Question

NO LINKS! Please help me with this problem. ​

Answer 1

#1

`\\ \rm\Rrightarrow (WX)/(UV)=(HI)/(FE)`

`\\ \rm\Rrightarrow (WX)/(16)=(10)/(8)`

`\\ \rm\Rrightarrow WX/2=10`

`\\ \rm\Rrightarrow WX=20`

Again

#2

`\\ \rm\Rrightarrow (WX)/(UT)=(HI)/(FG)`

`\\ \rm\Rrightarrow (20)/(20)=(10)/(FG)`

`\\ \rm\Rrightarrow FG=10`

Answer 2

WX = 20

FG = 10

Explanation:

If EFGHI ~ VUTXW

then:

• EF~VU
• FG~UT
• GH~TX
• HI~XW
• IE~WV

The only pair of sides that both have measures is EF and VU

EF = 8

VU = 16

VU/EF = 16/8 = 2

Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.

As HI = 10

⇒ WX = 10 × 2 = 20

As UT = 20

⇒ FG = 20 ÷ 2 = 10