Using the fact that the triangles shown are similar, we can set up a proportion between the lengths of the sides.
The side length in question is QR, or "x". To find its corresponding side in the larger triangle let's look at the similarity.
MNO is similar to PQR
Vertices are always written in order of correspondence when stating similarities. Since QR are the last two letters of the triangle's name, and NO are the last two letters of the larger triangle's name, we know that QR and NO are corresponding sides. We can apply this same method to any other side.
NO/QR = MN/PQ
(MN and PQ are also corresponding sides)
Now we can substitute the side names with their values.
4.5/x = 5/2
Cross multiply
5x = 9
Divide both sides by 5
x = 9/5 or 1.8 or 1 4/5
Hope this helps!
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It is .00019
hope it helps!
Edit: 33% is not
, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68
The following is the original solution, which is incorrect.
33% =
. Multiply the bonus of $496 by
to get the solution of
, or 165 and
Therefore the solution is $165.33
<span>0.5x - 0.1 = -2.9
When you multiply each side of an equation by the same number,
you don't change the equation or its solution. If you want to get rid
of the decimals, you could multiply each side by 10. Then the
equation is
5x - 1 = -29
You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:
</span><span><span>5x - 1 = -29
Add 1 to each side: 5x = -28
Divide each side by 5 : x = -28 / 5
Simplify the solution: x = -5 and 4/5 .
Again ... this is the same solution as the original equation
if we hadn't gotten rid of the decimals.
</span></span>
