3 years ago

What is the equation of the following graph in vertex form?

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:

I think the answer is 0,8

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?

Yuri [45]

Answer:

Option D. AC= 10 cm and CE= 5 cm

Step-by-step explanation:

From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.

From these similar triangles we know

$\frac{AB}{AD}=\frac{BC}{DE}=\frac{AC}{AE}$

$\frac{8}{12}=\frac{BC}{9}=\frac{AC}{AE}$

Therefore $\frac{AC}{AE}=\frac{8}{12}=\frac{2}{3}$

Or AC= $\frac{2}{3}AE$

Now from pythagoras theorem

AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm

Since we know side AC = $\frac{2}{3}AE$

= $\frac{2}{3}\times 15$

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Natalija [7]

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what's the angle

Step-by-step explanation:

it's not induded

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