Answer:
Similar states:
- They have the same geometric shape.
- Their corresponding sides are in proportion.
Given the statement: Pentagon JKLMN is similar to pentagon STUVW .
If NJ = 4 units WS = 3 units and JK = 5 units.
We have to find ST.
By definition of similar;
[tex]\frac{JK}{ST}=\frac{KL}{TU}=\frac{LM}{UV}=\frac{MN}{VW} =\frac{NJ}{WS}[/tex].
then;
[tex]\frac{JK}{ST}=\frac{NJ}{WS}[/tex]
Substitute the given values, to solve for ST;
[tex]\frac{5}{ST}=\frac{4}{3}[/tex]
By cross multiply we have;
[tex]15=4ST[/tex]
Divide both sides by 4 we get;
[tex]3.75 = ST[/tex]
Therefore, the value of ST = 3.75 units
