Analytic Geometry Challenge |

**Listen up Cyber-Students:**

If you can solve this question efficiently and accurately, you know your stuff.

**Reproduce the diagram** on graph paper, then **solve the questio**n

making sure to **show your work**.

If you run into problems, bring your work to our next session so we can fix them.

Go to it.

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We need to build InterPlum St. in 2 sections

the first // to the other Plum Sts. such that HM = 1.5(ML).

This section runs until it meets Blue St. at J, then changes course to meet ThinRed St. at R

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**Solutions**

Since angle LGO = 45º, the slope of LR must be -1,

since the rise over run for this line is in ratio 1 : 1. (isosceles right triangle).

This means that ** G** is at

So,

a) The equation of LoPlum St (LR) is * y = - x + 20*.

b) The equation of HiPlum St (HS) is * y = - x + 50*.

c) ** L** is at

d) ** M** is at

e) i) The equation of InterPlum St (MJ) is * y = - x + 32*

- ii)

- The equation of JR is

f)

The total length of ** InterPlum St. is 73.43 Km**.

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