Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
After 2 hours, she was (62 mph -50 mph)*2h = 24 miles behind her trip average, so she had to make that distance up in the last 3 hours. That is, her average for the last 3 hours was (24 mi)/(3h) = 8 mph more than her trip average.
Jiamin averaged 62+8 = 70 mph for the last 3 hours of her trip.
Answer:
2:15 pm
Step-by-step explanation:
The time that Theo finishes is the sum of the start time and the duration of the cleaning. The duration is the sum of the cleaning times for each of the rooms and the break time.
__
<h3>sum of minutes</h3>
It is convenient to convert all of the times to minutes, then convert the total back to hours and minutes.
kitchen +lounge +bedroom +bathroom +breaks
= (60 +50) +(55) +(1/2×60) +(35) +(85)
= 110 +55 +30 +35 +85
= 315 . . . . minutes
<h3>minutes and hours</h3>
There are 60 minutes in an hour, so the sum is ...
(315/60) hours = 5 15/60 hours = 5:15 . . . . written as hours : minutes
Then the time Theo finishes is ...
9:00 +5:15 = 14:15 = 2:15 pm
Theo will finish cleaning at 2:15 pm.
_____
<em>Additional comment</em>
On a 24-hour clock, hours after noon are numbered 13, 14, 15, ... to 23 at 11 pm. The 12-hour representation of the pm hours can be found by subtracting 12 from the hour number.
Answer
Area of sail A is 1/4 of area of sail B