I need help with these questions (see image). Please show workings.​

r =

Step-by-step explanation:

h bisects l at right angles.

There is a right triangle formed with legs h and l and hypotenuse r

Using Pythagoras' identity, then

r² = ( l )² + h²

   = l² + h² ← factor out

    = (l² + 4h²)

Take the square root of both sides

r = =

Step-by-step explanation:

Connect the endpoints of the with the center. The formed triangle is isosceles with sides l, r and r.

The height of the triangle h, is the distance between the center of the circle and the midpoint of the chord.

As per Pythagorean theorem we have:

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

where are the options?

step-by-step explanation: