Answer:
y = 45 / 2x + 50
Step-by-step explanation:
The best equation for the line of the best fit would be y = 45 / 2x + 50.
The slope would be 45 / 2 and the y-intercept would be ( 0 , 50 ).
I used the points, ( 0 , 50 ) and ( 4 , 140 ) to get the equation, slope, and the y-intercept.
I used those points because they were the most accurate ones that I know for now.
Also, remember the formula is, "y = mx + b."
A relation is a function, if and only if, the x- values do not repeat in a given set.
Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
The triangles are similar by the SSS (side-side-side) similarity theorem because the sides of the two triangles are in proportion (5/15 = 3/9 = 4/12)
Hope this helps =)
Step-by-step explanation:
We have the following statement 
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
The simple statements from the statement given are:
, 
, 
, and 
This is the truth table.
