Suppose you go shopping for a new futon bed for your room. the model you really like happens to be on sale for $400. it's original price is $700. what percent of the original price will you save if you purchase it?

If you purchase it, you are going to save 0.43 = 43% of the original price

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, we have the following measures:

-The prices

-The percentage that the price represents.

As the value of one measure increases, so do the value of the other. It means that we have a direct rule of three.

The problem states that the model you really like happens to be on sale for $400. It's original price is $700.

You saved $700-$400 = $300.

What percent of the original price will you save if you purchase it?

How much is $300 of $700.

$700 - 1

$300 - x

700x = 300

If you purchase it, you are going to save 0.43 = 43% of the original price

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc