When two or more points are on a straight path, then they are collinear. So that in the given question, the value of x is 7.
Two or more points are said to be collinear if and only if they fall on a straight line. Thus, the points can be joined by a single straight line.
From the given question, it can be observed that;
XZ = XY + YZ
But given the following:
XY = 5x, YZ = 2x + 7, and XZ = 56
Then,
56 = 5x + (2x + 7)
= 5x + 2x + 7
56 = 7x + 7
collect like terms to have
56 - 7 = 7x
49 = 7x
x = [tex]\frac{49}{7}[/tex]
= 7
x = 7
Therefore, the value of x is 7.
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