Can someone please help me with this geometry proof? It needs to get done ASAP and I'm really struggling.

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

One way to prove that the triangles are congruent is to show that the three pairs of sides have the same length.

For side $BD$ , this is easy, since it is shared by the two triangles, so it is obviously equal.

On the other hand, we know that the given figure is a parallelogram, the opposite sides are equal in length. Particularly, it means that:

$AB = CD \quad\textrm{and}\quad BC = AD.$

Thus, we have shown that each pair of sides have the same length, which means that:

$\triangle ABD \equiv \triangle CDB.$

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Find the slopes of the asymptotes of the hyperbola with the following equation.

frosja888 [35]

You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36

36 = 9x² + 4y²
(1/36)[36 = 9x² + 4y²]
1 = x²/4 + y²/9
a² = 4
a = 2
and
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To find the slope, divide a/b and you will get 2/3.

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3 years ago

What is the length of EF in the right triangle below?

Tema [17]

Answer:

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find EF

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EF² + 12² = 18², that is

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EF² = 180 ( take the square root of both sides )