Geometry 8.6.3 - Equations of Parallel and Perpendicular Lines and Proofs
1 answer:
Option B:
<u>Solution:</u>
<u>Slope of the perpendicular lines:</u>
If two lines are perpendicular then their slopes are negative reciprocals of each other.
<u>Slope of the parallel lines:</u>
If two lines are parallel then they have the same slope.
i.e their slopes are equal.
Given line m and p are parallel.
Slope of the line m =
Using slope of the parallel lines definition,
Slope of the line p = slope of the line m
Slope of the line p =
Option B is the correct aswer.
Hence the slope of the of line p is .
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Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem =
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b =
b =
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.