Question

wednesday 11/12 and thursday 11/13 - lines and angles of dilation + practice score: 2/7 answered: 2/7 question 3 a local furniture store sells two versions of the same chair: one for adults, and one for children. find the value of x such that the chairs are similar. 9 in x in 18 in 12 in x =

Explanation:

Step1: Set up the proportion

Since the chairs are similar, the ratios of corresponding sides are equal. So, we have the proportion $\frac{9}{18}=\frac{x}{12}$.

Step2: Cross - multiply

Cross - multiplying gives us $18x = 9\times12$.

Step3: Simplify the right - hand side

$9\times12 = 108$, so the equation becomes $18x=108$.

Step4: Solve for $x$

Divide both sides of the equation by 18: $x=\frac{108}{18}$.

Step5: Calculate the value of $x$

$\frac{108}{18}=6$.

Answer:

$6$