Figure B is 6 (2 ft • 2ft • 2ft)
Figure A is 120 (4ft • 10ft • 3ft)
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
How to Draw Parallel Lines:
1. Draw a straight line any length
2. Draw another straight line any length
(note : ensure the lines will never intersect)
They shall never horizontally or vertically.
How to Draw Perpendicular Lines:
1. Draw a straight line vertically
2. Draw a straight line horizontally
(note : length does not necessarily matter)
The two lines must cross at right angles to each other!!
With the parallel line instructions, simply just draw lines but, when given the slopes of two lines, you must get graphing paper or make your own, and graph it by plotting points and then getting a ruler and tracing it.
With the perpendicular lines it helps with showing a relation between situations along with given slopes. They shall intersect always and meet at a 90° angle. Use the equations and plot them then take a ruler and trace them and notice the intersection. Solve it yourself and see that the intersection and the answers you got are the same.
You would have to do it two times, one being negative and one being positive.
4x + 1 < 5
-1 -1
4x < 4
x < 1
4x - 1 < 5
+1 +1
4x < 6
x < 1.5
So the answer would be x<1 and x<1.5
I hope this helps!
