Question

Helllpppp): please !!

Answer 1

Answer:

x = 4

Step-by-step explanation:

If the triangles are similar then the ratios of corresponding sides must be equal, that is

$\frac{EF}{YZ}$ = $\frac{DE}{XY}$ , substitute values

$\frac{2x-1}{14}$ = $\frac{5}{10}$ ( 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 2

Answer:

Answer is x=4

Step-by-step explanation:

$given \: that \: def \: is \: similar \: to \: xyz \\ by \: similarity \: theorem \\ \frac{de}{xy} = \frac{ef}{yz} = \frac{df}{xz} \\ \\ \frac{5}{10} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ \frac{1}{2} = \frac{2x - 1}{14} = \frac{11}{5x + 2} \\ therefore \\ \frac{1}{2} = \frac{2x - 1}{14 } \\ 2x - 1 = 7 \\ 2x = 8 \\ x = 4$

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