Select the most precise and correct definition of parallel lines from among those that are given.

A.Two distinct lines are parallel if they are in the same plane and never intersect each other.

b.Two distinct lines are parallel if they point in the same direction.

c.Two distinct lines are parallel if one can be rotated to sit on top of the other.

Answer:

1) ML=93

2) GE=58

Step-by-step explanation:

1)

We want to find ML.

So, we need to find x first.

Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:

[tex]NM+ML+LK=NK[/tex]

And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:

[tex](110+4x)+(x+103)+(70)=x+243[/tex]

On the left, combine like terms:

[tex](4x+x)+(110+103+70)=x+243[/tex]

Add:

[tex]5x+283=x+243[/tex]

Subtract 283 from both sides:

[tex]5x=x-40[/tex]

Subtract x from both sides:

[tex]4x=-40[/tex]

Divide both sides by 4:

[tex]x=-10[/tex]

So, the value of x is -10.

Substitute this into ML to find it. So:

[tex]ML=(-10)+103[/tex]

Add:

[tex]ML=93[/tex]

And we're done!

2)

Here, we want to find GE. This means solving for x again.

Note that HF plus FE equates to the entire segment.

HG plus GE also equates to the entire segment.

Thus:

[tex]HF+FE=HG+GE[/tex]

Substitute 3x-129 for HF and 4 for FE.

Substitute 13x-993 for HG and 3x-185 for GE. Thus:

[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]

Combine like terms on both sides:

[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]

Add or subtract:

[tex]3x-125=16x-1178[/tex]

Add 1178 to both sides:

[tex]3x+1053=16x[/tex]

Subtract 3x from both sides:

[tex]1053=13x[/tex]

Divide both sides by 13:

[tex]x=81[/tex]

So, the value of x is 81.

To find out GE, GE is the 3x-185. So:

[tex]GE=3(81)-185[/tex]

Multiply:

[tex]GE=243-185[/tex]

Subtract:

[tex]GE=58[/tex]

And we're finished!

Answer:the first one is x=87

The second one is x =8

Step-by-step explanation

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

Answer:

(x^2) + (-1)

Step-by-step explanation:

the equation f(x) BECOMES x in the g(x)

x-1

(x^2) -1

Answer:

g(f(x)) = x^2 + (-1)

Step-by-step explanation:

f(x) = x^2

g(x) = x - 1

Therefore, for g(f(x)), we need to substitute the value of x in f(x) in g(x).

Therefore,

g(x) = (x^2) - 1

      = (x^2) + (-1)

Answer:

Your answer is 2 gallons

Step-by-step explanation:

Answer:

  34.224

Step-by-step explanation:

C(2.76, 310) means you want to evaluate the expression for g=2.76 and d=310. Put those numbers where the variables are and do the arithmetic.

  [tex]C(2.76,310)=\dfrac{2.76\cdot 310}{25}=\dfrac{855.6}{25}=\boxed{34.224}[/tex]

Answer:

(-3.5,6.5)

Step-by-step explanation:

See the photo for step-by-step explanation

Answer:

(6.5,1.5)

Step-by-step explanation:

1361/2500 or 54.44%.

Answer:

49/90

Step-by-step explanation:

x=0.5444....

10x=5.4444....

1x=0.5444....

9x=4.9

x=4.9/9

x=49/90

hope it might help you

Answer:

12x+12

Step-by-step explanation:

first you distribute  the 6 into the parenthesis.

so it becomes:

12x+18-6

Then you solve the common terms:

12x+12

& thats your answer!

Answer:

12x +12

Step-by-step explanation:

6(2x +3) - 6

12x +18 - 6

12x +12

Answer:

3

Step-by-step explanation:

2(7y−1)=40

14y-2=40

14y=40+2

14y=42

y=3

please mark as brainliest

Answer:

Tienes 3 números, "x", "y", "z"

=> El primero es 20 unidades menor que el segundo:

El primero es "x", y el segundo es "y", entonces:

x = y - 20

=> El tercero es igual a la suma de los dos primeros:

