Question

Solve for MO.
A)6
B)9
C)15
D)21

Answer 1

I believe the answer for MO would be 21 :)

Explanation:

Well, the answer for NO is 15, but that is not what we are looking for. the other two answers don't make sense at all, therefore it has to be 21.

Answer 2

To determine the length of MO, we apply the Pythagorean Theorem on triangle MNL to find MN =
`\sqrt{241.` Then, adding ML, we find MO =
`\sqrt{241` + 15 ≈ 30.5, choosing the closest option among provided choices, which is D) 21.

To solve for MO, we first need to find the length of MN. We can use the Pythagorean Theorem to do this:

`MN^2 = ML^2 + NL^2\\MN^2 = 15^2 + 4^2`

`MN^2 = 225 + 16\\MN^2 = 241`

MN =
`\sqrt{241`

Now that we know the length of MN, we can find the length of MO by adding the length of ML:

MO = MN + ML

MO =
`\sqrt{241` + 15

We can simplify the expression using a calculator, or by using the approximation
`\sqrt{241`
`\approx` 15.5:

`MO \approx 15.5 + 15\\MO \approx 30.5`

Therefore, the answer is D) 21.

Note: This is an approximation, as we used an approximation for the value of . The exact answer is
`\sqrt{241` + 15 .