Question

Solve for x. Show the equation you used and your work.

Answer 1

ST/VT = UT/WT6+14/14  = (x+4)+21/21X= 20*21/14 - 21x=420/14-25X=30-25x=5

Answer 2

From the given figure , Triangle TVW and triangle TSU are silmilar triangles.

From the property of similar triangle, ratio of corresponding sides of similar triangles are equal.

Which means ratio of corresponding sides of triangle TVW and TSU are equal

That is,

`=>( TS)/(TV) =( TU)/(TW)\\\\=>( TV+VS)/(TV) =( TW+WU)/(TW)\\\\=>( 14+6)/(14) = ( 21+x+4)/(21)\\\\=>( 20)/(14) = ( 25+x)/(21)\\=>25+x = ( 20 *21)/(14) = 30\\=> x= 30-25=5`

Hence, x = 5.