The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.
28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
There are 6 pencils left over.
1,000 divided by 7 = about 142
So each teacher got 142 pencils
142 x 7 = 994
1,000 - 994 = 6
1 / (1/6) = x / (2/3)...1 drop to 1/6 dash = x drops to 2/3 dash
cross multiply
(1/6)(x) = (1)(2/3)
1/6x = 2/3
x = 2/3 * 6
x = 12/3 = 4 drops <==
Karla uses a traditional, manual method of constructing perpendicular lines, using a straightedge while Daryl uses a latest drawing tools to draw them.
Both the methods are correct, however the amount of effort and time taken will vary for these two different methods.
Since Karla is constructing perpendiculars manually so she has to go through all the methods carefully, from placing the straightedge to marking the arcs and joining them correctly. It will take her a little longer and more effort to get the accurate results.
On the contrary, the drawing tool used by Daryl will be much more efficient as he can construct perpendicular lines just by specifying a point in no time.
Answer:
The side length is multiplied by 6.
Step-by-step explanation:
The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.
If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.
√2304 = 48
The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.
