Geometry

A. Find the values of a and b that would make the quadrilateral a parallelogram.

B. Make sure to show work

Top 6b-3
Left 2a+6
Right 3a-10
Bottom 5a+1

Thank you

  1. 👍
  2. 👎
  3. 👁
  1. In a ||gram, opposite sides are equal, so

    6b-3 = 5a + 1
    5a - 6b = -4
    and
    2a + 6 = 3a-10
    a = 16
    into the first:
    5(16) - 6b = -4
    -6b = -84
    b = 14

    check:
    top = 6b-3 = 81
    left = 2a + 6 = 38
    right = 3a - 10 = 38
    bottom = 5a+1 = 81
    all is good!

    1. 👍
    2. 👎
  2. My parallelogram has top right angle of (12b+8)degrees, bottom right angle of (5b+2) degrees, and a bottom left angle of 2a degrees please help me solve for a and b.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. geometry

    What is the most precise name for quadrilateral ABCD with vertices A(–3, 2), B(–1, 4), C(4, 4), and D(2, 2)? 1. parallelogram 2. rhombus 3. quadrilateral 4. rectangle

  3. 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?

  4. 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)

  1. 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

  2. Math - vector equation of a parallelogram

    The vertices of a parallelogram are the origin and the points A(-1,4), B(3,6), and C(7,2). Write the vector equations of the lines that make up the sides of the parallelogram

  3. 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

  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

    The quadrilateral with these following vertices is a parallelogram. (-4, -3), (2, -3), (4, -6), (-4, -6) True False

  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

    A parallelogram has an area of 8x^2 - 2x -45. The height of the parallelogram is 4x + 9. I know the formula for a parallelogram is A=bh. Please work and explain how I get the length of the base of the parallelogram. Thanks

  4. Math

    show that the quadrilateral with vertices at the following points is a parallelogram and find its area. a = (5,2,0), b = (2,6,1), c = (2,4,7), d = (5,0,6)

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