Answer:
75
Step-by-step explanation:
If the third of 6 consecutive numbers is 12, what is their sum?
6 numbers = c-2, c-1, c, c+1, c+2, and c+3
The numbers become 10, 11, 12, 13, 14, and 15
Add that together and you get 75.
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.
Also, in a triangle, the sum of the measures of the interior angles is 180.
We can now calculate the measures of the three angles by writing and solving an equation.
m<A + m<B + m<C = 180
9x - 7 + 7x - 9 + 28 - 2x = 180
Collect like terms on the left side.
9x + 7x - 2x - 7 - 9 + 28 = 180
14x + 12 = 180
Subtract 12 from both sides.
14x = 168
x = 12
Now that we know x, we can find the measure of each angle.
m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4
(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)
Now that we know the angle measures, the opposite sides are in the same order of size.
AB < AC < BC
The sides are, in increasing order of length:
AB, AC, BC
You would need to substitute a number for y. I would probably put 0 for y which would then give you x.
y = 0
x = 1
Then you can easily graph the point. :)
In order to figure this out you need to use slope intercept for for each of these hills. Let's say the first hill is HA and the second hill is B
slope intercept: y = mx + b
HA: y = (2/10)x
HB: y = (2/15)x
As you can see when you plot this on a graph, HB is steeper because the line rises more sharply.
