Answer:
The ordered pairs that are presented are (7, 99.5) and (3, 51.5)
Step-by-step explanation:
We are given the cost function of the carnival rides as
which is a typical linear expression of the form 
where here 
, 
, 
and 
. To check if an ordered pair i.e. a point 
, is represented by the table we can simply plug in the equivalent 
value in the equation, and check if the result matches the 
value.
So, lets assume that all points are given correctly and they are as follow:
Now let us check each point with our function as follow:
<u>Point A</u>
So point A is part of the equation.
<u>Point B</u>
So point B is NOT part of the equation.
<u>Point C</u>
<u />
<u />
So point C is part of the equation.
<u>Point D</u>
<u />
<u />
So point D is NOT part of the equation.
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Answer:
C
Step-by-step explanation:
You can use the formula y=mx+b
f(x) is the same as y
m=slope
b=y intercept
We know that the slope is -2 so which answer has -2 as b? (Which one has a -2 before the x?)
Y Intercept is where the line crosses though the y axis. The point of the y intercept will ALWAYS have 0 as x. So (0,4) is the y intercept. You could also say 4 is the y intercept. Which one has 4 as b? (Which one says +4 after -2x)
The only answer that matches is C.
I hope thay made sense.
Answer: 5 Vertices
Step-by-step explanation: I believe if it had 4 faces and 8 edges it would have 5 vertices.
15 - 4 1/3 = 10 2/3
10 2/3 * 3/5 = 6 4/10
10 2/3 - 6 4/10 = 4 4/15
