What is the equation of the line parallel to the line with the equation −x+3y=−3
that passes through the point (1, –6)

Answer:

x = 10

y = 5

Angle 1: 80 degrees

Angle 2: 45 degrees

Angle 3: 100 degrees

Angle 4: 35 degrees

Angle 5: 35 degrees

Angle 6: 45 degrees

Angle 7: 100 degrees

Step-by-step explanation:

Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.

To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.

(3x+5)+(5x-5)+100=180

(3x+5)+(5x-5)=80

8x=80

x=10

Now plug x in to solve for angle 5 and 6

3(10)+5 = 35.   Angle 5

5(10)-5 = 45.   Angle 6

Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.

(angle 2)+35 = 80

(angle 2) = 45 degrees

(angle 4)+45 = 80

(angle 4) = 35 degrees

To solve for y, set angle 7 equal to 100 degrees:

100 = y^2 + 15y

100 = y(y+15)

y = 5

Answer:

what u will recieve

Step-by-step explanation:

please telle

Answer:

x=9 y=3

Step-by-step explanation:

because 5x+9=6x and 6y-1=3y+8

x=9 y=3

branlist please

Step-by-step explanation:

Assuming that the total stamp is x

According to the question

Izzati's stamps is 1/4

Ailing's number of stamps is 1/8

X= 1/4 x 1/8 = 5/8 - the remaining stamps.

Rina’s number of stamps is 7/10 x 5/8 = 35/80 x

5/8 x 35/80 = 15/80 - (Susan's stamps)

According to the question

15/80 = 42

X: 224

the total number of stamps originally is 224.

Answer:

The max is 85F

The min is 75F

Step-by-step explanation:

Happy To Help :)

Answer:

A

2,3     3,4.5    5,7.5

B

every 1:1.5

C

3,4.5   4,6   5,7.5

Step-by-step explanation:

because this is eqauling to all of the numbers

Answer:

The slope of the parallel line is -3/2

Step-by-step explanation:

Calculate the slope using rise over run then simplify.

-6/4 , -3/2

Answer:

14-inch

Step-by-step explanation:

let the length of shorter piece be x

x+3x=56

4x=56

x=56/4

x=14

Answer: 8

Step-by-step explanation:

The 4 times of the number 8 results to 32.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

32 is 4 times as much as what number

let the number be x.

So, 4 times of x = 32

4x = 32

Divide both side by 4.

4x/4 = 32/4

x= 8

Hence, the 4 times of the number 8 results to 32.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ3

Answer:

A.54

Step-by-step explanation:

because 162 divided by 3 equal 54.3

Explanation:

The slope of any vertical line is always undefined. This is because [tex]\text{slope} = \frac{\text{rise}}{\text{run}}[/tex], and the "run" portion is 0. The run represents the change in x, but we don't have a change in x for vertical lines. The x value is always some constant.

So this is why the run is 0, and it leads to a division by zero error, causing an undefined slope.

Answer:

12

Step-by-step explanation:

-2x + 7=5

or, 7-5=2x

or, 2=2x

or, 2/2=x

or, 1=x

Then,

7x+5

=7×1+5

=7+5

=12

Answer:

x=1

Step-by-step explanation:

-7 both sides that will give you -2

-2x=-1 divide by -2 and u will get on i think that what you were asking

Answer: if you meant: 125, 729, 225, 512.

The answer is 225

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] = 5

[tex]\sqrt[3]{729}[/tex] = 9

[tex]\sqrt[3]{512}[/tex] = 8

[tex]\sqrt[3]{225}[/tex] = 6.08220199557

The relationship between the cost charged for the daily boarding of dogs

by the kennel is a directly proportional relationship.

