Register
What is the value of x? Enter your answer, as a decimal, in numerical value only.
214k views
22 votes
What is the value of x? Enter your answer, as a decimal, in numerical value only.

What is the value of x? Enter your answer, as a decimal, in numerical value only.-example-1
User ReSedano
by
3.4k points

1 Answer

12 votes

Answer:

x = 67.5

Explanation:

If a line is parallel to a side of a triangle and intersects the other 2 sides , it divides those sides proportionally.

AB is parallel to NP and intersects the other 2 sides , then


(MA)/(AN) =
(MB)/(BP) ( substitute values )


(71.5-22)/(22) =
(x)/(97.5-x) , that is


(49.5)/(22) =
(x)/(97.5-x) ( cross- multiply )

49.5(97.5 - x) = 22x ← distribute left side

4826.25 - 49.5x = 22x ( add 49.5x to both sides )

4826.25 = 71.5x ( divide both sides by 71.5 )

67.5 = x

User Rmn
by
3.3k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

3.3m questions

4.2m answers

Other Questions

A study was completed in Florida. In southern Florida, the study involved 3,000 patients; 54% of them experienced flulike symptoms during the same month. The study had a margin of error of 1.8%. What does
The sanchez family goes out for dinner, and the price of the meals is $60. The sales tax on the Meals is 7 percent, and they also want to leave a 15 percent tip. What is the total cost of the meal? Analyze
Simplify: 10 ÷ [(5 + 2) − 5]
A furniture store donated a percent of every sell to charity,The total sells were $8,200 so the store donated $164 What percent of $8200 was donated to charity.
Se quiere construir un muro de 4 m de alto, 12 m de largo y 10 cm de espesor. ¿Cuántos ladrillos de 8 cm de alto, 20 cm de largo y 10 cm de espesor se requieren?
Link Copied!