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.
Step-by-step explanation:
tvt67tvyy8vy8vt67vt7v6vt67yvtv
Mean is the same as the average
median is the middle number
mode is the number that is used most often
range is the highest number minus the lowest number
example :
2,3,3,5,7
u find the mean by adding up all the numbers, then dividing by how many numbers there are. (2 + 3 + 3 + 5 + 7) / 5 = 20/5 = 4 (the mean)
the median would be the middle number, and that would be 3
the mode would be the number that appears the most..that would be 3 because it appears twice.
the range is the highest - lowest : 7 - 2 = 5 (the range)...bur dont get this confused by the interquartile range..it is not the same as the range.
Answer:
67 students voted for the eagle
Step-by-step explanation:
The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle
Total students who voted = 536
Falcon won with 5/8 of the votes
5/8 of 536
=5/8 × 536
= 2,680/8
= 335 votes
Falcons won with 335 votes
Remaining votes = Total votes - falcons votes
= 536 - 335
= 201 votes
There are 201 votes remaining
Eagle came second with 1/3 of the remaining votes
1/3 of the remaining votes
= 1/3 × 201
= 201/3
= 67 votes
67 students voted for the eagle
A. Yes, since a square is a type of rectangle, but it has four congruent and parallel side.
B. Yes, since a square is also a type of parallelogram. Therefore it has 2 pairs of parallel sides.
C. No, they have 2 pairs of congruent sides.
Hope this helps :D
