jaleahbaxley jaleahbaxley
  • 11-12-2020
  • Mathematics
contestada

If ABCD is a rectangle, BD = 2x + 5 and AC = 7x - 40. Find the value of BE.

Respuesta :

Hrishii
Hrishii Hrishii
  • 11-12-2020

Answer:

AC = 23

BD = 23

Step-by-step explanation:

ABCD is a rectangle,

AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

7x - 40 = 2x + 5

7x - 2x = 5 + 40

5x = 45

x = 45/5

x = 9

BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23

AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23

Answer Link

Otras preguntas

Why is depression so common in teens? from an evolutionary standpoint wouldn't it have been evolved out? especially when it so often leads to suicide or self ha
What is the midpoint of 0.7 0.8?
The blood illness that is caused by low iron is called: leukemia anemia diabetes tuberculosis
Who wrote the history of the kings of britain? the author is unknown layamon venerable bede geoffrey
Which is one clue that "Close Encounters of the Bear Kind" is a work of nonfiction?   A. The article cites a particular study done in Alaska.   B. The ar
How did other European nations respond to German imperialism and militarism before World War I? They ignored Germany's militarism and imperialism in an effort
How many moles of hydrogen gas would be needed to react with excess carbon dioxide to produce 19.1 moles of water vapor?
(x-2)-(3x+5) simplify
Sarah's age is five less than twice her sister's age. Sarah is fifteen years old. Which equation could you use to solve for the age of Sarah's sister? 2x - 5 =
What is the quotient of 9.83 divided by 89.56