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lara31 [8.8K]
3 years ago
14

How are adjacent angles and vertical angles alike? Please help me.

Mathematics
1 answer:
vekshin13 years ago
6 0

Vertical angles are angles that are the same (for example >< since they're the same). Adjacent angles are angles that share a side with another angles, such as \|, since they are sharing on angle that connects the two.

Now that you know what each is, you can tell that they are similar because <em>they both have something in common</em>. When dealing with vertical angles, you can tell that they are the same thing, meaning they each share the whole shape of the angle. Adjacent angles share one whole line together; therefore, showing you that both have a line in common.

           adjacent angle              A        <em>they both share angle A.</em>

                                                   |

                                                   |

                                        B____|________C

vertical angle      <em>they both share the same shape; they have four lines, and they also share angle C</em>

a           b

\           /

 \        /

   \     /

C  \/

     /\

   /    \

 /        \

/D          \E

hope this helps :)

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natta225 [31]

Answer:

f * g)(x)=(5x^3)*(x+1)=5x^4 +5x^3

Step-by-step explanation:

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3 years ago
What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
agasfer [191]

Answer:

y = \frac{2}{5} x + \frac{4}{5}

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = \frac{-3-2}{0-(-2)} = \frac{-5}{0+2} = - \frac{5}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{5}{2} } = \frac{2}{5} , then

y = \frac{2}{5} x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = \frac{6}{5} + c ⇒ c = 2 - \frac{6}{5} = \frac{4}{5}

y = \frac{2}{5} x + \frac{4}{5} ← equation of perpendicular line

7 0
2 years ago
An irregular solid with a mass of 45.0 g was dropped into and sank to the bottom of a graduated cylinder containing water. The i
Law Incorporation [45]
The answer is 2.25g/ml or 2.25 g/cm³

To do this, you need to know the formula of density. Density is the mass per unit of volume. 

D= \frac{M}{V}

Where:
D = Density
M = Mass
V = Volume

You already have your mass, which is 45.0g, so what is your volume?

A graduated cylinder measures the volume of liquids. The procedure that was done here is called the displacement method. You can get an estimated volume of an irregular object by subtracting the initial volume from the final volume. 

In this case, it would be:

<span>70.0mL - 50.0mL = 20.0 mL
</span>

The volume is then 20.0mL. 

Now that we have the volume we can solve for density. 

D= \frac{45.0g}{20.0mL}

D= 2.25\frac{g}{mL}

Now take note that 1mL = 1cm³. So you can also express the answer as

2.25g/cm³.

4 0
4 years ago
Describe the slope of the line<br><br> Find the slope.<br><br> m =
spin [16.1K]

Answer:

m = -3/5

Step-by-step explanation:

Since the line is going downwards towards the right, it is a negative slope.

We can use the points to solve for the slope.

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m = -2 - 1 / 2 + 3

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Therefore, the slope is -3/5.

4 0
3 years ago
What are the first four terms in the sequence generated by the formula? an=n^2+2n+1
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Given the formula:

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First term:

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Second term:

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Third term:

a_3=3^2+2(3)+1=9+6+1=16

Fourth term:

a_4=4^2+2(4)+1=16+8+1=25

Answer: the first four terms are: 4, 9, 16 and 25

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