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3 years ago

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ

1 answer:

3 0

Angle PQM = Angle XYN
Angle PQR = Angle XYZ - 1
Triangle PQR Triangle XYZ
PQ. =. XY. (Given)
Angle PQR. =. Angle XYZ. (From 1)
QR. =. YZ. (Given)
SAS Congruence rule
Triangle PQR = Triangle XYZ

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Step-by-step explanation:

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3 years ago

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The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the

Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

$\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.$

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3 years ago

A plane takes off and flies at an angle of 11° with the ground. When it reaches an elevation of 500 ft, what is the distance flo

drek231 [11]

Answer:

It had flown 2620 ft along the diagonal.

Step-by-step explanation:

When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:

sin(11°) = 500/x

x*sin(11) = 500

x = 500/[sin(11)] = 2620 ft

It had flown 2620 ft along the diagonal.

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3 years ago

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ​

in triangle pqr and triangle xyz, PQ=XY. QR=YZ, ext angle PQM=ext angle XYN. Prove that triangle PQR congruent to triangle XYZ