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elena-s [515]
3 years ago
8

A ____ is a pair of equal ratios.

Mathematics
1 answer:
12345 [234]3 years ago
6 0
A proportion is a pair of equal ratios.
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Please Help! Thanks!
svetlana [45]

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:

\frac{x}{25} =\frac{16}{x}

Cross-multiplying, we get: x^{2} =16*25=400.

Thus, x = \sqrt{400} =20. The answer is C, 20 units.

Hope this helps!

4 0
3 years ago
Read 2 more answers
What is the solution to 0.4(12 - 3x) = 0.3(12x - 16)?<br> F. 4<br> G. 2<br> H. -2<br> J. -4
jolli1 [7]
Answer : H-2
I can sure that's the answer
6 0
3 years ago
in the ambrose family the ages of the three children are three consecutive even integers . if the age of the youngest child is r
klemol [59]

The ages are consecutive even numbers.
The youngest child is  (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are

           (x + 3),  (x + 5),  and  (x + 7).

Their sum is    x+3  +  x+5  +  x+7  =  3x + 15

But we're told that their sum is  42, so we can write

                                              3x + 15 = 42  <== the equation

Subtract 15 from each side:  3x         =  27

Divide each side by  3 :          x         =   9    <== the solution

So the three ages are  12,  14,  and  16.

The oldest child is  16  years old.

3 0
3 years ago
HELP PLEASE‼️‼️‼️ DUE TODAY ANSWER QUESTIONS 8-19 SHOW WORKKKKKK
Alecsey [184]

Answer:

in which class are

Step-by-step explanation:

tell in in this number 9684574163

3 0
2 years ago
Help with math earn 10 points
katen-ka-za [31]

Answer:

Step-by-step explanation:

infinite and no solutions

5 0
3 years ago
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