Answer:
Angle E is the included angle between sides DE and EF.
The included angle between sides FE and DF is angle F
Step-by-step explanation:
Given
Required
Complete the blanks
To solve this, I will attach an illustration of
From the attached image of , we can see that"
is between DE and EF
is between FE and DF
The formula in finding the sum or the total measure of the interior
angles of polygon having n sides is:
Sum of interior angles = (n – 2) 180
Where n = number of sides of the polygon
In this problem, you are asked for the sum of the interior
angles of a 17 sided polygon. You have to substitute the number of sides to the
formula:
Sum of interior angles = (17 – 2) 180
Sum of interior angles = (15) 180
Sum of interior angles = 2,700 degrees
Answer:monthly is 598.90 total is 43120
Step-by-step explanation:
Circumference is found with the formula
c = pi × d
d is diameter and we will use 3.14 for pi.
The diameter is the measure across the center of the circle. In the first problem, you are given the radius, so we have to multiply by 2 to get the diameter. Then we can use the formula.
12.4 in × 2 = 24.8 in (that's the diameter)
c = pi × D
c = 3.14 × 24.8
c = 77.872 inches
circumference is 77.872 inches.
Try the other problems on your own. They are just like this one. Just make sure they are giving you the diameter and not the radius. Post if you have problems.
Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula
. Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have
as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m, and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be
Feel free to ask further questions!
