In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN.
The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
LN + LM = MN
We are given with the lengths of the smalller segments and substituting the known values,
MN = 54 + 31
MN = 85
<em>ANSWER: MN = 85</em>
Answer:
14
Step-by-step explanation:
Take the square root of 11650+14:
%:11650+14
108
So it’s a perfect square (108^2=11664).
There was 3000 general admission tickets sold and 500 kid ticket sold.
How did I get this?
First, we need to see what information we have.
$2.50 = General admission tickets = (G)
$0.50 = kids tickets = (K)
There were 6x as many general admission tickets sold as kids. G = 6K
We need two equations:
G = 6K
$2.50G + $.50K = $7750
Since, G = 6K we can substitute that into the 2nd equation.
2.50(6K) + .50K = 7750
Distribute 2.50 into the parenthesis
15K + .50K = 7750
combine like terms
15.50K = 7750
Divide both sides by 15.50, the left side will cancel out.
K = 7750/15.50
K = 500 tickets
So, 500 kid tickets were sold.
Plug K into our first equation (G = 6k)
G = 6*500
G = 3000 tickets
So, 3000 general admission tickets were sold,
Let's check this:
$2.50(3000 tickets) = $7500 (cost of general admission tickets)
$.50(500 tickets) = $250 (cost of general admission tickets)
$7500 + $250 = $7750 (total cost of tickets)
32/16=2
so scale factor is 2? i don't know what the dimensions are
Answer:
Step-by-step explanation:
Slope of line A = 
= 
= 3
Slope of line B = 
= 
Slope of line C = 
= 
5). Slope of the hypotenuse of the right triangle = 
= 
= 
Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.
6). Slope of the hypotenuse = 
= 3
Therefore, this triangle may lie on the line A.
7). Slope of hypotenuse = 
= 
Given triangle may lie on the line C.
8). Slope of hypotenuse = 
= 
Given triangle may lie on the line B.
9). Slope of hypotenuse = 
= 
Given triangle may lie on the line B.
10). Slope of hypotenuse = 
= 3
Given triangle may lie on the line A.