The intersecting secant theorem states the relationship between the two intersecting secants of the same circle. The given problems can be solved using the intersecting secant theorem.
<h3>What is Intersecting Secant Theorem?</h3>
When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment other secant and its length.
a(a+b)=c(c+d)
1.)
6(x+6) = 5(5+x+3)
6x + 36 = 25 + 5x + 15
x = 4
2.)
4(2x+4)=5(5+x)
8x + 16 = 25 + 5x
3x = 9
x = 3
3.)
8x(6x+8x) = 7(9+7)
8x(14x) = 112
112x² = 112
x = 1
4.)
(x+3)² = 16(x-3)
x² + 9 + 6x = 16x - 48
x² - 10x - 57 = 0
x = 14.0554
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Please show the graph because I need more information
Given:
There are given the quadratic equation:
Explanation:
To find the value of x by using completing the square, first, we need to subtract 59 on both sides of the given equation:
So,
From the given equation:
Now,
Take half of the x term and square it:
So,
From the x term,
Then,
Add 64 on both sides of the above equation.
So,
Hence, an option first is correct:
Now,
From the above square:
![\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x%2B8%29%5E2%3D5%20%5C%5C%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
Then,
Subtract 8 from both sides of the equation;;
So,
![\begin{gathered} x+8=\pm\sqrt[]{5} \\ x+8-8=\pm\sqrt[]{5}-8 \\ x=\pm\sqrt[]{5}-8 \\ x=\sqrt[]{5}-8,\pm\sqrt[]{5}-8 \\ x=-5.7639,-10.236067 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5C%5C%20x%2B8-8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B5%7D-8%2C%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D-5.7639%2C-10.236067%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the value of x is shown below:
Answer:
x=10
Step-by-step explanation:
because since 60 is apart of 10
Step-by-step explanation:
A straight line has an angle of 180
132+(2x+3)=180
2x+3=48
2x=45
x=45/2
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