Considering that point y splits segment xz, the value of variable a is given by a = 4.
How to find the value of variable a?
Point y splits segment xz into two parts, hence the length of segment xz can be given by the following equation:
xz = xy + yz.
The measures are given as follows:
Hence, we replace into the equation and solve for a.
xz = xy + yz
6a + 24 = 7a + 5a
12a = 6a + 24
6a = 24
a = 24/6
a = 4.
A similar problem, in which a point splits a segment, is given at https://brainly.com/question/4450896
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