If there must be LESS than 12 people in the tour group, then it would automatically take out the n>12 because n>12 represents n being MORE than 12, so your answer would be n<12. I hope you aren't totally confused, and good luck on the test!!! I am working on my math skills and I just did this quiz, so the answer is in fact, <. Make me brainliest please, would truly help.
Answer:
The lines are parallel
Step-by-step explanation:
x - y = 2
Solving for y
-y = -x+2
y = x -2
And the other equation is
y = x+1
These are both in slope intercept form
We notice that the slopes are both 1, but the y intercepts are different
That means the lines are parallel, but have different y intercepts
V/LW=H , you have to isolate the h so you must divide both sides by LW
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
