Geometry

posted by .

If m<DBC=10x and m<ACb=4x^2, find m<ACB.
The quadrilateral ABCD is a rectangle.
B ------------- C
| |
| |
| |
| |
A -------------|D
There are diagonal bisectors inside the rectangle but I could not draw them in. The diagonals are DB and CA and the point in the middle is E.

  • Geometry -

    Let E be where the diagonals intersect.
    Since ABCD is a rectangle, the diagonals are the same length, and bisect each other.

    Thus, EB = EC and the triangle BCE is isosceles, making m<DBC = m<ACB

    So,
    10x = 4x^2
    10 = 4x
    x = 5/2 = 2.5

    <DBC = 25°
    <ACB = 25°

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    Quadrilateral RSTU is a rectangle with diagonal RT. If m = 8x + 4 and = 3x – 2, find x.
  2. geometry

    in quadrilateral ABCD AC is a diagonol, m<ACD=2x+4 and m<ACB=5x-11 what proves ABCD a rhombus
  3. math

    In rectangle ABCD, shown here, ACB measures 30° and. CD = 40 mm. What is the area of rectangle ABCD?
  4. Math

    geometry- On the coordinate plane, draw a rectangle ABCD with vertices at A (1,4), B(5,4), C(5,1) and D (1,1). Then graph and describe the new rectangle formed when you subtact 3 from each coordinate of the vertices in rectangle ABCD.
  5. 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)?
  6. college geometry

    A rectangle ABCD has three of its vertices at A(2, 1), B(6, 1), and C(6, 3). Find the fourth vertex D and the area of rectangle ABCD.
  7. Geometry

    If the width of rectangle ABCD is 8 cm and the length of diagonal line AC is 14, find the length of rectangle ABCD. A2 + b2 = c2. 64+ b2 =196. square root of b2 = square root of 132. B =2square of 33. L = ?
  8. Geometry

    Quadrilateral EFGH is a rectangle. If EM equals 5X plus one and HF equals 42 find the value of X Quadrilateral ABCD is a rectangle. Find the value of "x" if m/_DAC=(4x+8)degrees and m/_ CAB=(5x-8) degrees
  9. Geometry

    Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?
  10. Geometry

    1. Find the length of a diagonal of a rectangle ABCD with vertices, A (-3,1), B(-1,3), C(3,-1) and D (1,-3). A) 5.7 B) 6.3 C) 3.2 * D) 4.5

More Similar Questions