Find the value of x and y for the figure below( its a parallelogram link in description)? http://i50.tinypic.com/j58tc0.jpg So, 7y-2=3x and 4x+1=9y but I dont know how to find x and y.. Thank you.
- print Print
- list Cite
Expert Answers
Luca B.
| Certified Educator
calendarEducator since 2011
write5,348 answers
starTop subjects are Math, Science, and Business
If the given geometric figure is a parallelogram, then the angle `3x = 7y - 2` and `9y = 4x + 1` , since they are alternate interior angles formed by the transversal diagonal and the parallel lines of parallelogram.
You need to solve the following system of equations such that:
`{(3x = 7y - 2),(9y = 4x + 1):}` => `{(3x- 7y =- 2),(-4x + 9y = 1):}` => `{(12x- 28y =- 8),(-12x + 27y = 3):}` `=> -y = -5` => y = 5
`3x = 7*5 - 2 => 3x = 35 - 2 => 3x = 33 => x = 11`
Hence, evaluating x and y, using the property of parallelogram and alternate interior angles, yields `x = 11 ` and `y = 5` .
Related Questions
- How graph inequality x ≥ - 6 on the number line? The link: http://i50.tinypic.com/muzpf5.jpg
- 1 Educator Answer
- How graph inequality x < - 1/4 on the number line? The link: http://i50.tinypic.com/muzpf5.jpg
- 1 Educator Answer
- If (x^2 - y^2) = 10 and (x + y) = 2, find x and y.
- 2 Educator Answers
- Find the domain and range of the following: y = x^2 , y = sqrt(1 – x^2), y = 1/x, y = sqrt(x) , y...
- 2 Educator Answers
- If x^2 + y^2 = 29 and x+ y = 7 Then find x and y.
- 1 Educator Answer