Question

Please help me, i am trying to figure out the value of x

Answer 1

x = 28

Explanation:

Since the two triangles are similar, which implies that their corresponding sides are proportional.

Let's set up the proportion using the given information:

`\sf (32)/(24) = (16)/(12) = (x)/(21)`

Now, let's solve for
`\sf x`.

First, simplify the fractions:

`\sf (4)/(3) = (4)/(3) = (x)/(21)`

Since the two fractions are equal, we can write:

`\sf (4)/(3) = (x)/(21)`

Now, cross-multiply to solve for
`\sf x`:

`\sf 4 * 21 = 3 * x`

`\sf 84 = 3x`

Now, divide both sides by 3 to find the value of
`\sf x`:

`\sf x = (84)/(3)`

`\sf x = 28`

So, the value of
`\sf x` is 28.