Answer:

Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

Therefore, the value of x is 11.
You can double-check using the sine ratio:

Insert the values:

Insert the equation into a calculator:

:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
Answer:
Tamara incorrectly factored the whole expression.
Step-by-step explanation:
Note that
•21x=3·7·x;
•56xy=2·2·2·7·x·y.
Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.
Thus,
21x+56xy=7x(3+8y).
Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.
Answer:
16 children and 11 adults
Equation 1: a + c = 27
Equation 2: 4a + c = 60
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
the absolute value is how many numbers it is from zero and will always be positive
Answer:
if UW = 9x-9 then UW is 5 in units