Question

Solve for x. Your answer may be in decimal form. Round to the nearest tenth.

Answer 1

Answer:

x=55

Step-by-step explanation:

these are similar triangles(they have same shape and different sizes)

also two side of these triangles are equal.

lets write ratio:

21:5=x:13

x=21×13/5=54.6≈55

Answer 2

Answer:

$x=54.6$

Step-by-step explanation:

Because ΔABC is similar to ΔSTU, we know that their corresponding sides are proportional. Therefore, we know that $\frac{AB}{AC}=\frac{SU}{ST}$. We are given that $AB=x$, $AC=21$, $SU=13$, and $ST=5$. After substituting the given values into the proportion and solving for $x$, we get:

$\frac{AB}{AC}=\frac{SU}{ST}$

$\frac{x}{21} =\frac{13}{5}$ (Substitute given values into the proportion)

$5*x=13*21$ (Cross-Products Property)

$5x=273$ (Simplify)

$\frac{5x}{5}=\frac{273}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$'s coefficient)

$x=54.6$ (Simplify)

Hope this helps!