When two lines are parallel, the perpendicular distance between them is the same all through the way and the angles formed between the parallel lines and the perpendicular ones joining them is equal to 90 degree.
Example of this is the square or the rectangle as shown below:
AB || BC and both AD and BC are perpendicular on the two lines.
Accordingly, the two perpendicular lines are equal
Based on this, the ratio of PR and QS is 1:1
The answer is:
D.) <span>y=(x+2)^2+7</span>
Answer:
Step-by-step explanation:
p/s=5/16
x/4=5/16
x=4(5)/16
x=20/16
x=5/4
x=1.25 pints
Answer:
30 degrees
Step-by-step explanation:
A linear pair of angles add upto 180
So, y+150=180
y=180-150
=30
Answer:
t = 8.31 years
Step-by-step explanation:
This is compound growth with a growth rate of 5%, initial count of 600 and final count of 900.
The appropriate equation is P = Po (1 + 0.05)^t, where t represents the number of years required for the population to reach P:
900 = 600 (1.05)^t. Let's solve this for t:
Dividing both sides by 600, we get 900/600 = 1.05^5, or
1.5 = 1.05^t.
To solve for t, take the log of both sides:
ln 1.5 = t*ln 1.05, or
t = (ln 1.5) / (ln 1.05)
This evaluates to t = 8.31 years.