136k views
0 votes
Math trigonometry!!!!!!!!!!

Math trigonometry!!!!!!!!!!-example-1

1 Answer

3 votes

Answer: 15 (choice B)

=================================================

Step-by-step explanation:

Triangle ABC is similar to triangle DEF.

The order of the letters is very important because the order tells us how the points match up.

  • A pairs with D since they are the 1st letters
  • B pairs with E since they are the 2nd letters
  • C pairs with F since they are the 3rd letters

Those pairings then give these corresponding sides

  • AB pairs with DE (both involve 1st and 2nd letters)
  • BC pairs with EF (both involve 2nd and 3rd letters)
  • AC pairs with DF (both involve 1st and 3rd letters)

We'll focus on the pairs AB & DE, as well as BC & EF. This is because they involve the variable x and also the values from the diagram.

The pair AB & DE forms the ratio AB/DE.

The pair BC & EF forms the ratio BC/EF.

Those ratios are equal when we have similar triangles like this.

----------

From here we have these steps:

AB/DE = BC/EF

x/6 = 10/4

4x = 6*10 ....... cross multiply

4x = 60

x = 60/4

x = 15

Therefore, choice B is the final answer.

User Codingoutloud
by
7.9k points

No related questions found