Problem 1
Draw a straight line and plot X anywhere on it.
Use your compass to trace out a circle with radius 1.5 cm. The circle intersects the line at two points. Let's make Y one of those points.
Also from point X, draw a circle of radius 2.5
This second circle will intersect another circle of radius 3.5 and this third circle is centered at point Z.
Check out the diagram below to see what I mean.
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Problem 2
Draw a straight line and plot L anywhere on it.
Adjust your compass to 4 cm in width. Draw a circle around point L.
This circle crosses the line at two spots. Focus on one of those spots and call it M.
Draw another circle centered at point M. Keep the radius at 4 cm.
The two circles intersect at two points. Focus on one of the points and call it N.
The last step is to connect L, M and N to form the equilateral triangle.
See the image below.
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Problem 3
I'm not sure how to do this using a compass and straightedge. I used GeoGebra to make the figure below instead. It's a free graphing and geometry program which is very useful. I used the same app to make the drawings for problem 1 and problem 2 earlier.
Answer:
0.48
Step-by-step explanation:
1x3/56 then multiply it by 9
1x3 is 3
3 x 9 = 27
27/56 this fraction cant be reduced so if you count it or put it in a calculator you'll get 0.482143
Answer:
No solution
Option 4 is correct
Step-by-step explanation:
Given: The system of inequality


We need to choose correct option.
Option 1: (-5,2)
Put x=-5 and y=2
Equation 1 Equation 2


TRUE FALSE
Option 2: (2,2)
Put x=2 and y=2
Equation 1 Equation 2


FALSE FALSE
Option 3: (5,2)
Put x=-5 and y=2
Equation 1 Equation 2


FALSE TRUE
Option 1, 2 and 3 are incorrect because both equation must be true for solution.
Hence, Option 4 is correct no solution.
If you buy ' N ' of each item, then you'll pay 3.99N for brushes,
21.79N for cans of paint, and 6.89N for rollers.
The question assures us that you bought the same number of
each item. So your total bill at the hardware store checkout is
3.99N + 21.79N + 6.89N
= N (3.99 + 21.79 + 6.89)
= 32.67 N .