What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 1.x - 3 y - 7 = 2.x - 3 y + 7 = 0 3. 3 x - y - 7 = 0

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

Answer:

Correct answer = 20 miles

Step-by-step explanation:

The mistake she made was that she made was that she  multiplied the amount with 3 instead of dividing it.

The incorrect way -

$60 = 3 × 60 = 90 (Her multiplication is also incorrect as 3 × 60 = 180)

Corrected method -

$60 = [tex]\frac{60}{3}[/tex] = 20 miles

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

Answer:

For Sarah's dogs, we have:

Morning:

39, 21, 12, 27, 23, 19, 19, 31, 36, 25

if the ranges are:

A) 10 pounds to 19 pounds: here we have the dog of 12, and two dogs of 19.

B) 20 to 29: one of 21 pounds, one of 27, one of 23 and one of 25, so here we have 4 dogs.

C) 30 to 39. here we have the left 3 dogs.

then the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\10to19&3\\20to29&4\\30to39&3\end{array}\right][/tex]

For the afternoon, the weights of the dogs are:

15, 51, 8, 16, 43, 34, 27, 11, 8, 39

So the ranges:

0 to 9: here we have two dogs of 8.

10 to 19: 3 dogs, 15, 16 and 11.

20 to 29: 1 dog of 27

30 to 39: 2 dogs of 34 and 39

40 to 49: one dog of 43

50 to 59: one dog of 51.

the table is:

[tex]\left[\begin{array}{ccc}range&dogs\\0to9&2\\10to19&3\\20to29&1\\30to39&2\\40to49&1\\50to59&1\end{array}\right][/tex]

Answer:

No hate but Facundo your answer is so complicated

Step-by-step explanation:

what numbers does a,b,c represent and you have two tables but after abc I just don't understand can someone please help me?!? Thanks for answering it though.

Answer:

x=  4/3 and y=3

Answer:

92

Step-by-step explanation:

Please use " ^ " to indicate exponentiation, ok?  Thank you.

If

ƒ(x) = 9x^2 + 27x + 2, and we are to find ƒ(2), substitute 2 for x"

f(2) = 9(2)^2 + 27(2) + 2

This becomes:

f(2) = 36 + 54 + 2 = 92

Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

Answer:

[tex]\displaystyle y=2.4[/tex]

Step-by-step explanation:

[tex]{\displaystyle y\propto \frac{1}{x} }[/tex]

[tex]\displaystyle y=\frac{k}{x}[/tex]

[tex]\displaystyle 3=\frac{k}{4}[/tex]

[tex]\displaystyle 3 \times 4=k[/tex]

[tex]\displaystyle k=12[/tex]

[tex]\displaystyle y=\frac{12}{5}[/tex]

[tex]\displaystyle y=2.4[/tex]

Answer:

7/20

Step-by-step explanation:

He tosses the dime 500 times and it lands on heads 325 times.

There are only two possibilities in a coin toss: Head or tails

This means that it lands on tails:

500 - 325 = 175

The theoretical probability of the dime landing on tails is:

175 / 500 = 7/20

Answer:

33%

Step-by-step explanation:

- The area of the inner white circle is π4² = 16π

- The area of the blue "band" is π7² - π4² = 33π

- The total area is π10² = 100π

The ratio of the blue band and the total area is 33π/100π ×100% = 33%

Answer:

2x+3

Step-by-step explanation:

2x+3=Alan's Weight

2x= Dylan's weight times two

+3= the plus three more pounds

Which then equals Alan's weight.

Answer: It would represent a linear function.

Step-by-step explanation:

Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.

Answer:

Yes

With an extra 3000CHF

Step-by-step explanation:

In year 2005, the exchange rate was 1$ = 1.15CHF

The student came in with $20,000.

The amount he had in CHF(swiss franc) = ?

$1 = 1.15C

$20,000 = x CHF

X = (20000 × 1.15) / 1

X = 23,000CHF

When he came to Zürich in 2005, he has 23,000 swiss franc.

