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sergey [27]
3 years ago
13

If ZY=3XY then ZX =4XY

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Given

ZY=3XY

Prove that

ZX =4XY

To proof

As given

ZY=3XY

as shown in the diagram given in the question

we get

XZ = XY +  YZ

As given in the question

ZY=3XY

put this in the above equation

we get

XZ = XY + 3XY

XZ = 4XY

Hence proved

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Help with this please
Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}

KL=\frac{1-4}{3-1}=\frac{-3}{2}

LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}

JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

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Yes, the given parallelogram is a rectangle.

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