Why do you always need to create an equation of a line

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

Answer:

D.

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

Answer: D.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3 of an hour is 1/3 × 60 minutes = 20 minutes.

no of pages for 1 hour = 3 × 18/11

54

----    =     4    9

                    ------

11                     11

hope this help :P

Answer:

im struggling as well

Step-by-step explanation:

Answer:

b = -9.5

Step-by-step explanation:

-3 (4b - 10) = 144

-12b + 30 = 144

       -30      -30

-12b = 114

/-12      /-12

b = -9.5

Hope this helps!

Answer:

Ok

Step-by-step explanation:

Answer:

That's not how you get brainliest haha

Step-by-step explanation:

You get brainliest when you answer a question. If the creator of the question thinks that your answer was great and it helped them, then they can mark it brainliest!

Hope this helps :)

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]

Answer:

Step-by-step explanation:

∠2, ∠3, and ∠4

Answer:

5, 6, 1

Step-by-step explanation:

Interior mean on the inside

Answer: 2n^2+3n-4

1st differnce is 3, 7, 11, 15

2nd differnce is 4

so its 2n^2

we compare it to teh 2n^2 sequence

2 8 18 32 50

-1 2 9 20 35

difference is 3, 6, 9, 12,15

so it is 3n-4

Answer:

Ok

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

You can draw the graph without lifting your pencil, so it is "continuous."

Rows, drinks, and books are all things that are counted. That is, their number takes on discrete values.

Time, on the other hand, is continuous--able to take on any value.

The graph best models distance as a function of time.

Answer:

For -4, the arrow from zero goes 4 points to the left. Add two more.

Step-by-step explanation:

Answer:

-4 + 2  = -2      and -4 + (-2) = -6

Step-by-step explanation:

-4 + 2  = -2  

On the number line,start at zero

Do 4 jumps to the left (you are at -4)

Then do 2 jumps to the right You are at -2

-4 + (-2) = -6

On the number line,start at zero

Do 4 jumps to the left (you are at -4)

Then do 2 more jumps to the left You are at -6

Answer:

m< s = 43

Step-by-step explanation:

77 + 2x + 3 = 6x (collect like terms)

80 + 2x = 6x (subtract 2x on both sides)

80 = 4x (divide both sides by 4)

20 = x

PLUG IN TO M<S

2(20) + 3

40 + 3

m<s = 43

Hope this helps ya! Keep smiling!

Answer:

k > 14/3

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Translate

"Three" = 3

"times" = multiplication

"a number k" = k

"is more than" = >

"14" = 14

Step 2: Set up inequality

3k > 14

Step 3: Solve for k

Here we see that any number k greater than 14/3, or 4.666..., will work as a solution.

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Answer:

60

Step-by-step explanation:

every 1 hour, he is going 60 miles

Answer:

5 bags

Step-by-step explanation:

Given

[tex]Granola\ Bars = 25[/tex]

[tex]Popcorn\ Balls = 35[/tex]

Required

Determine the greatest number of bags

This question illustrates greatest common factor (GCF).

The number of bags will be solved by getting the GCF of 25 and 35.

This is shown below:

[tex]25 = 1 * 5 * 5[/tex]

[tex]35 = 1 * 5 * 7[/tex]

[tex]GCF = 1 * 5[/tex]

[tex]GCF = 5[/tex]

Hence, Carlos will need 5 bags

Answer:

-3x is the answer I'm pretty sure I think

Answer:

Graph 1. y = 3x + 0 or y = 3x

Graph 2.  y = 3/-2x + 0 or y = 3/-2x

Graph 3.  y = -4x

Answer:

x/3 + 34

Step-by-step explanation:

The quotient of x and 3 would be written as x/3.

(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)

Answer:

This graph is not a function.

Step-by-step explanation:

For every x value, it has more than one y value. The graph also doesn't pass the vertical line test.

Answer:

Not a function

Step-by-step explanation:

It fails the vertical line test. 2 points can not cross on this test

Answer:

z = -10

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

Step 3: Check

Plug in z to verify it's a solution.

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

Answer:

z = -10

Step-by-step explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10

Answer:

Your answer is C) 1.92

Hope this helps ^_^

Answer:

Sales tax is $1.92 or 192 cents.

Step-by-step explanation:

Given the price of a DVD is $24.00 plus 8% sales tax.

we have to find the sales tax on this DVD in dollars and cents.

The sales tax is 8% can be calculated as

8/100 X $24

1.92

In cents

as one dollar equals 100 cents

∴ 1.92 dollar = $1.92 = 192 cents

Hence, sales tax is $1.92 or 192 cents.

So your answer is C!!

Answer:

Slope of p  =    -a/b

(0, b)  is on line  q

Slope of q  =  ( b - 0) / (0 - -a)  =   b/a

Product of the slopes  =  (-a/b) (b/a)  =  (-ab) /(ab)  =  -1

I hope this helps (: Have a whimsical day! lol

Answer:

6.3  repeating

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].

Answer:

[tex]x = \frac{54}{59}[/tex]

Step-by-step explanation:

I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.

So:

Remember PEMDAS

P – Parentheses

E – Exponents

M – Multiplication /D – Division  (whichever comes first from left to right)

A – Addition /S – Subtraction (whichever comes first from left to right)

Nothing needs to be distributed on the left side, so let's distribute the right side.

6(4x + 8)

6 * 4x = 24x

6 * 8 = 48

Now we have 24x + 48

83x - 6 = 24x + 48

Now, we must isolate the x so that in the end, we can get x =

83x - 6 = 24x + 48

+ 6                    +6

83x = 24x + 54

-24x           -24x

59x = 54

Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.

[tex]\frac{59x}{59} = \frac{54}{59}[/tex]

Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.

[tex]x = \frac{54}{59}[/tex]

~ [tex]InLoveWithPugs[/tex]

Moderator

Math Enthusiast

Answer:

30 feet tall

Step-by-step explanation:

The woman is 6 feet tall and her shadow is 3.5 feet tall, as is the flagpole's shadow is 17.5 feet tall making the flagpole 30 feet tall.

Equation: 6/3.5 = 1.74 x 17.5 = 30

I hope this helps.

Good luck!

(I rounded the 1.74 to two places)

Step-by-step explanation: Because i checked google :)

Answer:

[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]

Thank you ☺️