An automobile manufacturer has three different subcompact cars in the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and six color schemes. How many different selections can a customer make?

Number of different selections a customer can make = 54

Step-by-step explanation:

To solve this question, we simply need to see how many different combinations we can make from the given choices.

Let's first imagine just making two choices. The color of the car is fixed and we need to determine which engine size we want, and then which body style we want. If I select an engine size, i can make 3 choices for the body style. Since I can select 3 engine sizes, the total number of choices in this scenario would be 3 * 3 = 9

Similarly, if we want to find the different possible number of selections a person can make, we simply need to multiply the number of choices he has with each other. This is given below:

Number of selections = Engine Sizes * Body Styles * Color

Number of selections = 3 * 3 * 6

Number of selections = 54

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

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