Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:

Answer:

30c  +3d

Step-by-step explanation:

20c + 8d + 10c - 5d

Combine like terms

20c+10c   +8d - 5d

30c  +3d

Answer:

30c + 3d

Step-by-step explanation:

20c + 10c = 30c

8d - 5d = 3d

= 30c + 3d

Answer:

[tex]AM =40[/tex]

Step-by-step explanation:

Given

[tex]AM = 5x + 10[/tex]

[tex]MB = 4x + 16[/tex]

Required

Determine AM

Since M is the midpoint, we have that;

[tex]AM = MB[/tex]

Substitute values for AM and MB

[tex]5x + 10 = 4x + 16[/tex]

Collect Like Terms

[tex]5x - 4x = 16 - 10[/tex]

[tex]x = 6[/tex]

To solve for AM; substitute 6 for x in [tex]AM = 5x + 10[/tex]

[tex]AM = 5 * 6 + 10[/tex]

[tex]AM =30 + 10[/tex]

[tex]AM =40[/tex]

Answer:

Step-by-step explanation:

the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)

Answer:

  B = (6, 4)

Step-by-step explanation:

You know that the midpoint is calculated as ...

  M = (A +B)/2

Solving this for B, we find ...

  2M = A + B

  B = 2M - A

Filling in the coordinate values, we get ...

  B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)

  B = (6, 4)

Answer:

He is watching TV for 2 hours and 40 minutes.

Step-by-step explanation:

We are given that the episodes of a TV program are each 40 minutes long. Phill watches four episodes together.

As it is stated that the length of each episode of a TV program is 40 minutes, so the length of four episodes is given by;

1 episode = 40 minutes

4 episodes = 4 [tex]\times[/tex] 40

                  = 160 minutes

So, the length of four episodes together is 160 minutes.

Now, we have to convert the time in hours and minutes;

As we know that 1 hour = 60 minutes

160 minutes = 120 minutes + 40 minutes

                    = 2 hours + 40 minutes

Hence, the length of four episodes together is 2 hours and 40 minutes.

Answer: C. 21.2d+12.4f

Step-by-step explanation:

Given, The width of a rectangle measures[tex](5.5d+9.7f)[/tex]  centimeters, and its length measures [tex](5.1d-3.5f)[/tex] centimeters.  

Perimeter of rectangle = 2 (length + breadth)

[tex]= 2 ((5.5d+9.7f)+ (5.1d-3.5f) )\\\\=2 (5.5d+9.7f+5.1d-3.5f)\\\\= 2(5.5d+5.1d+9.7f-3.5f)\ \ \ [\text{Combine like terms}]\\\\= 2(10.6d+6.2f)\\\\= 21.2d+12.4f\ \ \ [\text{Multiply 2 inside the bracket}][/tex]

Hence, the correct option is C. 21.2d+12.4f .

Answer:

A, E

Step-by-step explanation:

Wanted expression: 6(b+2)-b

Let's factorise each expression and make it look like the wanted expression as much as possible.

A: 5b+12

In this case we do not have a "-b" at the back, to make it similar to the given expression we can insert a "-b" at the back while adding 1 b to the front (5b) of the expression.

6b+12-b

6(b+2)-b

B: 7b+8

8b+8-b

8(b+1)-b

C: 6b+8-b

2(3b+4)-b

D: 5b+8

6b+8-b

2(3b+4)-b

E: 6b+12-b

6(b+2)-b

The 2 expressions out of A-E that are the same as the wanted expression are A and E.

hope this helps :))

Answer:

  16

Step-by-step explanation:

If we take the partial image to be 1/2 of a full image, then there are a total of

  5 1/2 + 2 + 6 + 2 1/2 = 16

acorn images on the graph. Each image represents 4 acorns, so a total of ...

  4 × 16 = 64

acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.

Answer:

he swims 0.9 kilometers each day.

Step-by-step explanation:

Answer:

He swims 0.9km each day.

Step-by-step explanation:

To convert m to km divide by 1000

900/1000 =0.9

Answer:

Hey there!

-16h=16

Divide both sides by -16

h=-1

Hope this helps :)

Answer:

h = -1

Step-by-step explanation:

inverse operation:

16 = -16h

divide by -16 on both side

-1 = h

Answer:

N$12 576. 11

Step-by-step explanation:

Loss%=10%

S.P= N$11 480.50

C.P =?

Loss%=100(C.P - S.P)/C.P

10=100(C.P-11 480.50)/C.P

10C.P=100C.P - 1 148 050

1 148 050=100C.P - 10C.P

1 148 050=90C.P

C.P=N$12 576.11

Step-by-step explanation:

The Population pyramids or the age pyramid visualizes the demographic structure of any population. It is the graphical illustration which shows the distribution of the various age groups in the population.

The width of the pyramid represents the size of a population for a given age. Men are shown to the left and the women on the right.

The population pyramid between the age group will look like a pyramid with a very large width at the bottom and narrowing top.

Answer:

15÷4÷1/6.

first of all change ÷ to ×.

which will be 15×1/4×6/1.

which will be 15×1/2×3.

which is 15×3=45/2.

the answer is 22.5 or 22 whole number 1/2.

15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.

To divide 15 by 4 and 1/6, we can convert the mixed number 4 and 1/6 into an improper fraction.

4 and 1/6 can be written as (4 x 6 + 1) / 6 = 25/6.

