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. Points A, C, and D lie on the circle. Tangent A E and secant D E are as described in the text. Segment A E equals 12, segment E C equals 8, and segment C D equals x plus 10.

© 2016 StrongMind. Created using GeoGebra.

What is the length of ED¯¯¯¯¯¯¯¯?
21
23
20
18
could somebody help im really stuck on this one

  1. 👍
  2. 👎
  3. 👁
  1. So am I. What is x about?

    1. 👍
    2. 👎
    👤
    Damon
  2. Recall the secant-tangent theorem, and you have
    EA^2 = EC*CD
    12^2 = 8*(x+10)
    and now ED = EC+CD = 8+x+10

    I suspect a typo somewhere in the murk above

    1. 👍
    2. 👎
    👤
    oobleck
  3. 18

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    5. Let f be the function given by f(x) = x3- 7x + 6. a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = -1 c. Find the x coordinate of the point where the tangent line is parallel to the

  2. 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

  3. Math (Secant Lines)

    Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? -Consider the graph f with secant lines passing through p(4,2) and Q(x,f(x)) for x-values 1, 3, and 5. -Find the slope of each secant line -Use the results

  4. Math

    Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The

  1. Geometry

    Prove that the tangents to a circle at the endpoints of a diameter are parallel. State what is given, what is to be proved, and your plan of proof. Then write a two-column proof. Hint draw a DIAGRAM with the points labeled. Can

  2. GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

    segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has

  3. math

    ABCDE is a circle with centre O. The diameter, AC, is extended to the point F so that CF = 16 cm. The line BF is the tangent to the circle at B and FDE is a straight line such that FD = 18 cm and chord DE = 14 cm (D and E are

  4. Math

    The point P = (4, 3) lies on the circle x2 + y2 = 25. Find an equation for the line that is tangent to the circle at P. This line meets the x-axis at a point Q. Find an equation for the other line through Q that is tangent to the

  1. Math

    1. The curve y=10/2x+1 -2 intersects the x-axis at A. The tangent to the curve at A intersects the y-axis at C. (i) Show that the equation of AC is 5y+4x=8 (ii) Find the distance of AC 2. The equation of a curve is

  2. calculus

    let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Find the coordinates of point Q. b. Find the coordinates of point R, the

  3. Geometry

    A secant and a tangent to a circle intersect in a 42 degree angle. The two arcs of the circle intercepted by the secant and tangent have measures in a 7:3 ratio. Find the measure of the third arc. If someone could help me figure

  4. Math

    Study the following diagram, where point C lies in the exterior of circle O. Segment WC is tangent to circle O at point W. CO¯¯¯¯¯¯¯¯, CW¯¯¯¯¯¯¯¯¯, and OW¯¯¯¯¯¯¯¯¯ are drawn in to create △OWC. If WC=15

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