But the exchange rates changed in 2006 to C1.30 against the dollar.

$1 = 1.30CHF

$20,000 = xCHF

X = 26,000CHF

In 2006, he would've had 26,000CHF.

The difference between what he would've had in 2006 against 2005 is

26,000CHF - 23,000CHF = 3000CHF

He would've had an extra 3000CHF if he came in the year 2006.

Answer:

n = 1 2/5

Step-by-step explanation:

-21 + 70n = 77

Add 21 to each side

-21+21 + 70n = 77 +21

70n = 98

Divide each side by 70

70n/70 = 98/70

n =98/70

n = 70/70 +28/70

n = 1 + 2/5

n = 1 2/5

Answer:

This would also be known as 7/5

Step-by-step explanation:

The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!

Answer:

x = 19,      x = 17

Step-by-step explanation:

(x-18) ^2 = 1

Take the square root of each side

sqrt((x-18) ^2) = ±sqrt(1)

x-18 = ±1

Add 18 to each side

x-18 +18 =18± 1

x = 18+1     x=18-1

x = 19,      x = 17

Answer: [tex]9\pi[/tex]

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9

Answer:

NEED HELP

Step-by-step explanation:

I DON'T KNOW?

Answer:

0.50

Step-by-step explanation:

The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.

Answer:

The volume of the oven is 75 ft^3

Step-by-step explanation:

Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.

Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.

Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2

Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3

Answer:

130 times

Step-by-step explanation:

If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130

Answer:

1/2 or 0.5

Step-by-step explanation:

since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

Answer:

4.5 miles

Step-by-step explanation:

On the graph,

We use the distance formula to find the distance between Elm and Oak.

[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]

Answer:

The first choice, second choice, fifth choice are correct

Step-by-step explanation:

To get the first and second choices, you just need to count the number of boxes. For the fifth choice, you can see that the side lengths have been cut in half from the pre-image to image

Answer:

[tex]-6x+15<10-5x[/tex]

Step-by-step explanation:

[tex]-3(2x-5)<5(2-x)[/tex]

Distribute.

[tex]-6x+15<10-5x[/tex]

Add 5x and subtract 15 on both sides.

[tex]-6x-5x<10-15[/tex]

[tex]-1x<-5[/tex]

Multiply -1 on both sides.

[tex]x>5[/tex]

Answer:

its c the third equation and d the first graph.

Step-by-step explanation:

Answer:

It's a Binomial

Step-by-step explanation:

Answer:

4,5,6

Step-by-step explanation:

(x)+(x+1)+(x+2)= 15

3x + 3 = 15

3x = 12

x = 4

Answer:

Three consecutive numbers are: 4, 5, 6,

Step-by-step explanation:

Let three consecutive numbers be x , (x +1) ,  (x +2 )

x + x + 1 +x + 2 = 15

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Three consecutive numbers are: 4, 5, 6,

Answer:

x = -.4

Step-by-step explanation:

3x + 5.2 = 2 - 5x

Add 5x to each side

3x+5x + 5.2 = 2 - 5x+5x

8x +5.2 = 2

Subtract 5.2 from each side

8x +5.2 - 5.2 = 2-5.2

8x = -3.2

Divide each side by 8

8x/8 = -3.2/8

x = -.4

Answer:

x= -0.4

Step-by-step explanation:

3x+5.2=2-5x

Add 5x to both sides

8x+5.2=2

Subtract 5.2 from both sides

8x= -3.2

Divide both sides by 8

x= -0.4

I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.

Answer: 1

Step-by-step explanation:

If n/4 = 2, then n = 8

[tex]i^8 = i*i*i*i*i*i*i*i\\i*i=-1\\i^8=(-1)(-1)(-1)(-1) = 1*1 = 1[/tex]

Answer:

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Step-by-step explanation:

We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:

[tex]y = a*x[/tex]

The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:

[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]

The constant of proportionality is [tex]\frac{1}{40}[/tex]