Geometry

posted by .

B is the midpoint of Symbol for segment A C. .
AB=5x+2
AC=12x-2
What is the value of BC? Show your work for credit.
Line segment A C with point B on it.

  • Geometry -

    Did you make a sketch?
    On my diagram
    length(BC) = length(AC) - length(AB)
    = 12x-2 - (5x+2)
    = 7x-4

    but B is the mipoint, so AB = BC
    7x-4 = 5x+2
    2x = 6
    x = 3

    then BC = 7(3)-4 = 17



    check:
    AB = 17
    AC = 12(3)-2 = 34
    BC = 17 , YUP!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    M is the midpoint of segment AB, AM=2x+4 and AB=12x+4. What is the value of MB?
  2. geometry

    B is the midpoint of Symbol for segment AC. AB=3x-6 BC=2x+2 What is the value of AB?
  3. geometry

    M is the midpoint of Symbol for Segment A B.. Find the coordinates of B given A(7,-2) and M(10,10). Show your work for credit
  4. Geometry

    Please write a paragraph proof for this statement. 30: Point Y is the midpoint of segment XZ. Z is the midpoint of segment YW. PRove that segment or line XY is congruent to segment or line ZW.
  5. Geometry

    Please write a paragraph proof for this statement. Point Y is the midpoint of segment XZ. Z is the midpoint of segment YW. PRove that segment or line XY is congruent to segment or line ZW.
  6. geometry

    Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then find the value of x A. 34 B.8 C. 23/5 D. 20 Answer: D 2. Suppose the coordinate of p=2 and PQ=8 and PR=12. Whare are the possible mid point for line segment PQ?
  7. Geometry

    Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then find the value of x A. 34 B.8 C. 23/5 D. 20 Answer: D 2. Suppose the coordinate of p=2 and PQ=8 and PR=12. Whare are the possible mid point for line segment PQ?
  8. Geometry

    Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then find the value of x A. 34 B.8 C. 23/5 D. 20 Answer: D 2. Suppose the coordinate of p=2 and PQ=8 and PR=12. Whare are the possible mid point for line segment PQ?
  9. Geometry

    Line segment AB has a midpoint C Help? If AC=17 and AB = 5x-6, then find the value of x A. 34 B.8 C. 23/5 D. 20 Answer: D 2. Suppose the coordinate of p=2 and PQ=8 and PR=12. Whare are the possible mid point for line segment PQ?
  10. Geometry

    In the figure, square WXYZ has a diagonal of 12 units. Point A is a midpoint of segment WX, segment AB is perpendicular to segment AC and AB = AC. What is the length of segment BC?

More Similar Questions