Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
Answer:
-1 <x < 7
(-1,7)
Step-by-step explanation:
open circle on the left means the number is greater than
-1 <x
Open circle on the right means the number is less than
x < 7
Since both statements are true. we combine them
-1 <x < 7
open circles means parentheses, closed circles mean brackets
Answer:
(
1.17
3
, 4.6
)
Step-by-step explanation:
Answer:
<u>The current value of Vincent's Hotel common stock is US$ 12.95, that fulfills the requirement of an investor of 17% of rate of return annually.</u>
Step-by-step explanation:
1. Let's review the information given for answering correctly the question:
Currently common stock dividend = US$ 2.20
Annual growth of the dividend for the next 2 years = 3%
Annual growth of the dividend after the next 2 years = 0%
2. What is the current value of Vincent’s Hotel common stock to an investor requiring 17% rate of return?
17% = 0.17
Current value of Vincent's Hotel common stock = 2.20/0.17
<u>Current value of Vincent's Hotel common stock = US$ 12.95</u>
Answer: The exponent
Step-by-step explanation:
a is the coefficient,
b is the base
x is the exponent
