# 162:53:55AD and MN are chords that intersect at point B.A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.What is the length of line segment MN?4 units6 units18 units24 units

Step-by-step explanation:

18

Step-by-step explanation:

edg B)

## Related Questions

Give a ballpark estimate of the number of seats in a typical major league ballpark

The smallest is 31,000; the largest is 56,000. A "typical" stadium might hold about 43,000 spectators.

A typical major league ballpark can seat anywhere from 30,000 to 50,000 spectators on average.

### Explanation:

A typical major league ballpark has a capacity ranging between 30,000 to 50,000 seats on average. This ballpark estimate is based on the capacities of a multitude of major league stadiums throughout the United States.However, the exact number can vary greatly depending on the specific design and configuration of each ballpark. Some are designed to accommodate large crowds for popular events, while others are smaller for more intimate settings. It's also worth noting that the number of seats can be changed for different events, such as concerts or other sports. This estimate gives you a general idea of the capacity of a major league ballpark but keep in mind the numerous variables that can affect the final number.

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The domain is all real numbers expect -2, and the domain is -4 to 4 expect 2.

Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What is the length and width?

Area of rectangle =

Length of rectangle = 14 m

Width of rectangle = 14 m

Step-by-step explanation:

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function has a point of maxima at if

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

Also, perimeter of rectangle is equal to 56 m.

So,

Let A denotes area of rectangle.

A = length × width

Differentiate with respect to x

Put

Also,

At x = 14,

So, x = 14 is a point of maxima

So,

Area of rectangle:

Length of rectangle = 14 m

Width of rectangle = 14 m

Solve for x: x^2 + 14x + 49

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

How to solve -2x-10x12=18

x  =  −69

Step-by-step explanation:

1: Simplify

−2x−(10)(12)=18

−2x+−120=18

−2x−120=18

2: Add 120 to both sides.

−2x−120+120=18+120

−2x = 138

3: Divide both sides by -2.

-2x ÷  -2 = 138 ÷  -2

x = −69

x=-69

Step-by-step explanation:

Choose the missing number. 36 x ____ = 7,200