Answer: in how many days?
Step-by-step explanation:
The ASA postulate.
You can tell that in goes in that order with line XZ and AC where there is an angle, a side, and then another angle
Answer:
Vertical compression
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Answer:
No
Step-by-step explanation:
For x and y to have a proportional relationship, then
the ratio of k =
must be equal for all points
(2, 5) → k =
= 2.5
(3, 7.5) → k =
= 2.5
(5, 12.5) → k =
= 2.5
(18, 8) → k =
= 2.25 ≠ 2.5
k is not equal for all values , hence no proportional relationship exists
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.
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<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.