Answer: 4 (OPTION 2)
Step-by-step explanation:
1. To solve this problem you must apply the Intersecting secants theorem, as you can see below:

Where:


2. Then you must susbstitute values and solve for x, as following:

Therefore the answer is the second option.
Answer:
x = -5
Step-by-step explanation:
I) Substitute:
3x + 2y = -5
3x + 2(5) = -5
3x + 10 = -5
II) Solve:
3x + 10 = -5
3x = -15 (Subtract 10 from both sides)
x = -5 (Divide both sides by 3)
Answer:
L = 68 ft
Step-by-step explanation:
To find the perimeter of something you need to add up all the sides
In this case I am assuming Sam's property is a square/rectangle
- Which means the formula for the perimeter is P = 2L + 2W
If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l
- 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
- 216 = 4W - 24 + 2W → combing like terms gives us
- 216 = 6W - 24 → adding 24 to both sides gives us
- 240 = 6W → dividing both sides by 6 gives us
- 40 ft = W
With the width being solved, we can now plug that value into our length equation
- L = 2(40) - 12 → distributing the 2 to the 40 gives us
- L = 80 - 12 → combing like terms give us
- L = 68 ft
The answer to the problem is 15.
First, you must set up the equation.

Then, you must eliminate double negatives.

Next, divide -56 by -7.

Finally, add like terms.
