In 3 years she will earn 1,800.
15,000 x .12=1,800
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.
Answer:
14.02
Step-by-step explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost.
Club A's is y
=
24x
+
21.50 and Club B's is y
=
17.25
x
+
41.00 Because we know that the prices, y
, would be equal, we can set the two equations equal to each other.
24x
+
21.50
=17.25
x+
41.00
subtract 21.50 both sides
. We can now solve for x by isolating the variable.
24x=17.25x+19.5
divide 17.25x
1.39x=19.5
divide 1.39 both sides
x=14.02
After five months, the total cost would be the same.
Answer:
The answer is
her score was in the top 85% of all test takers' scores.
Step-by-step explanation:
Percentile is the relative standing in a set of data from the lowest values to highest values.
If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score.
84 days will pay before they both do their chores again on the same day.
<span>
<span>
</span><span><span>
Ross mows the lawn
<span> Annie bathes the dog </span>
</span>
<span>
12 x
1 =
12 21 x 1 = 21
</span>
<span>
12 x 2 = 24 21 x 2 = 42
</span>
<span>
12 x 3 = 36 21 x 3 = 63
</span>
<span>
12 x 4 = 48 21 x 4 = 84
</span>
<span>
12 x 5 = 60
21 x 5 = 105
</span>
<span>
12 x 6 = 72 21 x 6 = 126
</span>
<span>
12 x 7 =
84 21 x 7 = 147
</span>
<span>
12 x 8 = 96 21 x 8 = 168
</span>
<span>
12 x 9 = 108 21 x 9 = 189
</span>
<span>
12 x 10 = 120 21 x 10 = 210
</span></span></span>
