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nlexa [21]
3 years ago
11

HELP ASAP!!!!!!!!!!!!!!!!!!What is the distance between the points (–3, 4) and (–7, 4)?

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0
By the Pythagorean Theorem:

c^2=a^2+b^2

And then some refer to this as the distance formula...

d^2=x^2+y^2

And when you are dealing with two points...

d^2=(dx)^2+(dy)^2

In this case:

d^2=(-7--3)+(4-4)^2

d^2=(-4)^2+0^2

d^2=16

d=4

So the distance between the two point is 4 units.

(We could have just noticed that the y coordinates were the same and said the distance was just -3--7=4 :P, but the way I worked it is how you will almost always have to.)
sasho [114]3 years ago
5 0
<span>HELP ASAP!!!!!!!!!!!!!!!!!!What is the distance between the points (–3, 4) and (–7, 4)? 

A.
0</span>
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<h2>The missing measures of the angles are:</h2>

m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}

<u>Given</u>:

m\angle Z = 138^{\circ}

<em><u>Note the following:</u></em>

  • An equilateral triangle has all its three angles equal to each other. Each angle = 60^{\circ}.
  • This implies that, since \triangle WXY is equilateral, therefore, m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}

  • Base angles of an isosceles triangle are congruent to each other.
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Applying the above stated, let's find the measure of each angle:

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m\angle 1 = 60^{\circ} (an angle in an equilateral triangle equals 60 degrees)

  • Find m\angle 2

m\angle 2 = 60 - m \angle 3

m\angle 2 = 60 -\frac{1}{2}(180 - 138) (Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)

m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}

  • Find m\angle 3 and m\angle 5 (base angles of isosceles triangle WZY)

m\angle 3 =  \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)

m\angle 3 =  \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}

m\angle3 = m\angle 5 (base angles of isosceles triangle are congruent)

Therefore,

m\angle5 = 21^{\circ}

  • Find m\angle 4

m\angle 4 = 60 - m\angle 5

Substitute

m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}

The missing measures of the angles are:

m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}

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brainly.com/question/2944195

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