Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
Answer:
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Step-by-step explanation:
S=15
Whatever the number of sides of a polygon,
the sum of its exterior angles is always <span>360∘</span>
Further, each pair of exterior angle and interior angle adds up to <span>180∘</span>
Hence in a polygon with s sides (or angles),
the sum of all the interior and exterior angles would be <span><span>180∘</span>×s</span>
and sum of interior angles would be <span><span>180∘</span>×n−<span>360∘</span>=<span>180∘</span><span>(s−2)</span></span>
As sum of angles is <span>2340∘</span>
Hence, <span>180<span>(s−2)</span>=2340</span> or <span>s−2=<span>2340180</span>=13</span>
and <span>s=13+2=15</span> and polygon is a Pentadecagon.
i hope u understand :)
Here sorry if this doesn't help
Let the average speed at day time be x miles per hour
Therefore at night the average speed = (x + 10) miles per hour
Time = Distance / speed
Time at day - Time at night = 36 minutes.
36 minutes = 36/60 hour = 6/10 hour
Time at day = Distance / speed at day = 120 / x
Time at night = Distance / speed at night = 120 / (x + 10)
120/x - 120/(x + 10) = 6/10
1/x - 1/(x + 10) = 6/10* 1/120
1/x - 1/(x + 10) = 1/200
((x + 10) - x) / ((x)(x+10)) = 1/200
(x + 10 - x) / ((x)*(x+10)) = 1/200
10 / ((x)*(x + 10)) = 1/200
1 / ((x)*(x + 10)) = 1/2000
Therefore x (x + 10) = 2000
x and x +10 are 40 and 50. Because 40*50 = 2000
x = 40
Average speed in the day time = 40 miles per hour
