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:
Piper traveled 115 miles for 6 hours.
Step-by-step explanation:
We just add the amount of distance that Piper traveled together, so "55+60 = 115 miles" and then we add the amount of time it took to travel that distance. So "3.5 + 2.5 = 6 hours".
Answer:
I think it would be a <em>#Number</em>
Step-by-step explanation:
Answer:
The pair of shoes equal 18.
The boat equals 3
The chair equals 4
Step-by-step explanation:
Let x = shoes
You found the palm trees!
So the top picture would be
18 + x = 2x Subtract x from both sides
18 = x We found the value of the shoes.
Let's go so the last picture. We now know the shoes.
Let x = the boat now
18 = 6x Divide both sides by 6
x = 3 We found the value of the boat.
Finally, let's look at the second picture.
Let x = the chair now
3 + x = 7 Subtract 3 from both sides
x = 4 We found the value of the chair.
