Answer:
UP = 3.9
Explanations:
△ SUP ~ △MAN (That is, △ SUP is similar to △MAN)
When two triangles are similar:
their corresponding sides have a common proportion (scale factor)
their corresponding angles are congruent
SP and MN are corresponding
UP and AN are corresponding
SU and MA are corresponding
SU = 25
MA = 18
UP = x
AN = 2x - 5
Since the triangles are similar, and for similarity, the ratio of corresponding sides shhould be the same:
UP / AN = SU / MA
x / (2x-5) = 25 / 18
Cross multiply:
18x = 25(2x - 5)
18x = 50x - 125
50x - 18x = 125
32x = 125
x = 125 / 32
x = 3.9
Since UP = x
UP = 3.9
