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Two similar polygons are shown below. Find the value of x and y.

Two Similar Polygons Are Shown Below Find The Value Of X And Y class=

Sagot :

Answer:

x = 18, y = 12

Step-by-step explanation:

Δ SRT and Δ VUT are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{SR}{VU}[/tex] = [tex]\frac{ST}{VT}[/tex] , substitute values

[tex]\frac{12}{4}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )

4x = 72 ( divide both sides by 4 )

x = 18

From side ST

y + 6 = 18 ( subtract 6 from both sides )

y = 12

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