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
Answer:
5.8
Step-by-step explanation:
29/5=5.8
A a line parallel to one side of a triangle divides the other two sides
In his Imperium Naturae<span>, Linnaeus established three kingdoms, namely </span>Regnum Animale<span>, </span>Regnum Vegetabile<span> and </span>Regnum Lapideum<span>. This approach, the Animal, Vegetable and Mineral Kingdoms, survives today in the popular mind, notably in the form of the parlour game question: "Is it </span>animal, vegetable or mineral<span>?". The work of Linnaeus had a huge impact on science; it was indispensable as a foundation for </span>biological nomenclature<span>, now regulated by the </span>nomenclature codes<span>.</span><span>
But the system is based solely on physical characteristics, due to not having the proper technology to investigate the molecular data of animals</span>
Answer:
z = 69°
Step-by-step explanation:
The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.
- We can solve this question algebraically with the equation
Step 1: Combine like terms.
Step 2: Subtract 291 from both sides.
Step 3: Check if solution is correct.
Therefore, z = 69°.
Have a lovely rest of your day/night, and good luck with your assignments! ♡