Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
(0,4) (0,-2) (-2,0)
for the reflection over the x-axis, all the y values go to their opposite (0,-4) (0,2) (2,0)
then at the rotation it goes (-x,-y) and becomes (0,4) (0,-2) (-2,0)
The capital letter that shows an example of perpendicular line segments is: A. L (see attachment).
<h3>What are Perpendicular Line Segments?</h3>
Perpendicular line segments are lines or rays that intersect at a point to form right angles (angle 90 degrees) at their point of intersection.
When two lines intersect, and at their point of intersection, the angle formed is a right angle, then both lines are perpendicular line segments just like the lines that forms letter L as shown in the diagram attached below.
Therefore, the capital letter that shows an example of perpendicular line segments is: A. L (see attachment).
Learn more about perpendicular line segments on:
brainly.com/question/7783266
Answer:
x=29 CEF=103 BEF=58
Step-by-step explanation:
161=3x+16+2x
5x=145
x=29
Given:
The equation of a straight line is

The x value of a point on the line is 14.
To find:
The y value of this point.
Solution:
If a point (x,y) lines on line, then the equation of line must be stratified by that point.
We have, the equation of a straight line.

Putting x=14, we get


Therefore, the y-value is 6 when the x-value is 14.