Answer:
you just need to simplify all the answers so 9 and 4 - 6 + 2 + 3 you need to keep like adding all the answers together and whatever one gets you to what it's telling you then that's the answer
Step-by-step explanation:
I'm sorry if this doesn't make sense but I hope it helps
The slope of the green line if the lines are perpendicular is -1/4
<h3>Perpendicular lines</h3>
For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.
Given the following
Slope of red line = 4
According the definition
4m2 = -1
m2 = -1/4
Hence the slope of the green line if the lines are perpendicular is -1/4
Learn more on perpendicular lines here: brainly.com/question/1202004
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If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.
5/6 = x/9, where x is the length for side PN
Transposing the equation so that x is on the left side:
x = (5/6)*9
x = 7.5
( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)
none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:
(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)
(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)
(r^2 +10r +48)/(r+2)
Note that there's a strict order here -> 2 close friends, then 1 non-close friend.
So, picking in order:
probability of picking the first close friend: 4/10
probability of picking the second close friend: 3/9
probability of picking the first non-close friend: 6/8
So, we get 4/10 * 3/9 * 6/8 = 1/10.