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2 years ago

In the diagram, PN is the perpendicular bisector of AB and is also the angle bisector of

1 answer:

7 0

The perpendicular bisector is a line segment that is drawn from a vertex of an angle to the midpoint of another line segment creating a right triangle or a 90° angle in the process. Suppose AB is the base segment of the triangle, therefore the perpendicular sector is also the angle bisector of the other angle of the triangle, supposedly angle C. Angle bisector is a line segment that divides the angle into two equal parts. Imagine a line drawn from the top vertex C extended down to the midpoint of line AB. That is the perpendicular and angle bisector.

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Help solve these algebraic fractions please with explanation would be great <3

sineoko [7]

Answer:

7/ Ans;

$\frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4}$

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9/Ans;

$\frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4}$

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In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

5 0

1 year ago

Write 32 as a number with an exponent by using 2 as the base

timurjin [86]

2^5 ... 2 x 2 x 2 x 2 x 2

6 0

2 years ago

Draw a line through the origin that has a slope of 4/3

Ket [755]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the given line represent a proportional relationship, because passes through the origin

we have

$k=\frac{4}{3}$ ---> the constant of proportionality k is equal to the slope

substitute

The linear equation is

$y=\frac{4}{3}x$

To draw a line we need two points

we have (0,0)

To find the other point

assume x=3 and substitute in the equation to solve for y

$y=\frac{4}{3}(3)=4$

The other point is (3,4)

using a graphing tool

Plot the points (0,0) and (3,4)

To graph the line join the points

see the attached figure

6 0

2 years ago

What is the value of x

Lostsunrise [7]

Answer: your answer is 36.3 cause it's half of 72.6.

Step-by-step explanation:

7 0

2 years ago

A manufacturing firm wants to package its product in a cylindrical container

IRINA_888 [86]

To solve the problem above, we will be using the equation in solving the surface area of a cylinder which goes. A = 2pi r^2 + 2pi r h, A is for the surface area, pi is 3.1416; h is the height and r is the radius. Basing on this formula the radius will be 0.3982 ft both top and bottom.

7 0

2 years ago