# Geometry

ABCD is a parallelogram. Find x and y using the following information:
AB = 5x - 2y
DC = 4
BC = 5 - x

1. 👍 0
2. 👎 0
3. 👁 121
1. In a ||gram , opposite sides are equal, so
5x-2y = 4 and 5-x = y

Solve as a pair of equations in two unknowns
(I would use substitution, subbing the second into the first)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Geometry

Given: ABCD is a parallelogram m∠A = 60º ; BK ⊥AD AK = KD; Perimeter of ABCD = 24 Find: BD. So I have this question it has been giving head aches and I am vary tired of doing, can you post the answer and the solution my class

asked by Anonymous on March 30, 2017
2. ### math

Given: ABCD is a parallelogram AM , BN − angle bisectors DM = 4 ft, MN = 3 ft Find: The perimeter of ABCD

asked by annie on May 15, 2017
3. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right

asked by karrie on January 5, 2012
4. ### Geometry

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true? A. Quadrilateral ABCD is a square. B. Quadrilateral ABCD is a rhombus. C. Quadrilateral ABCD is a rectangle. D. Quadrilateral

asked by Lauren on July 5, 2017
5. ### math

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if parallelogram ABCD is proven to be a rectangle?

asked by kelli on January 14, 2019
1. ### Geometry

ABCD is a parallelogram. If AB = 2x - y, CD = 7, BC = x + y , AD = 2 find x and y.

asked by Alexis on September 4, 2011
2. ### geometry

parallelogram ABCD has vertices A(8,2),B(6,-4),And C(-5,-4).find the coordinates of D.

asked by ujj on January 29, 2013
3. ### Math

If the area of parallelogram ABCD = 246 mm2 and h = 20.5 mm, what is the length of the base of triangle ABD? A.12 mm** B.24 mm C.123 mm D.There is not enough information given.

asked by Naomi on February 26, 2016
4. ### geometry honors

Can you prove ABCD is a parallelogram based on the given information? Explain. Given: x = 5, y = 4 Prove: ABCD is a parallelogram. The image consists of a quadrilatera ABCD with their sides AB, BC, CD, DA as 3x + 12, 7y - 8, 6x -

asked by jacky on January 8, 2015
5. ### maths --plse help me..

ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT AG = 2GB, E IS A POINT OF CD SUCH THAT CE = 2DE AND AND F IS A POINT OF BC SUCH THAT BF = 2FC. PROVE THAT 1) ar(EGB) = 1/6 ar(ABCD) 2)ar(EFC) = 1/2 ar(EBF) 3) ar(EBG) =

asked by sania on December 12, 2012
6. ### geometry

7. Verify that parallelogram ABCD with vertices A(–5, –1), B(–9, 6), C(–1, 5), and D(3, –2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals.

asked by jasmine on December 8, 2011