Answer:
x = 93
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x - 73 + x + 67 = 180
2x - 6 = 180 ( add 6 to both sides )
2x = 186 ( divide both sides by 2 )
x = 93
Answer:
d. All are equally likely.
Step-by-step explanation:
The total number of sequences of tossing a coin five times is 2^5 = 32.
Each of those 32 sequences is equally likely.
Answer: d. All are equally likely.
Answer:
1
Step-by-step explanation:
4+x+4+x+1+x=6(2x)
3x+9=12x
3x-12x=-9
-9x=-9
9x=9
x=9÷9
=1
Answer:
A. y = 2x - 3
Explaination:
It can't be negative because then the slope would be going downward from left to right, this line is going upwards. Also, the steepness of the slope proves it is a slope of 2 because a slope of 1/2 isn't very steep. You can also count 1 unit over and look how much the line changes to find the slope.
When it says 'which has a greater rate of change' it is referring to 'what has a greater slope.' So, let's calculate each thing's slope:
Table:
I'm going to pick the easiest values to work with, so I'll pick the points (0, -2) and (1, -9/5) - I simplified the mixed fraction. So, here we go, the slope formula is:



So, the table's slope is
-1/5.
Graph
We can, again, pick two points. I'll pick the two given: (5, 0) and (0, -3). Let's start off with the same formula:


The graph's slope is
3/5.
Now, we just have to decide which is bigger:
-1/5 or
3/5. So, clearly:
3/5 > -1/5.
The
3/5 slope was the graph, hence it has the greater rate of change (
that's why it's B). If anything doesn't make sense, feel free to DM me or ask!