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Fractions on the Number Line

The figure sh...

Question

The figure shows three squares with sides of length $5, 7,$ and $x$ , respectively. If $A, B$ and $C$ lie on line $l$ , what is the value of $x$ ?

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Solution

The correct option is D 9.8
Consider $\frac{A D}{B D} = \frac{B E}{C E}$
i.e., $\frac{A D}{B D} = \frac{B E}{C E}$
$\Rightarrow \frac{5}{7 - 5} = \frac{7}{x - 7}$
$\Rightarrow 5 x - 35 = 14$
$\Rightarrow 5 x = 49$
$\Rightarrow x = \frac{49}{5}$ .

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The figure shows three squares with sides of length 5,7, and x, respectively. If A,B and C lie on line l, what is the value of x?

The correct option is D 9.8Consider ADBD=BECE i.e., ADBD=BECE⇒57−5=7x−7 ⇒5x−35=14⇒5x=49⇒x=495.

The figure shows three squares with sides of length $5, 7,$ and $x$ , respectively. If $A, B$ and $C$ lie on line $l$ , what is the value of $x$ ?

The correct option is D 9.8
Consider $\frac{A D}{B D} = \frac{B E}{C E}$
i.e., $\frac{A D}{B D} = \frac{B E}{C E}$
$\Rightarrow \frac{5}{7 - 5} = \frac{7}{x - 7}$
$\Rightarrow 5 x - 35 = 14$
$\Rightarrow 5 x = 49$
$\Rightarrow x = \frac{49}{5}$ .