Answer:
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Step-by-step explanation:
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Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and
.
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting
in (i), we get

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
First you have to convert the denominators to the Lowest Common Multiple (unless the denominators are equal, of course).
Example 1/4 + 1/2
The LCM of 2 and 4 = 4 so we can write 1/2 as 1*2/2*2 = 2/4.
Now we can add:-
1/4 + 2/4 = 3/4.
Same thing goes for subtraction.
Example 2:-
5/6 - 1/7 :-
LCM of 6 and 7 = 6*7 = 42 so we have:-
5*7 / 6*7 - 1*6 / 7*6
= 35/42 - 6/42 = 29/42
Answer:
Step-by-step explanation:
We have the statement AB turns clockwise to coincide with BC.
= ABD + DBC
= 33.3° + 30.6°
= 63.9°
Now we have the statement a point E is drawn directly opposite point C. B, E, and C are on the same straight line
EBC is a straight line, so sum of angles =180°
ABE + ABD + DBC = 180°
ABE + 33.3° + 30.6° = 180°
ABE + 63.9° = 180°
ABE = 180 - 63.1
ABE = 116.9° ....