The correct responses are;

1. The dog kennel charges $60 per day is; False

Correct statement; The dog kennel charges $30 per day

2. The equation y = 30·x can represent the graph; True

3. It costs $200 to board a dog for 7 days is; False

Correct statement; It costs $210 to board a dog for 7 days

4.The graph will contain the coordinate point (9, 270); True

Reasons:

Points on the graph of the given graph of the Cost to Number of days are;

(2, 60), (4, 120)

The slope of the graph is [tex]m = \dfrac{120 - 60}{4 - 2} = 30[/tex]

Equation of the graph is therefore; y - 60 = 30·(x - 2)

Which gives;

y  = 30·x - 2×30 + 60 = 30·x

The equation of the graph is; y = 30·x

Therefore, the statement;

The cost of the dog kennel a day is given by the value of 'y', when x = 1, as

follows;

Cost per day, y = 30 × 1 = 30

The cost per day = $30 per day

Therefore;

The correct statement is; The dog kennel charges $30 per day

The amount it costs to board a dog for 7 days is y = $30×7 = $210

Therefore, the correct statement is; It costs $210 to board a dog for 7 days

Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True

Learn more here:

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Answer:

angle relationship: same-side interior

value of x: 40

Step-by-step explanation:

the horizontal lines are parallel and the vertical line is the transversal, so 3x+x+20=180. combine the x's and subtract 20 from both sides to get 4x=160. then divide both sides by 4 to get x=40.

Answer:

Step-by-step explanation:

Use the given formula and substitute the value of x:

f(1)

Done

Answer:

no

Step-by-step explanation:

Answer:

This is a little late but it's D. ​1.15h+3=1.75h

Step-by-step explanation:

I took this test

Answer:

1. 2x

2. 3x

3. 2x+5

4. (3x)^2

5. 3\4(x)

I hope it makes sense

have a great day

if any questions pls ask

Answer:

28

Step-by-step explanation:

7x4

Answer:

249 inches

Step-by-step explanation:

a cube is equal on all sides so if one side is 7 all sides are 7, if you multiply 7 by 7 you get 49 but that's just one face of the cube, there are 6 faces on a cube so 49 x 6 is 249

Answer:

25 Feet

Step-by-step explanation:

Im sorry if i am wrong, but it is 25 because the girl is 5 feet, and one feet less of a shadow. So it is obvious to me that the tree is 1 foot larger.

Answer:

14/25=0.56

29/50=0.58

53/100=0.53

13/20=0.65

3/5=0.60

Answer:

There would be 36 coins left

Step-by-step explanation:

I don't know if that was the question but you would do:

11/20x2=22/40

22/40+4/40=26/40

26/40=13/20

One twentieth of 240 is 12

12x3=36

Hope this helped

Hey there!

6x ÷ 23 = 0

6x = 23 × 0

6x = 0

x = 0/6

x = 0

Hope it helps ya!

Note :- There's a latex error so I think this was the question you meant ~~.

Answer:

[tex] \frac{6x}{23} = 0[/tex]

[tex]6x = 0 \times 23[/tex]

[tex]6x = 0[/tex]

[tex]x = \frac{0}{6} [/tex]

[tex]x = 0[/tex]

Answer:

1 that weighs 2pounds and 3 pounds,

Step-by-step explanation:

16 ounces in a pound

16x2 and 16x3

32

48

Answer:

68

Step-by-step explanation:

Answer:

m < FGN = 88°

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles (also known as remote interior angles).

Given the exterior angle, m <FGN = (7x + 18)°, and the two remote interior angles, m < E = 38° and m < F = (6x - 10)°:

The following equality statement can be established according to the exterior angle theorem:

m < E  + m < F  = m <FGN

38 + 6x - 10 = 7x + 18

Combine like terms:

28 + 6x = 7x + 18

Subtract 6x from both sides:

28 + 6x - 6x = 7x - 6x + 18

28 = x + 18

Subtract 18 from both sides:

28 - 18 = x + 18 - 18

10 = x

Next, substitute the value of x = 10 into the equality statement to determine whether it is the correct value of x, and to find the measures of < FGE and < F.

m < E  + m < F  = m <FGN

38° + (6x - 10)° = (7x + 18)°

38 + 6(10) - 10 = 7(10) + 18

38 + 60 - 10 = 70 + 18

88 = 88 (True statement).

Therefore, m < FGN = 88°

Answer:

B

Step-by-step explanation:

because if you multiply the denominators