Answer:
No solution
Step-by-step explanation:
- 4x - 4y = 1
- 4x - 4(x + 2) = 1
- 4x - 4x - 8 = 1
- - 8 = 1
Our end result is -8 = 1. This is not true, so this system of equations have no solution.
<span>An exterior angle of a triangle is equal to the sum of the opposite interior
angles </span>⇒ x = 30 + 90 = 120°
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!
Answer:
53 bagels
Step-by-step explanation:
The number of bagels, y sold is a function of the square of the time (x) plus 4.
Therefore:

Number of Hours from 12.00 am to 7:00 am =7
At x=7
The number of bagels sold,

The bagel shop sold 53 bagels from 12: 00 am to 7: 00 am.
90 is the outlier
for future reference, outliers are numbers much larger or much smaller than the other numbers in a set
for example
2,3,4,21,6
or 90,87,94,12,99