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Answer:

Angles vertically opposite to each other are equal.

Step-by-step explanation:

There are two lines AB and CD intersecting at point O making angles 1 ,2,3 and 4.

The angles 1 and3  , angles 2 and 4 are vertically opposite angles.

Now consider the line AB

<1 + <2= 180 degrees--------- eq A

Now consider the line CD

<2+ <3= 180 degrees-----------eq B

As both equations are equal

< 1+ <2= <2+ <3 = 180 degrees

or

< 1+ <2= <2+ <3     or

< 1=  <3                           subtracting <2 from both sides

Now consider the line BA

<3+ <4= 180 degrees--------- eq C

Now consider the line DC

<4+ <1= 180 degrees-----------eq D

As both equations are equal

< 3+ <4= <4+ <1 = 180 degrees

or

< 3+ <4= <4+ <1    

or

< 3=  <1                           subtracting <4 from both sides

This holds true for all vertically opposite angles that they are equal.

These can be measured with a protractor.

This can also be proved that if we add angles 1,2,3 and 4 we will get 360

and if we subtract  angles 1 & 2 from 360 we will get 180 degrees which angles 3&4 make together.

<1+<2+<3+<4= 360 degrees

But <1 +<2= 180  

360 - [ <1+<2] = 180 degrees

<3 +<4= 180  

<1 +<2= <3 +<4= 180  

Answer:

f

Step-by-step explanation:

because math

Answer:

E. It cannot be determined

Step-by-step explanation:

Well, based on trying to find e, there is no way to determine the value, therefore the answer is e, it cannot be determined.

Answer:

18 sides?

Step-by-step explanation:

((n-2)180)/n=160

160n=180n-360

20n=360

x=18

Answer:

b

Step-by-step explanation:

Answer:

F = N + 2

Step-by-step explanation:

2 bases (N) + N side parallelograms (or Rectangles)

Answer:

y=-1x+0.5

Step-by-step explanation:

First calculate the slope of the line=y2-y1/x2-x1

Take any two points

1-3/2-1

-2/1

slope=-1

y=mx+c (equation for line)

Take any point and figure the value of c

1=-1x2+c

1/-2=c

c=0.5

y=-1x+0.5

Answer:

5 quarts is 1.25 gallons

Step-by-step explanation:

why did u ask the same question 3 times... i legit looked this up on go.ogle but ok

Answer:

x=-4

Step-by-step explanation:

Divide 3 on both sides since you use the inverse to cancel out each other but you need to do it on both sides to make the equation balance.

3 divided by 3x is x

3 divided by -12 is -4

x=-4

Answer:

Quadrant 4

Step-by-step explanation:

Quadrant 1: Positive x and Positive y

Quadrant 2: Negative x and Positive y

Quadrant 3: Negative x and Negative y

Quadrant 4: Positive x and Negative y

For point (15, -7), we have a Positive x and a Negative y so it belongs in Quadrant 4.

The quadrant the given point (15,-7) lie is fourth  quadrant.

The first quadrant in Cartesian coordinate is given as;

= (x, y)

The second quadrant in Cartesian coordinate is given as;

= (-x, y)

The third quadrant in Cartesian coordinate is given as;

= (-x, -y)

The fourth  quadrant in Cartesian coordinate is given as;

=(x, -y)

(15,-7) corresponds to (x, -y)

Thus, the quadrant the given point lie is fourth  quadrant.

Learn more here: https://brainly.com/question/16834380

Answer: $66.20; close

Step-by-step explanation:

The down arrow indicates the stock price has decreased from yesterday’s price of $ 66.20  at the close of the market day.

Answer:

The answer will be -24 :))

Answers did you ever get this awnser??

Step-by-step explanation:

Answer:

D.) The average height temperature in Antarctica in January is 15° F below zero

Step-by-step explanation:

Answer:

[tex]x = 2 \: or \: \frac{ - 1}{6} [/tex]

Step-by-step explanation:

Lets open the brackets.

[tex]6 {x}^{2} - 12x + x - 2 = 0[/tex]

Now lets factorise it.

[tex] = > 6 {x}^{2} - 12x + x - 2 = 0[/tex]

[tex] = > 6x(x - 2) + 1(x - 2) = 0[/tex]

[tex] = > (x - 2)(6x + 1) = 0[/tex]

Here x will have two values.

1) [tex]x - 2 = 0[/tex]

[tex] = > x = 2[/tex]

2) [tex]6x + 1 = 0[/tex]

[tex] = > 6x = - 1[/tex]

[tex] = > x = \frac{ - 1}{6} [/tex]

Answer:

(2,3)=(-2,-1,5)

Step-by step explanation:

Answer:

6. J(-1, 3), K(3, 1), L(2, 5)

7. J(4, 0), K(0, -2), L(1, 2)

Step-by-step explanation:

Do simple arithmetic for the translations.

For the reflections, use a graphing calculator.

600 ............................................................................,...............................

Given:

The equation is

[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]

To find:

The length of the line segment AC.

Solution:

We have,

[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]

[tex]1.428148=\dfrac{15}{b}[/tex]

Multiply both sides by b.

[tex]1.428148b=15[/tex]

Divide both sides by 1.428148.

[tex]b=\dfrac{15}{1.428148}[/tex]

[tex]b=10.50311[/tex]

[tex]b\approx 10.503[/tex]

In a triangle ABC, the line of line segment AC is b. So,

[tex]AC\approx 10.503[/tex]

Therefore, the length of the line segment AC is 10.503 units.

Answer:

y=7.5x

Step-by-step explanation:

Answer:

the answer is 27 mi.

Step-by-step explanation:

45 * 0.60 = 27

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10 x 2 = 20

Answer:

27

Step-by-step explanation:

Well, if the mean of 12 people is 26, you can imagine those 12 people are 26, so 26*12=312. Next, you do the same for the 4 men, so 29*4=116. Then you add those 2 numbers together, to get the total of 428. Divide that by the total amount of people in the office which is 428/16=26.75. Rounding up (because the decimal starts with a number above 5) you get that the average age is 27.

Answer:

a = 5.5

Step-by-step explanation:

Let the expression be written as;

Given 1/2 = a/11, find a

Cross multiply

1×11 = 2×a

11 = 2a

a = 11/2

a = 5.5

Answer:

a. yes

b. no

c. no

d. no

e. yes

Step-by-step explanation:

Here, we want to answer yes or no for each of the numbers

a) Yes

If we compare with the general form

y = mx + b

m

is slope and b is y-intercept

so, 2 is slope and 3 is y intercept; so 3 in y-intercept is (0,3)

b. No

This is the point-slope form we are trying to

get

Evaluating this, we have that

y-3 = 2x - 6

y = 2x-6 + 3

y = 2x-3

c) NO

Just insert the values and check here

-1 = 2(5) + 3

it does not work

d) No

Substitute

-4 = 2(-5) + 3

e) Yes

This is the point-slope form

y + 3 = 2x + 6

y = 2x + 6-3 = 2x + 3