Find the length of side ab.

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Answer:

Step-by-step explanation:

First, set up the equation (2x+5) + (3x-2)+(3x)+(x)= 57. Add all of the sides together and solve for x. Next, plug in x to 2x+5, and you have your answer. I hope this helps

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In the diagram below, O is circumscribed about quadrilateral DEFG. What is

Nimfa-mama [501]

Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.

<h3>What is a supplementary angle?</h3>

A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:

Q + R = 180°.

In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:

x + 112° = 180°

x = 180° - 112°

x = 68°

Read more on supplementary angle here: brainly.com/question/12542846

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1 year ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

Alexandra [31]

Answer: y-axis.

Explanation:

The equation r = 3 - 4 sin θ may be graphed using cartesian coordinates (i.e. x and y) or polar coordinates.

The logical way is to graph in polar coordinates. I did it using a graphing software and obtained the attached graph.

Also, I attached the graph in cartesian coordinates.

Here you have a table that you can build by your self and use the pairs to draw the graph (either cartesian or polar coordinates).

 θ (rad) r = 3 - 4 sin θ 

0 3 
π/8 2.61731657 
 π/4 2.29289322 
3π/8 2.07612047
 π/2 2
 5π/8 2.07612047 
3π/4 2.29289322 
7π/8 2.61731657 
π 3 
9π/8 3.38268343 
5π/4 3.70710678 
11π/8 3.92387953 
3π/2 4 
13π/8 3.92387953 
7π/4 3.70710678 
15π/8 3.38268343 
2π 3 

In both of the attached graphs you can see that the left side is equal to the right side, but the upper side is not equal to the bottom side.

Therefore, the graph is symmetric about the y-axis.

7 0

3 years ago

Read 2 more answers

Given: F(x) = x + 2 and G(x) = 3x + 5 (F*G) (x) =

vovangra [49]

Answer:

$\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}$

Given:

$f(x) = x + 2 \\ \\ g(x) = 3x + 5$

To Find:

$(f \times g)(x) = f(x) \times g(x)$

Step-by-step explanation:

$= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10$