Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the movement of the progress bar may be uneven because questions can be…

Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
a flashlight is projecting a triangle onto a wall, as shown below.
the original triangle and its projection are similar. what is the missing length $n$ on the projection?
$\bigcirc$ 40
$\bigcirc$ $22\frac{1}{2}$
$\bigcirc$ 35
$\bigcirc$ 10

Explanation:

Step1: Set up similarity proportion

Since the triangles are similar, corresponding sides are proportional: $\frac{n}{20} = \frac{30}{15}$

Step2: Simplify and solve for n

First simplify $\frac{30}{15}=2$, then multiply both sides by 20: $n = 2 \times 20$

Answer:

40