Answer:
m1= 82
m2=98
m3=82
Step-by-step explanation:
Angle m4 is supplementary with angle m1 so their values add up to 180
180-98=82
Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.
Angle m3 is opposite of m4 so it is the same value. It is supplementary to m1 and m3, so it must be 98 through that logic as well.
At 3.30 pm he started reading where he left off.
At 5.30 pm he is at page 160
At 8.00 pm he is at page 280
Between 5.30 pm and 8.00 pm he has covered = 280 - 160 = 120 pages
That is in between (8.00 - 5.30) = 2 hours 30 minutes = 2 and 1/2 hours
= 2.5 hours
Therefore he covered 120 pages in 2.5 hours, this would be used to set up the linear function.
Between 3.30 pm and 5.30 pm is (5.30 - 3.30) = 2 hours
We need to find how many pages can be covered in 2 hours.
In 2.5 hours 120 pages were covered.
In 1 hour = 120 / 2.5 = 48 pages.
In 2 hours = 48 * 2 = 96 pages.
If he went at the same rate, that means at 2 hours before 5.30 which is the 3.30, he would have covered 96 pages
Page number = 160 - 96 = 64, Since he was at 160 at 5.30
So he started at page 64 at 3:30 pm
Actual selling price: $7.35
Markdown: $2.65
10-2.65= 7.35