I think the answer is 8?
Step-by-step explanation:
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:
brainly.com/question/10128640
#SPJ1
The answer is 50/49 via fraction calculator
Answer: One bag of peaches : $22
Step-by-step explanation:
Hi, to answer this question we have to write an equation for William and Sylvia.
- <em>William: 2 p + 3 a = 17
</em>
- <em>Silvia: 4p + 2 a =22
</em>
Where:
p = price of one bag of peaches
a= price of one bag of apricots
Solving for "a" in William's equation:
2p +3a =17
3a = 17-2p
a = (17-2p)/3
a= 17/3 -2/3 p
Replacing "a" in Silvia's equation
4p + 2 a =22
4p + 2 (17/3 -2/3p) =22
4p +34/3-4/3p =22
4p-4/3p =22-34/3
8/3 p =32/3
p =32/3 ÷8/3
p=4
The least common multiple is the smallest multiple of the given numbers that is a common multiple for all the numbers being compared.
We have to divide the numbers by numbers that are divisible
15,12
Divide both by 3 -15/3 =5. 12/3 =4
5 and 4 aren’t divisible by any common numbers, we take them as it is
L.C.M = 3*4*5 = 60
Answer is 60
