If two lines are perpendicular to each other, do they lie in the same plane?

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76 degrees and 47 degrees?

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

To find D and E use the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then

D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and

let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then

E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )

Use the slope formula to find slopes of DE and BC

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then

[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then

[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Since the slopes are equal then DE and BC are parallel lines

Answer:

6 tiles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I took the test ;)

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

To find:

The value of [tex]tan60^\circ[/tex] = ?

Solution:

Kindly consider the equilateral [tex]\triangle ABC[/tex] as attached in the answer area.

Let the side of triangle = [tex]a[/tex] units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = [tex]\frac{a}{2}[/tex]

Using Pythagorean Theorem in [tex]\triangle ABD[/tex]:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

Side AD = [tex]\frac{\sqrt3}{2}a[/tex]

Using Trigonometric ratio:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanB = \dfrac{AD}{BD}[/tex]

Putting the values of AD and BD:

[tex]tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}[/tex]

Answer:

x= 3/2   and  4

Step-by-step explanation:

Use this method to solve;

First get the multiples of   12:    -1, -12   -2, -6    -3, -4 (we use negatives, because we need a positive 12, and a negative 11).

Next, set it up like this:  (2x - )   (x-  ).

Then plug in (2x-3)  and (x -4), and use rainbow to double check.

Then take 2x-3=0    and   x -4 =0 to get x.

2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.

Then do the same with x-4=0, add 4 to both sides leaving x= 4.

Answers are x= 3/2   and 4.

Answer:the x intercept is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= 0.079

y=-0.169

Answer: x= 0.079

y=-0.169

Step-by-step explanation:

Answer: c) perpendicular

Perpendicular slopes always multiply to -1. This is assuming neither line is vertical.

Answer:

FRACTION         DECIMAL                   PERCENT

3/100                   0.03                              3%

3/2                         1.5                                150%

13/20                    0.65                             65%

2/3                       0.6667                          66.67%

Answer:

sorry I don't know 2...

But first I can tell....

Step-by-step explanation:

circumference = 220m

To Find :- It's diameter and it's radius...

Solution:-

circumference of circle = 2*pi*r

pi=22/7

220 = 2*22/7*r

220 = 44r/7

220*7 = 44r

1540 = 44r

r = 1540/44

r = 35m....

d = 35*2

d = 70m...

Hence, Diameter of circular field is 70m and radius is 35m

Answer:

Length=3x^3+6x^2+10x+10

Step-by-step explanation:

given that the area A of a rectangle is A=L*W, we can find length L=A/W

Answer:

ummm there's no question dude but it's good to know that because i never knew that

Step-by-step explanation:

...

Answer:

C. 2d+3=12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

24        X

----  =   ----          than cross multiply and solve for X

30       100

Answer:

I am not sure I this one but The answer is efither B or D

Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.

Answer: 29$

You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)

The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.

Then the price to rent a bike for 5 hours will be given as,

p(5) = 14 + 3(5)

Simplify the equation, then we have

p(5) = 14 + 15

p(5) = 29

The price to rent a bike for 5 hours will be $29.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

[tex]L" = (-6,0)[/tex]   [tex]M" = (-8,-6)[/tex]   [tex]N" = (-4,-2)[/tex]

Step-by-step explanation:

Given

[tex]L = (0,3)[/tex]

[tex]M = (3,4)[/tex]

[tex]N = (1,2)[/tex]

Required

Determine the new coordinates of L, M and N

Applying (a): 180 degrees rotation about the origin

When [tex](x,y)[/tex] is rotated about 180 degrees, the new point becomes [tex](-y,-x)[/tex]

So:

[tex]L = (0,3)[/tex] ==> [tex]L' = (-3,0)[/tex]

[tex]M = (3,4)[/tex] ==> [tex]M' = (-4,-3)[/tex]

[tex]N = (1,2)[/tex] ==> [tex]N' = (-2,-1)[/tex]

Applying (b): Dilation of scale factor, 2

The formula to apply here is;

[tex]New = Old * Scale\ Factor[/tex]

So:

[tex]L' = (-3,0)[/tex] becomes:

[tex]L" = L' * 2[/tex]

[tex]L" = (-3,0) * 2[/tex]

[tex]L" = (-6,0)[/tex]

[tex]M' = (-4,-3)[/tex] becomes:

[tex]M" = M' * 2[/tex]

[tex]M" = (-4,-3) * 2[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N' = (-2,-1)[/tex]

[tex]N" = N' * 2[/tex]

[tex]N" = (-2,-1) * 2[/tex]

[tex]N" = (-4,-2)[/tex]

Hence;

The new coordinates are:

[tex]L" = (-6,0)[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N" = (-4,-2)[/tex]

Answer:

Linear.

