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!
17 inches
15^2 + 8^2 = 289
square root of 289 = 17 inches
Umm just do the problem with 7 in the place of N
Answer: √58 cm or 7.62 cm
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since we are given the lengths of a and b, we can plug them into this formula to find the length of the hypotenuse.
7²+3²=c²
49+9=c²
58=c²
c=√58 or 7.62 cm
Answer:
20 chairs
Step-by-step explanation:
After 136 people are seated in the bleacher, there can be 514 people seated in chairs. We know that 514 = 25×20 +14, so there can be 20 rows of 25 chairs. We require an equal number of chairs in each row, so there cannot be some rows with 21 chairs, nor can there be a 26th row with 14 chairs.
There can be 20 chairs in each row.