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

What is 2/9÷5/18 expressed as a fraction in its lowest terms?
what is food service and procedure?
the school cafeteria offered a choice of pizza or nachos to sixth grade students. One hundred and five students chose pizza. This represents 35% of the sixth gr
how did the outcome of world war 1 most directly contribute to the onset of the great depression
Larry had 9 grams of pepper. Then he used 0.9 grams of the pepper to make some scrambled eggs. How much pepper does Larry have left? ​ grams
Indicators, recorders, and alarms all display the current values of process variables.a) Trueb) False
why are 3 neon bat dragons worth a mega neon bat dragon?
What are Monsoon forests?
what volume will 10g of carbon dioxide occupy at STP
Which two potential lending sources would be the BEST place for you to get a loan? Using trusted sources on the web, select two potential lending sources you th