Which of the following percents is equivalent to 31/50
1 answer:
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Answer:
The earning to James per year is $ 39,440
The earning of Lin per year is $ 42,540 .
Step-by-step explanation:
Given as :
The total earning of James and Lin together = $ 81,980 per year
The earning of Lin is $ 3100 more per year than James
Let The earning of James = $ J
And The earning of Lin = $ J + $ 3100
So, According to question
The total earning of James and Lin together = $ 81,980 per year
Or, The earning of Lin + The earning of James = $ 81,980 per year
Or, $ J + $ 3100 + $ J = $ 81,980 per year
or, 2 $ J = $ 81,980 - $ 3100
Or, 2 $ J = $ 78880
∴ J =
I.e The earning to James per year = $ 39,440
And The earning of Lin per year = $ 34,440 + $ 3100 = $ 42,540
Hence, The earning to James per year is $ 39,440
And The earning of Lin per year is $ 42,540 . answer
Answer:
C, 20 units
Step-by-step explanation:
We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).
By AA Similarity, we know that triangle QTR is similar to triangle QRS.
With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.
Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.
Finally, we set these two ratios equal to each other:
Cross-multiplying, we get: .
Thus, x = . The answer is C, 20 units.
Hope this helps!