jakepaulteam2020 jakepaulteam2020

20-03-2018
Mathematics

contestada

Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x , AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and DF = x - 2 . What is the value of x?

Respuesta :

MsEHolt MsEHolt

30-03-2018

x=8.

Following the similarity statement, we know that AC is to DF as BC is to EF. The ratio would be:

24/(x-2) = 20/5

Cross multiply:
24*5 = 20(x-2)

Use the distributive property:
120 = 20x - 40

Add 40 to both sides:
120+40 = 20x - 40 + 40
160 = 20x

Divide both sides by 20:
160/20 = 20x/20
8 = x

Answer Link

Otras preguntas

Why did Theodore Roosevelt want William Taft to succeed him as president?

The account allowance for doubtful accounts is classified as a(n

Organisms that are free swimmers are called

The approval of _____ of the states was needed to ratify the Constitution.

Multiply and Reduce 3x^2(3x-6/x)

Ray’s Lawn and Garden bought 300 lawnmowers for $75.00 each to stock the store for spring. If the 300 lawnmowers are sold for $104.95 each, what is the profit?

The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Write an equation to

Mercury has an atomic number of 80 and a mass number of 200. How many neutrons are in one atom of mercury?

A mutual fund in which shares are issued only when the fund is organized is called a(n) __________ fund.

The early russians became quite proficient at working with ______.