The length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.
<h3>What is the perimeter of a rectangle?</h3>
The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
P=2(l+w)
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
Travis drew a graph to plan the rectangular garden he has. The points over the graph marked are the four corners of the fence around the garden.
Now let suppose the two corner marked are with total distance of x while other two with total distance of y. Then the length will be x and width will be y.
Thus, the length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.
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The value of x is 54 and the measure of angle 8 is 64 degrees
<h3>How to determine the value of x and find the measure of angle 8?</h3>
The given parameters are
Angle 1 = 2x + 10
Angle 8 = x + 10
The figure that completes the question is added as an attachment
From the figure, we have
Angle 1 = Angle 3 ---- vertical angles
Angle 3 + Angle 8 = 180 ---- internal angles within the transversal
Substitute Angle 1 = Angle 3 in the equation Angle 3 + Angle 8 = 180
Angle 1 + Angle 8 = 180
Substitute the known values in the above equation
2x + 8 + x + 10 = 180
Evaluate the like terms
3x = 162
Divide both sides by 3
x = 54
Substitute x = 54 in Angle 8 = x + 10
Angle 8 = 54 + 10
Evaluate
Angle 8 = 64
Hence, the value of x is 54 and the measure of angle 8 is 64 degrees
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Answer:
y=3x-16
Step-by-step explanation:
-3y=-9x+27
y=3x-9
slope: 3
y-2=3(x-6)
y-2=3x-18
y=3x-16