Answer:
Point C is in the interior of angle ABD.
Step-by-step explanation:
the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).
so,
1.
(9, 7) to (4, -3)
midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)
2.
(-7, -5) to (2, 1)
midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)
3.
now we have the midpoint and need the second point.
(4, 2) over (3, 4) to (x, y)
3 = (4 + x)/2
6 = 4 + x
x = 2
4 = (2 + y)/2
8 = 2 + y
y = 6
4.
(-2, 1) over (-3, 2) to (x, y)
-3 = (-2 + x)/2
-6 = -2 + x
x = -4
2 = (1 + y)/2
4 = 1 + y
y = 3
1/10 because one girl out of ten students wears glasses
Answer:
2
Step-by-step explanation:
First thing you gotta do is find the common denominator.
Do this by listing factors of the denominators:
5- 5, 10, 15, 20, 25, 30
6- 6, 12, 18, 24, 30, 36
5 and 6 both have 30 in common so that's the new denominator for all 3 of the terms.
What you do to the bottom you must do to the top.
Since you multiply 5 by 6 to get 30, you must multiply 2 and 4 by 6 as well.
Since you multiply 6 by 5 to get 30, then multiply 5 by 5 as well.
The new equation is:
+
+ 
=
Now add the numerators together
The solution is 
. Now simplify. 61 is prime, so you cannot change the fraction How many times does 30 go into 61? Two times. This gives us 2.
