Answer:
5/12
Step-by-step explanation:
1/4 × 60 = 15
He gave 15 cakes to Helen.
He gave 20 cakes to Sue.
20 + 15 = 35
He gave away a total of 35 cakes.
60 - 35 = 25
He has 25 cakes left.
fraction = 25/60 = 5/12
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.
Answer: C) Alternate interior angles
The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.
Answer:
-1/6
Step-by-step explanation:
First find the slope of the line through the points
m = (y2-y1)/(x2-x1)
= (-4-8)/(1-3)
= -12/-2
=6
Now we need to find the slope of the line that is perpendicular
Perpendicular lines multiply to -1
6 * mp = -1
mp = -1/6
