Given:
A transformation was performed on PQRS to form P'QʻR'S'.
To find:
The transformation.
Solution:
The given graph shows two similar polygons. It means, dilation was performed.
From the given graph it is clear that,
units
units
Now,
A dilation factor of 
was performed on PQRS to form P'QʻR'S'.
Therefore, the correct option is (3).
-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.
-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.
-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends.
So the value of 'x' must satisfy these conditions:
<em>0 < x < 15</em>
<em>15 < x < 25</em>
<em>25 < x < 40</em>
Any number that satisfies these conditions is an acceptable value for 'x'.
<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Answer:
Step-by-step explanation:
The angle of elevation
It is 
away from the point.
If we imagine a right triangle having an angle 
.
Hypotenuse
, Opposite=Height from sea level
Answer:
x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees
Step-by-step explanation:
Finding x:
You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.
6x + 2 + 8x + 6 + 7x + 4 = 180
21x = 168 --> x = 8
Angle AFE:
Substitute the value of x in the given measure.
7x + 4 = 7*8 + 4 = 56 + 4 = 60
Measure of angle CFD:
Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.
