Answer:
Ben's rate is 
greater than Kate's rate.
Step-by-step explanation:
1. If it takes Ben 2 days to write reports, then his rate is 
of reports per day.
2. If it takes Kate 3 days to write reports, then her rate is 
of reports per day.
3. Ben's rate is
greater than Kate's rate.
Answer:
angle2=23°
angle7=angle5
angle2=angle6
so,angle8=23°
total angle = 180°
angle7=180°-46°=134°÷2=67°
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
Answer:
y = -9 + 75 = 66
x = 27-(-11) = 27 + 11 = 38
slope = 66/28
