radhakunda8 radhakunda8
  • 14-04-2021
  • Mathematics
contestada

triangle PQR is similar to triangle XYZ if PQ = n + 2, QR = n - 2 and XY=n^2 - 4, what is the value of YZ, in terms of n?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 19-04-2021

Answer:

(n-2)²

Step-by-step explanation:

If triangle PQR is similar to triangle XYZ, then;

PQ/QR =XY/YZ

Given

PQ = n + 2,

QR = n - 2 and

XY=n^2 - 4,

Substitute

n+2/n-2 = n²-4/YZ

n+2/n-2 = (n+2)(n-2)/YZ

1/n-2 = n-2/YZ

Cross multiply

YZ = (n-2)(n-2)

YZ = (n-2)²

Hence the value of YZ in terms of n is (n-2)²

Answer Link

Otras preguntas

What is hydoxyapatite​
1. Mónica ____. llegó tarde al aeropuerto casi perdió el avión a San José decidió no ir a San José 2. Pilar ____. se preocupa por la salud de Tomás habla con su
Match the descriptions to the processes. Ice cream starts dripping down the sides of an ice cream cone. Fog is created by using dry ice. Frost forms on trees o
Which option best completes the diagram?
Which factor places this nation in the transitioning category?
Ben climbed 15 feet up a hill,8 feet down a hill, and 11 feet up another hill. What is his overall change in elevation?
what is the best way to lose weight quick and easy​
I don’t know how to graph two equations that 2w+2l=228 and l=w+42 and calculate the w and l.
The suns energy comes primarily from
Studying the effect of one thing on another in order to test a hypothesis is a(n) ____.