The slope of AB is -2/5. Segments CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answer:

[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]

Step-by-step explanation:

Our first step would be to distribute this 3 through the

parentheses to get 3x + 3 on the right side of the equation.

On the left bring down your y - 2 to get y - 2 = 3x + 3.

Next we would move the -2 to the right side of the

equation by adding 2 to both sides to get y = 3x + 5.

Now, this equation is written in slope-intercept form because

the y is by itself on the left side of the equation.

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

Answer:

180 cm³

Step-by-step explanation:

Volume = base area x height

4x9x5

Answer:

180 cm^3

Step-by-step explanation:

Vol = base time height times length

4 times 9 times 5 = 180

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

Answer:

Number of 10 cent coins = 14

Number of 50 cent coins = 7

Step-by-step explanation:

Let the number of coins of 10 cents = a

and the number of coins of 50 cents = b

Total count of coins = 21

a + b = 21  ---------(1)

Value of 10 cent coins = $0.10

Value of a coins of 10 cents = 0.10a

Value of 50 cent coins = $0.50

Value of b coins of 50 cents = 0.50a

The value of these coins = $4.90

0.10a + 0.50b = 4.90

a + 5b = 49 --------(2)

By subtracting equation (1) from equation (2)

(a + 5b) - (a + b) = 49 - 21

4b = 28

b = 7

From equation (1),

a + 7 = 21

a = 21 - 7

a = 14

Therefore, number of 10 cents coins = 14

number of 50 cent coins = 7

Answer:

She get 84% right

Step-by-step explanation:

42 x 2 = 84

50 x 2 = 100

Answer:

84%

this is the picture of how I solved it.

hope you understand.

Answer:

500 liters

Step-by-step explanation:

We want to find the total amount of water that was drained.

He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:

62.5 * 8 = 500 liters of water

Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60% of $12

(60 × 20) ÷ 100 = 12

Answer:

x=6

Step-by-step explanation:

FG + GH = FH

4+x-3 = 2x-5

Combine terms

x+1 = 2x-5

Subtract x from each side

x+1-x = 2x-5-x

1 = x-5

Add 5 to each side

1+5 = x-5+5

6 =x

Answer:

x=6

Step-by-step explanation:

F G + G H = F H

4+x-3 = 2x-5

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

Answer:

12.5

its right

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

There is 2 Os and 8 in total.

So the probability of selecting O is 1/4

As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4

Answer: 12 child tickets

Step-by-step explanation:

We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.

Equation 1

5.25x+3.05y=498.6

This equation comes from the cost of tickets.

Equation 2

x+y=100

This equation comes from the number of tickets.

We can use elimination method to solve for y.

5.25x+3.05y=498.6

5.25x+5.25y=525

Now, we can subtract the equations for x to cancel out and to solve for y.

-2.2y=-26.4

y=12

Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

Answer:

the slope is 12

Step-by-step explanation:

y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.

Since 12 has replaced m, it is the slope.

Since 1 has replaced b, it is the y-intercept.

"the slope is 12" is the correct answer choice.

Answer:

complementary

Step-by-step explanation:

to complete 90 gradus

_________________________________

Hey!!

<a and <b are complementary angles.

Hope it helps

Good luck on your assignment

__________________________________

Answer:

300 inches tall or a flat surface is the best way you could use it to be

Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

mark brianliest if my answer suit your question

Answer:

Step-by-step explanation:

answer b

Answer:

Option B

Step-by-step explanation:

Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;

[tex]BA and DE,\\AC and EC,\\BC and DC[/tex]

With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;

[tex]DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC[/tex]

With that, the length of AC in respect to EC can be represented as such;

[tex]AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12[/tex]

[tex]AC = 156 - x = 156 - 12 = 144[/tex]

Solution - Option B

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

Answer:

2.61

Step-by-step explanation:

To find the amount of space between the two points, subtract -2.61 from 0.

0 - (-2.61)       Distribute the negative

0 + 2.61          Add

2.61

Answer:

78 square ft.

The answer is 75 ft

explanation

12ft x 2.5ft = 30ft

12ft x 2ft = 24ft

12ft x 1.5ft = 18ft

1.5ft x 2ft = 3ft

30 + 24 + 18 + 3 = 75

Answer:

Givens

Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.

Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)

[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]

The window has 16 meters between the four sides, which gives 5 meters per side.

The graph of the function is attached.

here is your ansewewrew

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

[tex]\mathbf{7x^3+3.5x^2}[/tex];

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Answer: All of them besides <AEB

Step-by-step explanation:

Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct