In how many ways can you arrange six trophies on a shelf?

Answer:

192

Step-by-step explanation:

multiply by each side to find the answer. 4x2 is 8 and 8 x 24 is 192. Which ever order you multiply the numbers in you will always get 192. Hope this helps ^^

Answer:

You can conclude that the line segments BA and AC are perpendicular to each other.

Step-by-step explanation:

That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.

Answer:

CE

AE

segment addition postulate

Given: ABC is a triangle.

To prove: BC + AC > BA

Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.

Therefore,  and .

Now, add the inequalities, we get

.

Then,  because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)

Therefore,  by substitution.

Step-by-step explanation:

Answer:

c and e

Step-by-step explanation:

[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]

Answer:

2x+5

Step-by-step explanation:

Equation  y = 3x + 5  correctly represents the situation.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Darrian creates caricatures for an initial fee of $5 then charges $2 each minute.

Let x be the number of each extra minutes.

And y be the total fees.

So, the equation;

The total fee = Charges of x minutes + initial fee.

y = 3x + 5

Therefore, the equation is  y = 3x + 5.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ5

7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]y=-\frac{7x}{8} +4[/tex]

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.

[tex]y=-\frac{7x}{8} +4[/tex]

+[tex]\frac{7x}{8}[/tex]   +[tex]\frac{7x}{8}[/tex]

_________________

[tex]\frac{7x}{8} + y =4[/tex]

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.

[tex]8(\frac{7x}{8} + y) =8(4)[/tex]

Now doing the distributive property:

[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

Answer:

[tex]22\frac{1}{2}[/tex]

Step-by-step explanation:

(4.5)(5) = 22.5

[tex]22.5 = 22\frac{1}{2}[/tex]

Answer:

5. alternate interior angles

7. angle addition postulate

Answer:

B=-9

Step-by-step explanation:

Technically, I didn't solve it. I used an algebra calculator online called m a t h w a y. It helps a lot but if you really need to know how to solve it on pencil and paper I cannot help you.

I had to space out the website so it let me submit this answer btw

Answer: -9

Step-by-step explanation:

2b-3(1+b)=-3(b+7)

2b-3+3b=-3b+-21

5b-3=-3b+-21

-21+3=-18

2b=-18

-18/2=-9

Answer:

12 miles

Step-by-step explanation:

because of slope

Answer:

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

Answer:

........................

Answer:

it's so blury pls fix the picture so I can solve it NOW

Answer:

the answer to this question is $32.96

Answer:

Answer: 4

Step-by-step explanation:

Answer:

tha.nks for the p.oints buddy!

Answer:

Yes

Step-by-step explanation:

1 hour = 60 min

25 hours = 60 x 25 min

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution

Answer:

ummmmm i really don't get it but I think its 17/66

Step-by-step explanation:

multiply in to each fraction

Answer:

The answer is A!

Step-by-step explanation:

Answer:

112300

Step-by-step explanation:

50+10+23*61*80

=60+23*61*80

=60+112240

=112300

The answer 112300, hope this helped :)

Answer:

I think the answer is 112,300.

Answer:

Its easy

Step-by-step explanation:

[tex]20 = 5 \times 4[/tex]

[tex]20 = 5 \times x \\ x = 4[/tex]

So we know the x is four so it will be like this

[tex]6 \times 4 =x \\ x = 24[/tex]

So there were sold 24 chocolate milks

Hope this helps

Answer:

24

Step-by-step explanation:

because

5____6

20___x

Proportion: x=20*6/5=24

Answer:

[tex]y=(x+3)(x+1)[/tex]

Step-by-step explanation:

[tex]y=x^2+4x+3[/tex] <-- Given

[tex]y=x^2+x+3x+3[/tex] <-- Expand middle term

[tex]y=x(x+1)+3(x+1)[/tex] <-- Factor into two parts

[tex]y=(x+3)(x+1)[/tex] <-- Combine like terms

Answer:

7/1 or 7

Step-by-step explanation:

because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.

Answer:

m = 1/9

Step-by-step explanation:

Given:

x = 10

y = 8

x1 = 1

y1 = 9

Solution:

y - y1 = m ( x - x1 )

9 - 8 = m ( 10 - 1 )

1 = 9m

m = 1/9

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

Answer:

Step-by-step explanation:

24.5 just multiply hope that helpss