All categories

2 years ago

PLEASE HELP!!! I will give brainliest pleasee help. each question has to be solved, there are no options for answers.

Mathematics

1 answer:

Juliette [100K]2 years ago

8 0

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

You might be interested in

Consider −75/3. Which TWO statements are correct?

kiruha [24]

B.) the quotient is -25

3 0

3 years ago

Read 2 more answers

Rule: start at 17.3 add 0.9 please help

ra1l [238]

17.3, 18.2, 19.1, 20

6 0

3 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

1 year ago

How many times as many people live in China than in the United States

Nataly [62]

47,583. China has 1.325 billion and the United States has 0.304.
I hope this helps!

3 0

3 years ago

Melanie is using the spinner to play a card game. The spinner has six sections of equal size. take 2 cards play a card take 3 ca

LenaWriter [7]

Answer:

It will be 2/3

Step-by-step:

It will be 2/3

5 0

3 years ago