If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.
Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.
We know that speed is the distance covered by an object in a particular period of time.
Speed=distance/time.
It is expressed as kilometers per hour or miles per hour, etc.
If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.
Distance=45 miles.
Time =distance/speed
=45/30
=1.5
Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.
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Answer:

Step-by-step explanation:
In the question, we're given
. Therefore, the measure of these two angles must be equal.
To find the value of
, set these two angles equal to each other:

Add 26 and subtract
from both sides:

Divide both sides by 3:

Since
was labelled as
, substitute
to find its measure:

You can also substitute
into the label of angle D as angle A is congruent to angle D for easier calculations (
).
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = -
, hence
y = -
x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = -
x - 3 ← is the equation of the line
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Answer:
102 students
Step-by-step explanation:
Note that 65% and 71% are both 1 standard deviation from the mean (71%). According to the empirical rule, 68% of scores lie within 1 std. dev. of the mean.
68% of 150 students would be 0.68(150 students) = 102 students