In a diagram of circle, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x - 4, what is the
value of x?

  1. 👍
  2. 👎
  3. 👁
  1. you have similar triangles, so set up a ratio

    (x-4)/4 = 3/x
    x^2 - 4x = 12
    x^2 - 4x - 12 = 0
    (x-6)(x+2)= 0

    x = 6 or x = -2, but x = -2 makes no sense

    so x = 6

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. solid mensuration

    Two perpendicular chords divide a circle with a radius of 13 cm into 4 parts. If the perpendicular distances of both chords are 5 cm each from the center of the circle, find the area of the smallest part. Please include solution.

  2. math

    Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord. True. Every diameter of a circle is a chord. This is true because every diameter

  3. Math

    Eighteen students in a class play baseball. Seventeen students in the class play basketball. Thirty students in the class plau either or both sports. Select the Venn diagram that shows the number of students who play basketball

  4. geometry

    Let $\overline{PQ}$, $\overline{RS}$, and $\overline{TU}$ be parallel chords of a circle. The distance between chords $\overline{PQ}$ and $\overline{RS}$ is 4, and the distance between chords $\overline{RS}$ and $\overline{TU}$ is

  1. geometry

    Write the conditional statement that the Venn diagram illustrates. The Venn diagram includes a large circle and it says quadrilateral and a small circle in it that says squares. Would this be the answer: If quadrilaterals are a

  2. Math

    In the diagram, AE¯¯¯¯¯¯¯¯ is tangent to the circle at point A, and secant DE¯¯¯¯¯¯¯¯ intersects the circle at points C and D. The lines intersect outside the circle at point E. A circle with no center shown.

  3. Geometry

    The question is to find the measure of arc PQ in Circle A. The point A is the center of the circle, and the chords PR and SQ intersect at the center. Arc PQ is (3y-10), while arc SR is (2y+20). I know there's a theorem that states

  4. math

    When chords intersect in a circle, the vertical angles formed intercept congruent arcs. always sometimes never

  1. important maths ques

    AB and CD are two parallel chords of a circle such that length of AB and CD are 10 cm and 24cm respectively.if the chords are opposite sides of the centre and the distance between them is 17 cm ,find the radius of the circle.

  2. math

    in circle p below the lengths of the parallel chords are 20,16, and 12. Find measure of arc AB..... the chord with a length of 20 is the diameter. the chords with lengths 16 and 12 are below the diameter torwards the bottom of the

  3. maths(cbse)

    Two chords of a circle of lengths 10 cm and 8 cm are at the distances 8.0 cm and 3.5 cm, respectively from the centre? ans:false how? plzz explain clearly

  4. math

    PQ and RS are 2 parallel chords of a circle such that PQ = 8 cm & RS = 6 cm. If the chords are on the opposite sides of the centre and distance between them is 4 cm. find the radius of the circle

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