Answer:
2: 99° 3: 81° 4: 81°
Step-by-step explanation:
2 is supplementary to 1 so subtract 81 from 180 = 99.
3 is vertical angle with 1 so they are equal
4 is alternate interior angle with 3 so they are equal
hope this helps stay safe :)
Answer:
x = 113
Step-by-step explanation:
Vertical angles are congruent. To the left of 113 would be 67 but x is not.
A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
To determine or predict the expected number of sales after 2 years, we substitute 2 to the t of the givne equation.
N = (8800)xln(7(2) + 9)
N = 27,592.34
Thus, it is expected that the number of sales after 2 years is 27,592 units.