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QUESTION IMAGE

what is the value of s? w 3s x v s+38 u s = submit

Question

what is the value of s?
w
3s
x
v
s+38
u
s =
submit

Explanation:

Step1: Use the perpendicular bisector theorem

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Here, \(3s=s + 38\).

Step2: Solve the equation for \(s\)

Subtract \(s\) from both sides of the equation \(3s=s + 38\).

$$3s-s=s + 38-s$$
$$2s=38$$

Divide both sides by \(2\):

$$s=\frac{38}{2}$$

Answer:

\(19\)