A company invests $12,000 to produce a product that will sell for $49.60. Each unit costs $7:45 to produce. (a) How many units m
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Answer:
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles <em>inside</em> a triangle add up to 180°.
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Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°
Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)
Ask in the comments below if you are not sure about something.
I hope that helps you! :D
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.
