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Leya [2.2K]
3 years ago
8

Find the value of x in the following diagram, 3x + 10 Here, B and D are points of tangency.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

<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;

3x+10=7x-6

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

-4x+10=-6

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

-4x=-16

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

x=4

Thus, the value of x is 4.

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A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?
harina [27]
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0
3 years ago
Factor 24x-40 using GCF
posledela

Answer:

8(3x-5)

8 is the GCF of 24 and 40 so you write 8 and in brackets you put your terms after you divide by 8 so you get 3x and -5 so it is written as 8(3x-5)

3 0
3 years ago
What is the answer of this on (if 3 pieces of candy cost $2.10 how much would four pieces cost)
ale4655 [162]

Answer:

70 hope it helps

Step-by-step explanation:

210/3=70

5 0
2 years ago
100 is the regular price if you buy one and get the other half price. Explain how this different from getting a 50% discount?
Vinvika [58]
100 = x + x/2

3x/2 = 100

x = 200/3

if there was 50% discount:

buying 1 would be $33.33

buying 2 would be $66.67
4 0
3 years ago
18 - 2x = y
DerKrebs [107]

B. Y equals 0, because if you plug it in ( multiply 2 by 9 ) you will get 18-18 which equals 0.
6 0
3 years ago
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