Now, we can divide 15 by 25/6:

15 ÷ (25/6) = 15 x (6/25)

= (15 x 6) / 25

= 90/25.

Now, the fraction 90/25 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:

= 90/25

= (90 ÷ 5) / (25 ÷ 5)

= 18/5.

Therefore, 15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.

Learn more about Division here:

https://brainly.com/question/28584526

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Answer:

16,300

Step-by-step explanation:

Answer:

the answer is 16,300

Step-by-step explanation:

hope this answer helps

Hey there! I'm happy to help!

We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.

am/c=n

We multiply both sides by c.

am=nc

We divide both sides by a.

m=(nc)/a

I hope that this helps! Have a wonderful day! :D

Answer:

type the question that is the answer

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4

The equation for point (-6,8) is,

(y-8)= m1(x+6)...........(i)

and given equation is y = 2x-4............(ii)

Now, from equation (ii).

slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.

Now, For perpendicular,

m1×m2= -1

m1×2= -1

[tex]m1 = \frac{ - 1}{2} [/tex]

Therefore, m1 = -1/2.

Putting, the value of m1 in equation (i).

(y-8) = -1/2×(x+6)

2(y-8)= -1(x+6)

2y - 16 = -x -6

x+2y-10 = 0......... is the required equation.

Hope it helps...

Answer:

The answer should be 1/12 because a a cube has 6 sides rolling it twice would make it 12.

Hope This Helps!

Answer:

2a² = c²

Step-by-step explanation:

Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².

The equation can be used to determine if the triangle is a right triangle is c² = 2a².

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.

The longest side measures c units.

The other sides of the triangle measure a units.

As, we know that longest side is the Hypotenuse.

Using the Pythagorean Theorem

H² = P² + B²

c² = a² + a²

c² = 2a²

So, the Correct statement is c² = 2a².

Learn more about Pythagorean Theorem here:

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Answer:

An expression for the area of the rectangle if the width is w inches is

[tex]A =[/tex] 3w

when the width is 1 inch, Area = 3 square inches (in²)

when the width is 2 inches, Area = 6 square inches (in²)

when the width is 3 inches, Area = 9 square inches (in²)

when the width is 26 inches, Area = 78 square inches (in²)

Step-by-step explanation:

The area of a rectangle is given by

[tex]A = l[/tex] × [tex]w[/tex]

Where [tex]A[/tex] is the area of the rectangle

[tex]l[/tex] is the length of the rectangle

and [tex]w[/tex] is the width of the rectangle

From the question,

length, [tex]l[/tex] = 3 inches

width, [tex]w[/tex] = w inches

Hence, An expression for the area of the rectangle is

[tex]A =[/tex] 3 × w

[tex]A =[/tex] 3w

Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches

1. when the width is 1 inch (That is [tex]w[/tex]  = 1 inch)

Then, [tex]A =[/tex] 3w

[tex]A =[/tex] 3 × 1

[tex]A =[/tex] 3 square inches (in²)

2. when the width is 2 inches (That is [tex]w[/tex]  = 2 inches)

Then, [tex]A =[/tex] 3w

[tex]A =[/tex] 3 × 2

[tex]A =[/tex] 6 square inches (in²)

3. when the width is 3 inches (That is [tex]w[/tex]  = 3 inches)

Then, [tex]A =[/tex] 3w

[tex]A =[/tex] 3 × 3

[tex]A =[/tex] 9 square inches (in²)

4. when the width is 26 inches (That is [tex]w[/tex]  = 26 inches)

Then, [tex]A =[/tex] 3w

[tex]A =[/tex] 3 × 26

[tex]A =[/tex] 78 square inches (in²)

Answer:

$329.36

Step-by-step explanation:

Multiply the price by 1.0625 to find the total cost:

309.99(1.0625)

= $329.36

Answer:

It has exactly 3 congruent sides.

Step-by-step explanation:

Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF  + ∠GFJ = 180°.

So, 30° + 90° + ∠GFJ = 180°

120° + ∠GFJ = 180°

∠GFJ = 180° - 120°

∠GFJ = 60°

Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH  + ∠JHG = 180°.

So, 30° + 90° + ∠JHG = 180°

120° + ∠JHG = 180°

∠JHG = 180° - 120°

∠JHG = 60°

Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°

Since ∠FGH = ∠GFJ = ∠JHG = 60°

So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.

So exactly 3 sides are congruent in ΔFGJ.

Answer:

It has exactly 3 congruent sides

Step-by-step explanation:

took the unit test on edg 2020

Answer:

x = 7

Step-by-step explanation:

A vertical line has undefined slope.

The equation of a vertical line is x = b, where b is the x-coordinate of all points on the line.

We are told the line contains point (7, 2) with x-coordinate 7, so all points on this line have x-coordinate 7, and the equation of the line is

x = 7

Answer:

18 in

Step-by-step explanation:

(4.5)(4)=18

Side Length * Sides = 18 in

Answer: b=10.

Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10

Answer:

The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).

Answer:

45 people

Step-by-step explanation:

3/5 x 75 = 45, therefore, 45 people out of 75 preferred rice to noodles.

Answer:

45 prefer rice out of 75 surveyed.

Step-by-step explanation:

75 divided by 5 is 15. 15 x 3 = 45!

3/5 = 45/75

I hope this helps you

b-6b/11=10/11

-5b=10 (divide -5 both of sides)

b=-2