Answer:
x = 64
Step-by-step explanation:
For the lines to be parallel, then
x - 1 = 63 ( corresponding angles )
Add 1 to both sides
x = 64
Answer:
Step-by-step explanation:
y = x/4 - 12
x = y/4 - 12
y/4 - 12 =x
y/4 = x + 12
y = 4x + 48
h(x) = 4x + 48
y = 3x - 122
x = 3y - 122
3y - 122 = x
3y = x + 122
y = x/3 + 122/3
f^-1(x) = x/3 + 122/3
The number of people at the party now is 23.
The percentage of a number is the fraction of that number multiplied by 100. Percentages are represented with this sign: %.
3 friends arrive at a party. The percentage of people increase by 20%.This can be represented with this equation:
p x 20% = 3 people
where p is the number of people at the party before the friends arrived.
p = 3 / 20%
p = 3 / 0.20
p = 15 people
The total number of people at the party now : 15 + 8 = 23.
To learn more about percentages, please check:
brainly.com/question/92258?referrer=searchResults
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do of job = 2 hours
i.e. Time for complete job done alone by Kelly =
Rest of work = of the job
of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together =
Let t be the time taken by Annette to do job alone.
Then, as per situation
hence, Annette will take 6 hours to do the entire job alone.
The area of the circle is 28.26 in²
<u>Explanation:</u>
Given:
Radius of the circle, r = 3 in
Area of circle, A = ?
We know:
Area of circle = πr²
The value of π is 3.14
Thus,
A = 3.14 X (3)²
A = 3.14 X 9
A = 28.26 in²
Therefore, the area of the circle is 28.26 in²