Question

Find the length of yz if y is between x and z
xy= 11d, yz= 9d-2, xz= 5d+28

2) isaac draws mn=5cm then he draws a point p between m and n so the p is 1/4 of the distance from m to n

1. The length of yz if y is between x and z is 16.

### What is line segment?

A line segment contains two fixed-length endpoints A and B. This line segment’s length refers to the distance among its endpoints A & B.
The line segment is thus a component or part of the a line with two endpoints. A line segment, unlike a line, has a fixed length.
A line segment’s length can be measured in metric units like millimetres and centimetres, or in customary measures such as feet or inches.
Now, according to the question;
The equation of the line is given as;
xy= 11d, yz= 9d-2, xz= 5d+28
As, point y lies in between x and z.
Thus, the line has a total distance of xz which comprises of xy and yz.
Thus,
xz = xy + yz
substituting the given values in this;
5d + 28 = 11d + 9d – 2
Solving the equation;
5d + 28 = 20d -2
15d = 30
d = 2
Put d =2 in yz equation.
yz  = 9d – 2
yz = 9×2 – 2
yz  = 16.
Therefore, the value of the length of line segment yz is 16.
To know more about the line segment, here
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The correct question is-
Find the length of yz if y is between x and z
xy= 11d, yz= 9d-2, xz= 5d+28