Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
Answer:
The year is
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is

=> 
=> 
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

=> 
Generally the year which the considered percentage will be attained is

=>
=>
For this one, an easy way to solve it is to break it down into parts. First lets convert 5 feet to inches.
Multiply the number of feet by how many inches are in one foot.
5 times 12= 60 in
Now just add the like terms
60 in + 2 in= 62 inches.
Now we see that Sarah is 62 inches tall, now we can convert to centimeters the same way.
62 times 2.54= 157.48
So that makes C your answer, Sarah is 157.48 cm tall.
For this case we must find an expression equivalent to:

By definition of power properties we have to meet:

Then, we can rewrite the expression as:

Answer:

Answer:
x = 15/8.
Step-by-step explanation:
Create an equation, let the number be x:
2/3 * x = 5/4
Now we multiply both sides by 3/2
3/2 * 2/3 x = 5/4 * 3/2
x = 15/8.