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2 years ago

I need help with this proof

Mathematics

1 answer:

Maksim231197 [3]2 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.

In these triangles,

∠ABF ≅ ∠EDF - as two right angles;
BF ≅ FE - given;
∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.

By ASA postulate (or HA postulate) these triangles are congruent, so

ΔABF ≅ ΔEDF

Congruent triangles have congruent corresponding parts, so

FA ≅ EF

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3 years ago

Read 2 more answers

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erma4kov [3.2K]

Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.

m = $\frac{y_2 - y_1}{x_2 - x_1}$
m = $\frac{18 - 0}{3 - 0}$
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Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.

y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
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