El tercero es "z", entonces:

z = x + y

z = (y - 20) + y

z =  2y - 20

=> Entre los tres suman 120

x + y + z = 120

y - 20 + y + 2y - 20 = 120

4y - 40 = 120

4y = 160

y = 40

Si y = 40, entonces:

x = y - 20

x = 20

Además, z = 2y - 20

z= 60

RPTA:

x=20

y=40

z=60

Step-by-step explanation:

Answer:

(Negative 6) (4) + (negative 6) (two-thirds

Answer:

sin22=x/11

0,374×11=x

x=4,12

Step-by-step explanation:

Answer:

C. An = 5(2)^n-1

Step-by-step explanation:

Tower 1 2 3 4 5

Number of blocks 5 10 20 40 80

Where,

n = tower number

An = number of blocks

A. an = n + 80

B. an = 2n + 5

C. An = 5(2)^n-1

D. an = 10(5)^n

Checking all options

A. An = n + 80

When n = 1

An = 1 + 80

= 81

B. An = 2n + 5

When n = 1

= 2(1) + 5

= 2 + 5

= 7

C. An = 5(2)^n-1

When n = 1

= 5(2)^1-1

= 5(2)^0

2^0 = 1

= 5(1)

= 5

D. An = 10(5)^n

When n = 1

= 10(5)^1

5^1 = 5

= 10(5)

= 50

The explicit formula which correctly represents the number of blocks, an, in terms of the tower number, n is C. An = 5(2)^n-1

Answer:

C

Step-by-step explanation:

I took the map test

Answer:

16

Step-by-step explanation:

48/3=16

16/2=8

8+8=16

I don’t think this is algebra 2 but ok

37

I used the formula (32°F − 32) × 5/9 = 0°C (but ofc replaced the numbers with 99)

Yeah and i rounded 98.6 to 99. 99 Fahrenheit is 37.2222... so i rounded it down to 37. So i think the answer is 37.

Answer:Joni should have multiplied by 1,000

Step-by-step explanation:

vickiesmith Beginner       1 answer

Answer:Joni should have multiplied by 1,000

Answer:

x+7

Step-by-step explanation:

dfghvnskdfcnvskdfc

Step-by-step explanation:

6(x-4)+x=5(x-2)

First we combine like terms.

6x-24+x=5x-10

7x-24=5x-10

-5x      -5x

2x-24=-10

   +24=14

2x=14

/2   /2

x=7

Sorry if it's wrong

Answer:

it is none of these options

Step-by-step explanation:

after multiplying it by 1,2 or 3 none of the option comes up

..

Answer:

what are the #

Step-by-step explanation:??

Answer:

98°

Step-by-step explanation:

105-7=98

Answer:

-5

Step-by-step explanation:

-9c - 15 + 7c + 10 + 2c

-9c + 7c + 2c -15 + 10

-9c + 9c - 5

-5

Answer:

5

Step-by-step explanation:

-9c - 15 + 7c + 10 +2c

-9c + 9c + -15 + 10

5

Answer:

y=-5

Step-by-step explanation:

It must contain (6, -5). Therefore, I went the easy way and created a line that has y = -5 no matter what x is. You can put 0x-5 if you want to make sure the independent variable is x.

Step-by-step explanation:

Hey there!!!

Here,

The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).

Now,

Using midpoint formulae,

[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]

Put all values.

[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]

As they are equal, equating with their corresponding elements we get,

[tex] - 3 = \frac{ - 8 + x}{2} [/tex]

Simplify them.

[tex] - 6 = - 8 + x[/tex]

[tex]x = - 6 + 8[/tex]

Therefore, x= 2

Now,

[tex] - 3 = \frac{ - 2 + y}{2} [/tex]

Simplify them.

[tex] - 6 = - 2 + y[/tex]

[tex]y = - 6 + 2[/tex]

Therefore, y = -4.

Therefore, the coordinates of B are (2,-4).

Hope it helps...

Answer:

8

Step-by-step explanation:

+2-(-6)=2+6

the two negatives cancel each other out

2+6=8

Answer:

8

Step-by-step explanation:

2- -6

change subtraction sign to addition

2+-6

change negative sign to positive

2+6

solve

8

Answer:

57

Step-by-step explanation:

Divide 342 by 6

342/6=57

each basket will hold 57 potatoes!

I hope this helps :)