I'll talk you through it so you can see why it's true, and then
you can set up the 2-column proof on your own:
Look at the two pointy triangles, hanging down like moth-wings
on each side of 'OC'.
-- Their long sides are equal, OA = OB, because both of those lines
are radii of the big circle.
-- Their short sides are equal, OC = OC, because they're both the same line.
-- The angle between their long side and short side ... the two angles up at 'O',
are equal, because OC is the bisector of the whole angle there.
-- So now you have what I think you call 'SAS' ... two sides and the included angle of one triangle equal to two sides and the included angle of another triangle.
(When I was in high school geometry, this was not called 'SAS' ... the alphabet
did not extend as far as 'S' yet, and we had to call this congruence theorem
"broken arrow".)
These triangles are not congruent the way they are now, because one is
the mirror image of the other one. But if you folded the paper along 'OC',
or if you cut one triangle out and turn it over, it would exactly lie on top of
the other one, and they would be congruent.
So their angles at 'A' and at 'B' are also equal ... those are the angles that
you need to prove equal.
Given:
A line passes through the points (2,-1) and (1,-5).
To find:
The equation of the line.
Solution:
If a line passes through the two points, then the equation of the line is
The line passes through the points (2,-1) and (1,-5). So, the equation of the line is
Using distributive property, we get
Subtract 1 from both sides.
Therefore, the correct option is B.
220 degrees = 3.83972
to convert degrees to radians, multiply by <span>π<span>180°</span></span>, since a full circle is <span>360°</span> or <span>2π</span> radians.<span>220°⋅<span>π<span>180°</span></span></span> radians Cancel the common factor of 20 <span><span>111</span>⋅<span>π9</span></span> radians Multiply <span>111</span>and <span>π9</span> to get <span><span>11π</span>9<span>11π</span>9</span><span> radians
</span><span>
</span><span>I hope this helps.</span>
Answer:
C. m Angle M = 113o and m Angle N = 61o
Step-by-step explanation:
It's the only answer that makes all the angles added together equal 360 degrees.
67 + 119 + 113 + 61 = 360
Answer:
18
Step-by-step explanation:
volume= r × h = 2 × 9= 18
