In order to create a line parallel to line “I”, rotate line “I” 180° about points “F”. This can be done clockwise or counterclockwise.
Given:
The function is:
The graphs of functions 
and 
.
To find:
The function .
Solution:
We have,
The function is vertically compresses to get the graph of the function . So, the function is:
...(i)
From the given graph it is clear that the graph of the function passes through the point (3,3). So, putting 
and 
in the above function, we get
Putting 
in (i), we get
Therefore, the correct option is D.
Both of those times are in two standard deviations, so the percent would be 95%.
Option 3, definition of congruent segments is the answer I'm pretty sure
Let us find the length of rope Jules will need using the pythagoras theorem .
Width of the moat ( let the moat be the base of this triangle ) = 14 foot
Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet
Then the length of rope needed ( hypotenuse ) =
= Let us name the triangle that is formed as △ ABC . Then ;
In △ ABC :
AB = the width of moat ( leg of triangle ) = 14 foot
BC = The distance from the window to the moat ( base ) = 20 feet
AC = Length of rope needed ( hypotenuse ) =
= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 14² + 20² = AC²
= 196 + 400 = AC²
= 596 = AC²
= 24 × 24 = AC × AC
= 24 foot = AC = length of rope needed by jules .
Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .
