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Arada [10]
3 years ago
8

Find the distance between the points E(3,7) and F(6,5)

Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

<h3>\boxed{ \bold{  \huge{ \boxed{ \sf{ \sqrt{13}  \:  \: units}}}}}</h3>

Step-by-step explanation:

Solution,

E ( 3 , 7 ) ⇒ ( x₁ , y₁ )

F ( 6 , 5 ) ⇒( x₂ , y₂ )

<u>Finding </u><u>the </u><u>distance </u><u>between </u><u>these</u><u> </u><u>points</u><u>:</u>

\boxed{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}

plug the values

⇒\sf{ \sqrt{ {(6 - 3)}^{2} +  {(5 - 7)}^{2}  } }

Calculate the sum or difference

⇒\sf{ \sqrt{ {3}^{2} +  {( - 2)}^{2}  } }

Evaluate the power

⇒\sf{ \sqrt{9 + 4} }

Add the numbers

⇒\sf{ \sqrt{13} } units

Hope I helped !

Best regards!!!

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The angel in the triangle.
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Answer:

Step-by-step explanation:

Subtract 73 from 180 to get 107. Then divide 107 by 2 to get 53.5 degrees. For each angle. Meaning angle B is 53.5 or 54 degrees.

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3 years ago
Which of the following theorems verifies that ABC~WXY?
Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

Step-by-step explanation:

Given two triangle:

\triangle ABC  and \triangle WXY.

The dimensions given in \triangle ABC are:

\angle A = 27^\circ\\\angle B = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ

The dimensions given in \triangle WXY are:

\angle Y = 63^\circ\\\angle X = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ

Now, if we compare the angles of the two triangles:

\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

\triangle ABC \sim \triangle WXY by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0
3 years ago
Help please :) <br>i will give brainliest answer❤
Karo-lina-s [1.5K]
Help With What , Message Me And I Will Answer Anything.

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