Answer: 1/6
Step-by-step explanation: To find the probability of rolling a six,
let's use our ratio for the probability of an event.
<em>number of favorable outcomes / total number of outcomes</em>
Since only one side of a die has a six on on it, the number of favorable
outcomes for rolling a six is 1 and since there are six sides to a die and it's
equally likely that the die will landy on any of these sides, the total number
of outcomes is 6.
So the probability of rolling a six is 1/6.
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<u><em>Answer:</em></u>y = 5x - 7
<u><em>Explanation:</em></u><u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>The slope of the line can be calculated using the following formula:
m = </span>

<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>

<span> = 5
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>y = 5x - 7
Hope this helps :)</span>
Answer:
There isn't a way to prove that the triangles are similar.
Explanation:
Two triangles are similar if they have the same interior angles and the corresponding sides are proportional.
So, to prove that the triangles are similar we can use:
SSS: The three corresponding sides are proportional
SAS: Two sides are proportional and the angle between them is equal
AA: Two angles have the same measure.
In this case, the yellow angles are equal because they are vertically opposite. They are formed by two lines that intersect.
On the other hand, the side with length 3.6 is corresponding with the side with length 9 but the side with length 4.8 is not corresponding with the side with length 12.
Then, there isn't a way to prove that the triangles are similar.
Answer is A because when you work it out the area is 110.500 and rounding it makes it -
I took the test, it is <span>c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment.</span>