Answer:
62°
Step-by-step explanation:
Since one arm making angle x is diameter. So, by inscribed angle theorem, we have:

the price of an apple is how many pounds of apples time 2
Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.
Paul [167]
Answer:
BC = 3 units
Step-by-step explanation:
Given points:
- A = (2, -2)
- B = (-4, -4)
- C = (-4, -1)
- D = (-2, 3)
- E = (1, 3)
- F = (2, 5)
<u>Plot the points</u> on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).
From visual inspection of the <u>drawn polygon</u>, we can see that the length of BC is 3 units.
It is fairly simple to calculate the length of BC without plotting the points.
As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.
⇒ distance = |-4 - (-1)| = |-3| = 3 units
Answer:
- train: 40 kph
- plane: 140 kph
Step-by-step explanation:
Let t represent the speed of the train in km/h. Then 4t-20 is the speed of the plane. Travel times are the same, so we can use the formula ...
time = distance/speed
and equate the travel times.
110/t = 385/(4t-20)
Cross multiplying gives ...
110(4t -20) = 385t
440t -2200 = 385t . . . . . eliminate parentheses
55t -2200 = 0 . . . . . . . . . subtract 385t
t -40 = 0 . . . . . . . . . divide by 55
t = 40 . . . . . . . . . . . add 40; train's speed is 40 kph
4t -20 = 140 . . . . . . find plane's speed; 140 kph
The train's speed is 40 km/h; the plane's speed is 140 km/h.
_____
<em>Check</em>
Train's travel time = 110 km/(40 km/h) = 2.75 h.
Plane's travel time = 385 km/(140 km/h) = 2.75 h.
The screenshot below will give you the answer and the explanation
Hope I helped :)