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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Answer:
25/2
Step-by-step explanation:
D = 5, E = 10 and F = 4,
D• E/F
5 * 10/4
Multiply and Divide from left to right
50/4
25/2
Answer:
$18 per square foot.
Step-by-step explanation:
First there are 3 feet in a yard. So if she purchased 5 square yards there would be 3 times as many square feet soo.
5*3= 15
So there were 15 square feet in the 5 square yards.
Now just divide 270/15 = 18
$18 per square foot.
Hope this helpsss!
