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

Please I have the answers I just want to double check them and Solvekey: B=42  A=93  N=29  X=361. (b-7)(2b-7)2. (4a-4)(5a-7)3. (5n-6)(4n+7)4. (2n=8)(8n+3)5. (6x
which explorer sailed for france?
Which period was the “golden age of dinosaurs”? a. the Triassic Period b. the Jurassic Period c. the Cretaceous Period d. the Tyrannosaurus Period
How many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon?
Why were people from Africa brought to Georgia?
Differences between DNA and RNA include which of the following? (1) RNA consists of one nucleotide chain. (2) RNA contains the nitrogen base uracil instead of t
If ab = 10 and a2 + b2 = 30, what is the value of (a + b)^2?
What is 0.05 percent of 6.5?
If ab = 10 and a2 + b2 = 30, what is the value of (a + b)^2?
USE A NUMBER LINE TO FIND 8/9 / 8/45.