Answer:
Step-by-step explanation:
For two angles x and y to be supplementary, the sum of the angles must be 180°
x+y = 180
x = 180-y... 1
If the measure of the angle is five times greater than its supplement this is expressed as:
x = 5y…. 2
Substitute equation 2 into 1
5y = 180-y
5y+y = 180
6y = 180
y = 30°
Hence the measure of the supplement is x = 5y
x = 5(30)
x = 150°
Answer:
Step-by-step explanation:
The possible outcomes include 1, 2, 3, etc., up through 25. This in itself is insufficient to specify who will go first. There must be some further criteria.
Suppose each player chooses and announces a number from this set by writing it down on a scrap of paper which is placed face-down on the table. The person who chooses the smaller number goes first. Or, the person who chooses the larger number goes first.
The total cost of the dinner with a pre-tax tip would be $65.78. If you paid this with a $100 bill, you would get $34.22 back.
I believe it would be 100 because the 9 in 99 would be the rounding spot and if you look to the right of it its another 9 which is greater than five so that would round up to 100
Answer:
Step-by-step explanation:
The mnemonic SOH CAH TOA helps you remember the definitions of the trig functions. In particular, the function that involves the Opposite side and the Hypotenuse is the Sine function:
... Sin = Opposite/Hypotenuse
In this problem that means ...
... sin(55°) = x/(12 ft)
Multiplying by 12 ft, we have ...
... (12 ft)·sin(55°) = x ≈ 9.82982 ft ≈ 9.8 ft