Step-by-step explanation:

A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!

Answer:

can u help me with sum I'll help u

Answer:

4/7 is already in lowest terms

Answer:

Step-by-step explanation:

A=  a+b/2 h (area = a +b over 2 times H) plug in your numbers

I dont have a picture, if i did i could solve it, but here is the formula

Answer:

63.84

Step-by-step explanation:

Answer:

63.84

Step-by-step explanation:

Multiply both numbers without the decimal point then move the decimal point 2 places to the left.

Answer: The fact that beyblades spin at different speeds, you may want to get one that is fast while staying in control. Some have more mass than others leading them to spin slower, but the fact that they weigh so much may cause the other one to richochet off of it. Therefore get a big but fast beyblade that is very stable.

Answer:1. Takara Tomy Beyblade Burst B-148 Heaven Pegasus.

Step-by-step explanation:

Answer:

I agree with both of them because they are both correct

Step-by-step explanation:

See attachment for complete question;

Slope (m) is calculated using the following formula:

[tex]m = \frac{Rise}{Run}[/tex]

Where

[tex]Rise = Vertical\ Distance[/tex]

[tex]Run = Horizontal\ Distance[/tex]

From the attachment, we have the following:

Triangle A

[tex]Rise = 6\ units[/tex]

[tex]Run = 4\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{6}{4}[/tex]

In this case, Mai is correct:

Triangle B

[tex]Rise = 1.5\ units[/tex]

[tex]Run = 1\ units[/tex]

So:

[tex]m = \frac{Rise}{Run}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5[/tex]

In this case, Elena is also correct:

Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

Answer:

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Step-by-step explanation:

Podemos reescribir esta pregunta como sigue: ¿Cuántos números entre 95 y 450 son divisibles por 36? Entonces, existe un conjunto de números enteros [tex]A[/tex] tal que cada elemento satisface la condición que:

[tex]A = \{x= \frac{n}{36}\,\land \,95\le n \le 450, n, x\in \mathbb{Z}\}[/tex] (1)

Sabemos que el entero más pequeño divisible por 36 es:

[tex]x_{min} = \frac{108}{36}[/tex]

[tex]x_{min} = 3[/tex]

Mientras que el entero más grande divisible por 36 es:

[tex]x_{max} = \frac{432}{36}[/tex]

[tex]x_{max} = 12[/tex]

La cantidad de enteros divisibles se obtiene a través de la siguiente expresión algebraica:

[tex]a = 1+(x_{max}-x_{min})[/tex] (2)

[tex]a = 1+(12-3)[/tex]

[tex]a = 10[/tex]

Hay 10 enteros divisibles por 4 y por 9 entre 95 y 450.

Answer:

9

Step-by-step explanation:

because thats the answer i just did the quiz

have a good day

The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9

Given the quadratic equation

(x+2)^2=a

If one of the solution is 1, then x = 1

substitute

(1 + 2)^2 = a

3^2 = a

a = 9

Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9

Learn more on quadratic equation here:https://brainly.com/question/1214333

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

When you use the substitution method you need to plug a value into the corresponding variable of another equation.

In this occasion,"-6y-7" can be plugged into the x of "16x-4y=18" because it represents the x.

16(-6y-7)-4y=18

Distribute 16 into the parentheses

-96y-112-4y=18

Combine like terms

-96y-4y-112+112=18+112

-100y=130

Divide by -100 to get y by itself

y=-1.3 or -13/10

Now plug the y into any equation...I chose "x = -6y - 7​" but it doesn't matter

x= -6(-1.3)-7

x=-14.8 or 4/5

Answer:

Step-by-step explanation:

1. 16x-4y=18

4x-9/2:2x+9/8

4x-9/2:m=4

y=4x-9/2

2. x=-6y-7

1/6x-7/6:-6x-7