1 Answer

Yurislav · Answer 1 · 2024-10-16T08:15:58+0000

Answer:

SQ = 4

Explanation:

We can solve for the constant of proportionality (
) between triangle QRS and XYZ by comparing corresponding side lengths.

With the given information, we can compare the right side of each triangle:

k= (YZ)/(RS)

↓ plugging in given values

= (9)/(3)

↓ simplifying

= 3

So, the constant of proportionality (
) between
$\triangle$ QRS and
$\triangle$ XYZ is 3.

We can use this constant to solve for the length of SQ, since we can see that it corresponds to ZX on the other triangle.

$ZX = k \cdot SQ$

↓ plugging in given values

$12 = 3 \cdot SQ$

↓ dividing both sides by 3

$\boxed{SQ = 4}$

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