Laila111123 Laila111123
  • 21-02-2021
  • Mathematics
contestada

ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).

Respuesta :

devishri1977
devishri1977 devishri1977
  • 21-02-2021

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from  both sides

5x  = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

     = 5*8  +1

     = 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

Answer Link

Otras preguntas

5 more than 3 times a number w
Daniela loves the cookies at her favorite restaurant, but she knows they are filled with unhealthy ingredients. Which of the following statements shows how Dani
The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?
list 3 ways FL economy has changed over time
why did osama bin laden declared war on the united states?
what is radical 3 times radical 3
Choose the equation of the line passing through the point (-1, 7) and perpendicular to y = -x - 5. y = -4x - 11 y = -4x - 3 y = 4x 11 y = 4x 3
what is 21/48 simplified
y=4x 8x , solve for x
1.9 as a mixed number in simplest form