The answer is the first option
Answer:
Step-by-step explanation:
Let b
Bill's rate of travel = x
Let Julie's rate of travel = 3x
The time each travels is 2.5 hours
Together they travel a distance of 190 miles
d = r*t
Bill's distance covered is r * t = 2.5x
Julie's distance travel is 2.5 * 3x = 7.5x
The total distance = Bill + Julie
2.5x + 7.5x = 190
10x = 190
x = 190/10
x = 19
Bill's distance = 2.5 * 19 = 47.5
Julie's distance = 19 * 7.5 = 142.5
Rate = distance / time
Bill's rate = 47.5 / 2.5 = 19 miles per hour.
Julie's rate = 142.5/2.5 = 57 miles per hour
Is there an easier way?
You should notice that Bill's rate is just x which is 19 miles / hour
You can also notice that Julie is going 3 times as fast or 19*3 = 57
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Answer: Option B
She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.
Must click thanks and mark brainliest
The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°
<h3>Calculation of angle</h3>
The distance of the flagpole from the building = 55ft
The building has the height of = 45ft
The flagpole has the height of = 25ft
The angle can be calculated using the formula;
Tan θ = opposite/adjacent
Where opposite= 45ft
adjacent = 55ft
Tan θ = 45/55 = 0.82
θ = Tan–¹0.82
θ = 39°
Learn more about angles here:
brainly.com/question/25716982
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