We know that the amounts earned by Dawn, Doug and Dale are from the list of numbers: $9.35, $8.52 and $8.25
We also know that Dale and Doug earned close to $9.00
And that Dawn earned $1.10 less than Dale
Let the amount earned by Dale be x
⇒ Amount earned by Dawn is x - 1.1
If we notice the list of numbers, we see that $9.35 and $8.25 differ by $1.1
Hence, Dale earned $9.35 and Dawn earned $8.25
We are now left with $8.52, which should be the amount earned by Doug. This is correct, since we also know that Doug earned close to $9.
Hence, the amounts earned are:
Dale: $9.35
Doug: $8.52
Dawn: $8.25
Answer:
3.
Step-by-step explanation:
4$ = 1 pack
(think: what times 4 is 12? 3! so we need to muliply both sides of the equal sign by 3, so we can turn the 4 into a 12. Remember, what you do to on side, you must do to the other. )
4$ = 1 pack
*3 *3
12$ = 3 packs
so your answer is 3.
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.
Well it is true if the problem is the right with the right answer. If not you have a false eqaution.
