Answer:
30, 150, 120, and 60 degrees
Step-by-step explanation:
Since the sum of the interior angles in a quadrilateral is 360 degrees:
y+5y+4y+2y=360
12y=360
y=30
2y=60, 4y=120, 5y=150
Hope this helps!
A midpoint lies right in the middle so this splits the segment into two equal halves.
ST = TU
Let's plug the expressions from the picture into our equation.
8x + 11 = 12x - 1
Add 1 to both sides, and subtract 8x from both sides.
12 = 4x
Divide both sides by 4
3 = x
Multiply both sides usuinf the fraction
Answer:
1/3
Step-by-step explanation:
I think this is 1/3 because it is a ratio of successful outcomes to total number of outcomes..
Ex. Rolling a 6 sided dice.. you roll a 5... it would be 1/6.
Hope that makes sense.
Answer:
(9, -5)
Step-by-step explanation:
The vector AC has coordinates (27, -18), because:
21 - (-6) = 27
-13 - 5 = -18
If the ratio of AB to BC is 5 to 4, it means that
AB = [5/(5+4)]AC = (5/9)AC
Therefore, we have
AB = (5/9)AC = (5/9) (27, -18) = (15, -10)
Which means that:
xB - xA = 15 <=> xB - (-6) = 15 <=> xB + 6 = 15 <=> xB = 9
yB - yA = -10 <=> yB - 5 = -10 <=> yB = -10 + 5 <=> yB = -5
So B has coordinates (9, -5).
