Midpoint 5

FM=3x-4, MG=5x-26, FG=? Point M is the midpoint of FG. Use the given information to find the missing measure or value.

Correct result:

m =  58

Solution:

x=∣FG∣ ∣FM∣=∣MG∣   3⋅ x−4=5⋅ x−26  2x=22  x=11  m=2⋅ (3⋅ x−4)=2⋅ (3⋅ 11−4)=58

Try another example


We would be pleased if you find an error in the word problem or inaccuracies and send it to us. Thank you!



Showing 0 comments:
avatar




Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?
Do you want to convert length units?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Find midpoint
    midpoint FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.
  • Midpoint 6
    segment_5 FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
  • MG=7x-15,
    segment_6 MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
  • The midpoint
    lines The midpoint of (2, 5) and (8, y) is (5, -1). Find the line equation in slope-intercept form.
  • Line segment
    lines_7 The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will measure the new line segment?
  • Similar triangles
    triangles_2 The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm
  • Midpoint 4
    segment_3 If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end?
  • Coordinates of midpoint
    linear_eq_4 If the midpoint of the segment is (6,3) and the other end is (8,4) what are the coordinate of the other end?
  • Midpoint of segment
    midpoint-segment Point A has coordinates [-16; 23] and the midpoint of the segment AB is the point [2; 12]. What are the coordinates of point B?
  • Median or middle
    Median2 The number of hours of television watched per day by a sample of 28 people is given below: 4, 1, 5, 5, 2, 5, 4, 4, 2, 3, 6, 8, 3, 5, 2, 0, 3, 5, 9, 4, 5, 2, 1, 3, 4, 7, 2, 9 What is the median value?
  • Line segment
    line-segment.JPG For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y value for the point located 4 over 7 the distance from L to M.
  • A cell tower
    tower A cell tower is located at coordinates (-5, -7) and has a circular range of 12 units. If Mr. XYZ is located at coordinates (4,5), will he be able to get a signal?
  • Find the 5
    distance-between-point-line Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0
  • Find the 3
    segment_2 Find the distance and midpoint between A(1,2) and B(5,5).
  • The string
    string They cut 113 cm from the string and divided the rest in a ratio of 5: 6.5: 8: 9.5. The longest part measured 38 cm. Find the original length of the string.
  • Simplify 2
    expr Simplify expression: 5ab-7+3ba-9
  • Value
    primefactor2 Determine the value of the following exspressions: a) (23-25)·(4-5) b) (97-123):(18+8)