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

For a craft project, Jackie cuts the two triangles described below out of fabric. Find the length of CE¯¯¯¯¯¯¯¯. In triangle CDE, CD¯¯¯¯¯¯¯¯=7 cm, CE¯¯¯¯¯¯¯¯=(
The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the
Explain what beak will thrive the most in survival and reproduction. Why?
Find the area of this parallelogram. 9 cm 12 cm 1 21 cm
Spell red. Please i need help.
Masses of thread-like filaments that comprise the body of a fungus are called:
help please! One question! xoxo
What word in stanza 3 is a symbol and what does it represent? Indian Boy Love Song (#2) I never spoke the language of the old woman visiting my mother in winter
Match each term with its description. ​
please solve this equation and show work tysmmmm5(p+6)=8p