Geometry

In parallelogram DEFG, DH = x + 1, HF = 3y, GH = 3x – 4, and HE = 5y + 1. Find the values of x and y.

The parallelogram has D at the top left E at the top right, G at the bottom left and and F at the bottom right with H in the middle.

Thank You ^0^

  1. 👍
  2. 👎
  3. 👁
  1. Since the diagonals bisect each other,

    x+1 = 3y
    3x-4 = 5y+1

    x - 3y = -1
    3x - 5y = 5

    3x - 9y = -3
    3x - 5y = 5

    4y = 8
    y=2
    x=5

    1. 👍
    2. 👎
  2. THank You :) I appreciate your help! :)

    1. 👍
    2. 👎
  3. x = 5 and y = 2 does not work, I have tried.

    1. 👍
    2. 👎
  4. yes it does work

    1. 👍
    2. 👎
  5. It adds up 5+1=6
    3 x 2=6
    3(5)-4=11
    5(2)+1=11
    So they are correct.

    1. 👍
    2. 👎
  6. How'd he get x=5, though?

    1. 👍
    2. 👎
  7. how did he get 9y

    1. 👍
    2. 👎
  8. Thanks Steve

    1. 👍
    2. 👎
  9. holy it's been a decade and we're still struggling on the same exact questions

    1. 👍
    2. 👎
  10. bruh this is trash, no wonder brainy is better

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    justify the last two steps of the proof. Given: ABCD is a parallelogram. Prove: triangleABC = triangleCDA 1. ABDC is a parallelogram 1. given 2. AB = DC and BC =DC 2. opposite sides of a parallelogram are congruent 3. AC = CA 3. ?

  2. Maths

    PQRS is a parallelogram . M is the point on PS. such that PM =1÷3 QR . Prove that the quadrilateral PNRM is a parallelogram.

  3. geometry

    In the diagram below of isosceles trapezoid DEFG, DE ll GF. DE = 4x − 2, EF = 3x + 2, FG = 5x − 3, and GD = 2x + 5. Find the value of x. the answer is 3 but idk how, please help

  4. Mathematics

    In parallelogram DEFG, DH =x+4, HF =3y, GH =3x-1, and HE =5y+3. Find the values of x and y. How long is DF?

  1. 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.

  2. Geometry

    10. Which of the following quadrilaterals always have diagonals that are congruent. Circle all that apply Parallelograms Rectangles Rhombi Squares Isosceles trapezoids 19. Given square ABCD: if the measure of angle ACB = (1x - 32)

  3. maths

    A parallelogram has two adjacent sides of length 4cm and 6cm reapectively. If the included angle measures 52 degrees, find the area of the parallelogram.

  4. Geometry

    Can the following quadrilateral be proven to be a parallelogram based on the given​ information? No. It is not a parallelogram because the angles of the quadrilateral do not add up to 360 degrees360°. B. No. It is not a

  1. Geometry

    I need the statements and reasons for this: ABCD is a parallelogram and we must prove AB=CD and BC=DA. If a quadrilateral is a parallelogram, then its opposite sides are congruent.

  2. geometry CA

    Graph quadrilateral ABCD. Then determine the most precise name for each quadrilateral. 1. A (0, 5), B (–5, 0), C (0, –5), D (5, 0) (1 point) square kite rectangle 2. A (–4, 4), B (3, 4), C (5, 0), D (–2, 0) (1 point)

  3. Math

    The sides of parallelogram 2x+y,3y-2x,5y-8,4x-3 are given in cm.find x and y and the perimeter of the parallelogram

  4. Geometry

    Write a proof. 1. Prove: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. 2. Prove: If the diagonals of a parallelogram are congruent, then parallelogram is a rectangle.

You can view more similar questions or ask a new question.