Answer:
I don't know how helpful I'll be, sorry :(
Step-by-step explanation:
So the scale factor is 1/4 reduction because the triangle P'Q'R' is smaller than the original. When reflecting the triangle P'Q'R' over the Y axis, you'll have P"Q"R". The graphing might be a little confusing but it's just a vertical reflection.
P" = (-1,0)
Q"= (0,-1)
R"= (2,-1)
Triangles PQR and P"Q"R" are not congruent because P"Q"R" has had a 1/4 reduction and a vertical reflection.
Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.
<em><u>Explanation</u></em>
Suppose, the amount of money at 6% interest is
As Paul has total $40000 to invest, so the amount of money at 10% interest will be:
His intent is to earn 9% interest on his $40000 investment. So, the equation will be......
So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.
Answer: 2.76 g
Step-by-step explanation:
The formula to find the standard deviation:-
The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.
Then,
Now,
Then,
Hence, the standard deviation of his measurements = 2.76 g