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

As a woman carries her suitcase up a flight of stairs, she does work against gravity. If the mass of her suitcase is 25 kg and the flight of stairs is 15 m tall
At about what age does the brain begin "pruning"? a. 1 b. 5 c. 10 d. 70
How many solutions does 3x+6 = -1 - 3 + 4x have ? a. 2 b. 0 c. 1 d. Infinitely many
what is 9.1 divided by 3576 and than the answer rounded to the nearest whole number?
What is the value of z in the equation 2z + 7 = -5? a. -6 b. -1 c. 1 d. 6
The following list shows the items and prices for a restaurant order. Calculate the total amount if there is a 7% tax and the customer leaves a 20% gratuity. 1
kara used the formula P=2(L+W) to find the perimeter of a photograph. She tells Jim that the length is 6 centimeters and the perimeter is 22 centimeters. How ca
Please Help The solution set for -2x^2 + 12x = 0 is a. (0,12) b. (0,-12) c. (0,6) d. (0,-6)
Simplify the product using the distributive property (3h- 5) (5h+4)
a culture started with 2000 bacteria. after 8 hours , it grew to 2400 bacteria. predict how many bacteria will be present after 19 hours.