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
Learn more about Secant:
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Hey there! :D
Make an algebraic expression.
Let the 'number' equal x.
4x-24= 60
Add 24 on both sides.
4x= 84
Divide both sides by 4.
x=21
The number is 21.
I hope this helps!
~kaikers
Use the Pythagorean Theorem to find the length of the line segment connecting (4,-6) and (9,-5). The change in x is 5 and the change in y is 1. Thus, the
hypotenuse is sqrt(5^2 + 1^2) = sqrt(26) (answer).
Answer:
160 in²
Step-by-step explanation:
20 * 16 / 2
if we wouldn't devide with 2, we would calculate the rectangle around the quadrilateral
Answer:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
Step-by-step explanation:
We know that the Hendricksons are in charge of bringing treats for 5050 football players.
They brought 33 coolers of popsicles and 22 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat.
We conclude that:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
