Answer:
x = 4
Step-by-step explanation:
If the triangles are similar then the ratios of corresponding sides must be equal, that is
[tex]\frac{EF}{YZ}[/tex] = [tex]\frac{DE}{XY}[/tex] , substitute values
[tex]\frac{2x-1}{14}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10(2x - 1) = 70 ← distribute left side
20x - 10 = 70 ( add 10 to both sides )
20x = 80 ( divide both sides by 20 )
x = 4
Answer:
Answer is x=4
Step-by-step explanation:
[tex]given \: that \: def \: is \: similar \: to \: xyz \\ by \: similarity \: theorem \\ \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz} \\ \\ \frac{5}{10} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ \frac{1}{2} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ therefore \\ \frac{1}{2} = \frac{2x - 1}{14 } \\ 2x - 1 = 7 \\ 2x = 8 \\ x = 4[/tex]
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