MP is the angle bisector of LMN. Given that LMP is a right angle.
1 answer:
Angle bisector divides an angle into equal halves.
- <em>Angle LMN is a straight line</em>
- <em>The measure of LMN is 180 degrees</em>
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From the question, we understand that:
MP bisects LMN
This means that:
LMN = 2 x LMP
Also, we have:
LMP = 90 ------ because LMP is a right angle
So, we have:
LMP = 2 x 90
LMP = 180
An angle that measures 180 degrees is a straight line.
Hence, the measure of LMN is 180 degrees, and it is a straight line
Read more about angle bisectors at:
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Answer:
Claire traveled for 9 days.
Step-by-step explanation:
Given:
Total Distance traveled = 701 miles
Distance traveled each day = 80 miles
Distance traveled on last day = 61 miles
We need to find the number of days Claire traveled.
Solution:
Let the number of days Claire traveled be denoted by 'd'.
Now we can say that;
Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.
framing in equation form we get;
Now Subtracting both side by 61 using Subtraction Property of Equality we get;
Now Dividing both side by 80 we get;
Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total <u>9 days</u> of travel.