Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

$\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}$

3 0

3 years ago

A store pays $423 for a crystal vase and marks the price up by 46%. What is the amount of the mark-up?

jek_recluse [69]

Answer:

194.58$

Step-by-step explanation:

Have a great day! :)

6 0

2 years ago

Read 2 more answers

I need help please now

Arlecino [84]

Answer:

x=12

Step-by-step explanation:

This is an equilateral triangle. That means all the angles are equal

There are three angles and they add to 180. 180/3 =60. Each angle is equal to 60

4x+12 =60

Subtract 12 from each side

4x+12-12 = 60-12

4x = 48

Divide by 4

4x/4 =48/4

x=12

3 0

3 years ago