Determine whether a tangent line is shown in this figure? a. no b. yes

Option B is correct .i.e., Yes.

Step-by-step explanation:

We are given with length of three line segments .

10 , 6 and 8.

We use the result to check if one line is tangent or not.

Result: Tangent is perpendicular to radius at point of contact.

So if AB is tangent than ABO form a right angled triangle and AB is right angle.

AO² = 10² = 100

AB² + BO² = 8² + 6² = 64 + 36 = 100

Since AO² = AB² + BO²

According to Pythagoras theorem,

∠B is 90° which implies AB is tangents to circle.

Therefore, Option B is correct .i.e., Yes.

c. 4 and 1/2 pounds is the answer! : )

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d