

All the points if they lay on top of eachother

if they arent on top of eachother, they can intersect at 2 points

6 0

2 years ago

Answer must be in fraction form. thanks

tatuchka [14]

23 and 1/4 or 93/4 explanation: 2.5 x 3 for 1 mile u get 7.5 then multiply by 3.1

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2 years ago

1. 21x – 3y = 18<br> Encontrar los interceptó a de x y en y

Hunter-Best [27]

X intercepts = (6/7, 0)
y intercept = (0,-6)

7 0

2 years ago