Answer:
<P = 26 degrees
<N = 130 degrees
Step-by-step explanation:
The sum of angle of a triangle is 180, hence
<M + <N + <P = 180
If the Measure of angle N is five times the Measure of angle P, then;
<N = 5<P
<M = 24 degrees
Substotute into the formula
24 + 5<P + <P = 180
24 + 6<P = 180
6<P = 180-24
6<P = 156
<P = 156/6
<P = 26 degrees
Since <N = 5<P
<N = 5(26)
<N = 130 degrees
Hence the measure of <P is 26 degrees and that of <N is 130 degrees
Answer:
yoi look for what you add to the equation to make it a perfect square by dividing 6 by 2 then add 2^2 to both sides.
Answer:
$1,605
Step-by-step explanation:
As, 7% of $1,500 is = $105
So, the investment is = Principcal + Interest.
= $1,500 + $105 = $1,605
1.42·10⁷ tons + 1.07·10⁷ tons = 2.49·10⁷ tons . . . . matches the first choice
_____
The distributive property applies.
1.42·10⁷ tons + 1.07·10⁷ tons = (1.42 + 1.07)·10⁷ tons = 2.49·10⁷ tons
Answer:
Answer : The bicyclist's average rate of speed in miles per hour is 15 mile/hr.
Step-by-step explanation:
Average rate if speed : It is defined as the ratio total distance to total time.
Formula used :
As per question,
Total distance traveled by bicyclist = 4.5 mile + 7.5 mile = 12 mile
Total time taken by bicyclist = (8:48 A.M - 8:00 A.M) = 48 min = 0.8 hr
conversion used : ( 1 hour = 60 minute)
Now put all the given values in the above formula, we get the bicyclist's average rate of speed in miles per hour.
Therefore, the bicyclist's average rate of speed in miles per hour is 15 mile/hr.