In order to find the average you have to add up all the data values and then find the sum of the data values.
So on average he ran about 82.5 miles.
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9
Problem 7: Correct
Problem 8: Correct
Problem 9: Correct
The steps are below if you are curious
===========================================================================================
Problem 7
S = 180*(n-2)
2340 = 180*(n-2)
2340/180 = n-2
13 = n-2
n-2 = 13
n = 13+2
n = 15
I'm using n in place of lowercase s, but the idea is the same. If anything, it is better to use n for the number of sides since S already stands for the sum of the interior angles. I'm not sure why your teacher decided to swap things like that.
===========================================================================================
Problem 8
First find y
y+116 = 180
y+116-116 = 180-116
y = 64
which is then used to find x. The quadrilateral angles add up to 180*(n-2) = 180*(4-2) = 360 degrees
Add up the 4 angles, set the sum equal to 360, solve for x
x+y+125+72 = 360
x+64+125+72 = 360 ... substitution (plug in y = 64)
x+261 = 360
x+261-261 = 360-261
x = 99
===========================================================================================
Problem 9
With any polygon, the sum of the exterior angles is always 360 degrees
The first two exterior angles add to 264. The missing exterior angle is x
x+264 = 360
x+264-264 = 360-264
x = 96
Answer:
C. (x, y) → (x, -y)
Step-by-step explanation:
The algebraic representation that correctly describes a reflection over the x-axis is (x, y) → (x, -y)
Here's an example to show understanding
Plot A is (4,6) and the reflection over the x-axis would be (4,-6)
-2(10)+-3(-6)
It would be -2
