anabelle99orkf3o anabelle99orkf3o
  • 02-02-2018
  • Mathematics
contestada

Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x.

A.
7
B.
14
C.
27
D.
28

Respuesta :

ahmedishaal ahmedishaal
  • 02-02-2018
In parallelogram ABCD, opposite sides are congruent, it means 
AB = CD
BC = AD
So, 3y – 6 = 2y + 4 ........1
and 
5x – 8 = 4x –1...........2
now we can find the value of x and y from expression 1 and 2, 
3y – 6 = 2y + 4
3y-2y = 4+6
y = 10
5x – 8 = 4x –1
5x-4x = -1+8
x = 7
Thus, the value of x is 7, option A is the correct.

Answer Link

Otras preguntas

The length of a diagonal of a cube with edge length 25cm
After what happened on April 19 can war between the colonies and Great Britain be avoided?
If 8 men can chop down 28 trees in one day, how many trees can 20 men chop down in one day?
If 8 men can chop down 28 trees in one day, how many trees can 20 men chop down in one day?
Natalie earns $2.50 for each cd she sells and $3.50 for each dvd she sells.  Natalie sold 45 dvds last year.  She earned a total of $780 last year selling cds a
An airplane travels 3,260 kilometers in 4 hours. What is the airplane’s average speed?
Dominick lives 1 3/4 miles from his school.  If his mother drives him half the way, how far will Dominick have to walk to get to school?
If a slope of a line is 2/0 is it 0 or undefined?
Explain how a species can evolve through natural selection.
Which of the kingdoms has the smallest number of known species