Question

Please help I think y is supposed to be x but I’m not sure

Answer 1

y = 3.2

Step-by-step explanation

Given:

A circle with two intersecting chords.

Desired Outcome:

The value of y

Applying the Intersecting Chords Theorem

`\begin{gathered} AO* OB=OC* OD \\ \end{gathered}`

Note: AB is the diameter of the circle

Therefore,

CO = OD = y

That is:

`\begin{gathered} 2*5=y* y \\ y^2=10 \\ y=√(10) \\ y=3.1622 \end{gathered}`

Hence, y is 3.2 (rounded to the nearest tenth).