<u>Given</u>:
The given circle with center at C. The lines AB and AD are tangents to the circle C.
The length of AB is (3x + 10)
The length of AD is (7x - 6)
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".
We shall determine the value of x using the above property.
Thus, we have;
AB = AD
Substituting the values, we get;

Subtracting both sides of the equation by 7x, we get;

Subtracting both sides of the equation by 10, we get;

Dividing both sides of the equation by -4, we get;

Thus, the value of x is 4.
There are 100 pennies in a dollar. We can divide 12000 pennies by 100 to find out how much they are worth in dollars.
12000/100 = $120
Y - y₁ = m(x - x₁)
y - 2 = 4(x - 7)
y - 2 = 4(x) - 4(7)
y - 2 = 4x - 28
+ 2 + 2
y = 4x - 26
1200 × 9.95 = 11.940 × 26 =310,440 ÷ 100 = 3,104.40 her commission is $ 3,104.40