Geometry
1 answer:
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 =
Hope this helps!! :)
Please let me know if you have any questions
You might be interested in
Answer:
The coordinates of Point D are: (-5,-8)
Step-by-step explanation:
The formula for mid-point is given by:
For the point (x1,y1) and (x2,y2)
Given that
M = (-3, -6)
C = (-1, -4) => (x1,y1)
Putting the values of given points in the formula for mid-point
Putting respective coordinates equal
Hence,
The coordinates of Point D are: (-5,-8)