contestada

It is known that ARST - AWXY. If RS =18, ST = 25, and TR=11 then which of the following is closest
to the ratio of XY to WX?
(1) 0.44
(3) 2.27
(2) 1.39
(4) 0.72

It is known that ARST AWXY If RS 18 ST 25 and TR11 then which of the following is closest to the ratio of XY to WX 1 044 3 227 2 139 4 072 class=

Respuesta :

MrRoyal

Answer:

[tex]XY : WX = 1.39[/tex]

Step-by-step explanation:

Given

[tex]RS = 18; ST = 25; TR = 11[/tex]

Required

Which is closest to [tex]XY : WX[/tex]

From the question, we understand that: [tex]\triangle RST[/tex] and [tex]\triangle WXY[/tex] are similar.

This means that, the following sides are similar:

[tex]RS \to WX[/tex]

[tex]ST \to XY[/tex]

[tex]TR \to YW[/tex]

So:

[tex]XY : WX = ST : RS[/tex]

This gives:

[tex]XY : WX = 25 : 18[/tex]

Express as fraction

[tex]XY : WX = \frac{25 }{ 18}[/tex]

[tex]XY : WX = 1.39[/tex] --- approximated

Otras preguntas