Answer:
x = 61
Step-by-step explanation:
x and 29 are complementary angles so they add to 90 degrees
x+29 = 90
Subtract 29 from each side
x+29-29 = 90-29
x = 61
Answer: 18.84
Explanation: When looking for the circumference you have to follow a certain formula; C= πd
Since the line is in the middle of the circle, you take half of 12, which is 6, and multiply it by pi. So C= 3.14 x 6 which gives you 18.84
Answer:

Step-by-step explanation:
Distance Formula: 
Simply plug in your 2 coordinates into the formula to find distance <em>d</em>:






Answer:
see attached
Step-by-step explanation:
The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.
_____
The (x, y) components are ...
7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)
In the equation, x represents the number of balloons. We say that 25 cents per balloon becomes 0.25x.
Jimmy also purchased a chocolate cake. This is the PLUS sign in the equation.
The total for everything purchased is $35.
Balloons x at 25 cents each = 0.25x plus a chocolate cake for $10 together equals $35.