Question

Points R, Y, and Z are collinear with Y in between R and Z. Use the following information to solve for YZ. RY = 2x + 9 YZ = 4x + 1 RZ = 3x + 16 If X = ? YZ = ? YZ = 2, YZ = 3, YZ = 5, YZ = 9

Answer 1

To solve for YZ, set the given equations for RY, YZ, and RZ equal to each other and solve for x. Substituting the value of x into the equation for YZ gives the value of YZ.

Step-by-step explanation:

To solve for YZ, we need to find the value of x first. We can do this by setting the given equations for RY, YZ, and RZ equal to each other and solving for x:

RY = 2x + 9 = 4x + 1 = RZ

Simplifying these equations gives us:

2x + 9 = 4x + 1

Subtracting 2x from both sides:

9 = 2x + 1

Subtracting 1 from both sides:

8 = 2x

Dividing by 2:

x = 4

Now that we know x is 4, we can substitute it into the equation for YZ:

YZ = 4x + 1 = 4(4) + 1 = 17

Therefore, YZ = 17.