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

Each of the following lines contains a poetic form. Find this form and type it into the answer box. Be sure to type it exactly as it is written in the line. 1.
Math sequences number patterns
YOU CAN CHOOSE MORE THAN ONE Study the following list of words. Check all the words which could be categorized as NOISY words. Use your dictionary or thesaurus
A number p is increased by 20%, then decrease by 10%. If the final value is 1 620, findthe original value of p.​
(-2/7) (5/-8) please solve.
simplify (x+4)^2 how is this simplified
who was falcon bridge​
ODO101518G2223242622293031371) Is the dog above a male or female?Male2) What is the diploid number of dog chromosomes?3) What is the haploid dog chromosome numb
It takes 2 1/4 kilometers of thread to make 3 1/2 boxes of shirts. How many kilometers of thread would it take to make 8 boxes?
What is the value of -6x3-y2-3xy if x=-2 and y=4