Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
Answer: B and D
Explanation:
Add like terms. "Like terms" are those with the same constellation of variables.
.. terms with variable x: 5x +3x = (5 +3)x = 8x
.. terms with no variable: -9 -20 = -29
The simplified form is 8x -29.
Step-by-step explanation:
sin theta = 12/13
cos theta = 5/13
tan theta = 12/5
cosec theta = 13/12
sec theta = 13/5
cot theta = 5/12
6 quarters = $1.50
9 Nickels = $0.45
Total= $1.95
Answer is 6 quarters and 9 nickels.<span />