<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.
Step-by-step explanation:
here's the answer to your question
The answer is 25%.
First: work out the difference between the two numbers you are comparing.
Decrease = Original Number - New Number
35-28=7
Then: divide the decrease by the original number and multiply the answer by 100. % Decrease = Decrease ÷ Original Number × 100
7÷
28=.25
.25*100=25
<h2>
Answer is 25%.</h2>
The given equation is:
t = 7 + 5q
where:
t is the total number of points
q is the questions answered correctly
We are given that the total of correct answers is 6 and we want to find the total number of points. Therefore, all we have to do is substitute with the number of answers in the given equation to get the total points as follows:
t = 7 + 5q
t = 7 + 5(6)
t = 7 + 30
t = 37 points