Question

Does anyone know this answer

What is the length of line segment QP? Round to the nearest unit.

13 units
17 units
18 units
20 units

Answer 1

Option D is correct

QP = 20 units

Explanation:

From the given figure we have;

QP = n units, PN = 11.5 units and NM = 24 units

Using tangent secant formula we have;

`QP^2 = PN \cdot PM`

First find PM:

PM = PN+NM

PM = 11.5 + 24 = 35.5 units

Substitute the given values we have;

`n^2 = 11.5 \cdot 35.5`

⇒
`n^2 = 408.25`

⇒
`n = √(408.25)= 20.2051974` units

Therefore, the length of the line segment QP to the nearest unit is, 20 units

Answer 2

Pls. see attachment.