Two Chords AB and CD, are equidistant from the center of a circle. AB=3x+7 and CD=27-x. Solve for x and find the lengths of AB and CD

  1. 👍 0
  2. 👎 0
  3. 👁 144
  1. If they are equidistant, the clearly they must be equal

    so solve
    3x + 7 = 27-x
    4x = 20
    x = 5
    AB = 3(5)+7 = 22
    CD = 22

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Which one of these is NOT a step used when constructing an inscribed square using technology? A. Create a circle using the center with given points tool. B. Connect the points with a line through the center of the circle. C. Mark

    asked by Amy on January 20, 2015
  2. 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

    asked by Anonymous on December 6, 2015
  3. 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.

    asked by Cathy on December 1, 2012
  4. Maths

    Around a circle i place 64 equally spaced points, so that there are 64x63 divided by2=2016 possible chords between these points. I draw some of these chords, but each chord cannot cut across more than one other chord. What is the

    asked by Please help on December 3, 2016
  1. Math

    There are two chords AB and AC in a circle.[AB]=10cm, [CD]=8cm and the radius of the circle is 12cm.what is the distance of each chord from the centre of the ccircle?

    asked by Anonymous on October 24, 2014
  2. Math HELP

    #1 find the value of x if RS = 4(x-3)+6 and RT = 5(2x-6). x= 12 x= 6 x= 4*** x= 3 #2 which of the following statements are always true? Choose all that apply. If the circumcenter of a triangle lies on the triangle, then the

    asked by Tony on October 16, 2018
  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

    asked by Nikki on April 1, 2008
  4. Maths

    Two parallel chords of lenght 24cm and 10cm which lie on opposite sides of the circle are 17cm apart.calculate the radius of the circle to the nearest whole number.

    asked by Peterson on April 7, 2014

    In circle O, chords AB and CD are congruent. AB measures 2x + y, while CD has a length of 16.5. Two smaller chords, GH and KL, are also congruent. GH measures x + 2y, while KL has a length of 13.5. Find the values of x and y.

    asked by ELIZA on March 9, 2011

    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

    asked by aYaMe ;) on May 15, 2012
  3. 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

    asked by GoldenSparkleGirl on January 25, 2016
  4. math

    Prove that if a triangle is inscribed in a circle,the sides of a triangle are equidistant from the centre of the circle then the triangle is equilateral

    asked by bem on May 21, 2017

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