Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
The matchup are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
<h3>What does the graph of an equation shows?</h3>
The graph of the linear equation is known to be one that often brings or set the points that can be found on the coordinate plane and it is one that shows all the solutions to the equation.
Note that when all variables stands for real numbers, a person can be able to use graph to show the equation and this is often done through plotting the points to show a pattern and then link up the points to have all the points.
From the above, the pictures that have all the points as shown on the graph are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
Learn more about equations from
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Where’s the data?................