The Stock Market alexander is a stockbroker. he earns ​11% commission each week. Last​ week, sold ​$6400 worth of stocks. How much did he make last week in​ commission? If he averages that same amount each​ week, how much did he make in commission in​ 2011?

Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.

Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)

The triangle ADE is similar to the triangle ABC.

Similar triangles are triangles whose corresponding lengths are not equal to each other, but their corresponding angles are equal.

It is given that the line segment DE is parallel to BC.

Since it is parallel to each other, we can say that the angles formed on both the line segments are equal to each other since they are corresponding angles. Angle A is common to both the triangles.

Therefore, we can say that the two triangles are similar because all the angles are the same in each triangle.

Therefore, we have found out that the triangle ADE is similar to the triangle ABC.

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Answer:

(a) Slope of Line 1 = 3

    Slope of Line 2 = 3

    Slope of Line 3 = -1/3

(b)

Line 1 and Line 2 = Parallel

Line 1 and Line 3 = Perpendicular

Line 2 and Line 3 = Perpendicular

Step-by-step explanation:

Please mark as brainliest! Thanks! Hope this helps!

I believe it is C :)

Answer:

C

Step-by-step explanation:

-18x + 21 > -15  ///  x = 2

20x – 13 >27  ///  x = 2

The solution of inequality -18x + 21 > -15 OR 20x – 13 > 27 is x ∈ (- ∞, ∞), so option E is correct.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

-18x + 21 > -15 or  20x – 13 >27

Solve the first inequality as shown below,

-18x + 21 > -15

-18x + 21 - 21 > -15 - 21       (Subtract 21 from both sides)

-18x > -36

-18x / -18 > -36 / -18      (Divide by -18 into both sides, the inequality sign changes as the value will become positive)

x < 2

Similarly, solve the second inequality,

20x – 13 > 27

20x > 40

x > 2

Thus, the solution will be x < 2 ∪ x > 2 or x ∈ (- ∞, ∞)

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Answer:

Step-by-step explanation:

[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]

if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number

The product of numbers where one of them is even will always be even.

55 is odd number so it is not term of this sequence.

Answer:

x=26 y=137

Step-by-step explanation:

5x-17+3x-11=180

8x=208

x=26

2y+5+3x-11=180

2y+5+(3*26)-11=180

2y=274

y=137

Answer:x=9z + 16

                  z= x/9 + 16/9

Step-by-step explanation: dont know if i solve for x or z so i did both  subtract 16 from both sides for x      

Isolate the variable by dividing each side by factors that don't contain the variable. for z let me know if u need help

Answer:

Hallooooooo

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Andrew filled a measuring cup with 7/8 of olive oil

He poured 1/2 of the oil into a bowl

Therefore the amount of oil that will be left can be calculated as follows

= 7/8 - 1/2

= 3/8

Hence 3/8 oil will be left

Answer:

The x-intercept is -3

Step-by-step explanation:

So what you need to do is just graph this like any other equation

Start and (0, 12) and make a point

Then the slope is 4 so go up 4 and right 1 and keep doing that.

Then go the opposite direction so down 4 left 1

After that see where the line hits the x-axis, in this case, its (-3, 0)

So the x intercept is -3 or (-3, 0)

Pls mark brainliest because i didn't waste your time lol

Answer: (-3, 0)

Step-by-step explanation: If you want to find the x- intercept for y = 4x + 12, you’ll have to plug y = 0 into the equation and solve the resultint equation 0 = 4x + 12 for x. [0 = 4 x -3 + 12]. Hence, x = -3, so the x - intercept is (-3, 0).

Answer:

Step-by-step explanation:

x=120/3

x=40

Answer:

40

Step-by-step explanation:

if m||n then 3x must be equal to 120°

120° = 3x divide both sides by 3

40 = x

Answer:

4x-1y=3xy

Step-by-step explanation:

because 3-2=1 and add the y on and the do 4x-1y and that will = 3xy

Answer:

x=4, y=6

Step-by-step explanation:

hope that helps :)

Answer:

111°

Step-by-step explanation:

The polygon given is a heptagon having 7 sides.

Sum of interior angles of a 7-sided polygon = (n - 2)*180

= (7 - 2)*180

= 5*180 = 900°

Therefore:

126° + 158° + 120° + 125° + 121° + 139° + x° = 900°

Solve for x

789° + x° = 900°

Subtract 789 from each side

x = 900° - 789°

x = 111°

Answer:

1. x = 66

2. C

3. C. 2000

Step-by-step explanation:

1. The first question is x = 66 because to get rid on the fraction you multiply both sides by 4. This leaves you with x + 2 = 68 (minus 2 on both sides) this gives you x = 66.

2. C. Commutative

3. 2000

Plug in

125 = (5)(.0125)(2000)

125 = 125

Hope this helps ya!!

A. C (6) = 15.24; C 11 = 22.09.

C (6) represents the cost, $15.24, of delivering flowers to a destination that is 6 miles

from the shop.

C (11) represents the cost, $22.09, of delivering flowers to a destination that is 11 miles

from the shop.

b.

Answer:

The distance between the library and the florist’s shop is the length of CD . The endpoints of this line segment are C(3, 4) and D(3, -3). Because the x-coordinates of both points are the same (3), the length of CD can be found by subtracting the smaller y-coordinate from the greater y-coordinate: CD = 4 – (-3) = 4 + 3 = 7 units. The distance between the library and the florist’s shop is 7 blocks.

Step-by-step explanation:

Answer:

[tex]\frac{x^{2} }{576y^4}[/tex]

Step-by-step explanation:

Anything to the power of 0 becomes the number 1

[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]

Answer:

$41.50

Step-by-step explanation:

multiply $7.15 by 5 for every hour then add the $5.75 to show how it decreased which will give you $41.50 for 6 hours

Answer:

$35.90

Step-by-step explanation:

(5.75 • 5) + 7.15

= (5 • 5) + (0.75 • 5) + 7.15

= (25 + 3.75) + 7.15

= 28.75 + 7.15

= (28 + 7) + (0.75 + 0.15)

= 35 + 0.90

= $35.90

Hope this helps! :)

Answer:

18x2 +9x -5

Step-by-step explanation:

combine like terms

Answer:

$138

Step-by-step explanation:

if 100 is 15 then you add 1.15 or 1% of 15

Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!

Answer:

area of parallelogram=base×height=21×9=189cm²

Answer: The highest recorded temperature was 38 degrees.

Step-by-step explanation:

Given: The coldest temperature last December was –18.24 degrees.

Difference between this and the highest recorded temperature=

56.24 degrees

The highest recorded temperature = coldest temperature + difference

= -18.24+56.24 degrees

= 38 degrees

Hence, the highest recorded temperature was 38 degrees.

9514 1404 393

Answer:

  it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

  [tex]\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}[/tex]

__

Note that the next step here is to divide by the x-coefficient, the 5 that was in the left-side denominator.

  [tex]\dfrac{18\cdot100}{5}=x\qquad\text{divide by 5}[/tex]

Please also note that this is exactly the same result you would get by multiplying the original equation by the original denominator of x.

Answer:

sorry I wish I can help you

Step-by-step explanation:

Answer: 2nd step

Step-by-step explanation:

(-4s+5 )/-4 ≥ 16/-4

S-(5/4) ≥ -4

S ≥ -4+(5/4)

S ≥ 1/4

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

[tex]d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}[/tex]

So, they will cover 6.5 miles in 1 hour.

For percentage,

[tex]\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%[/tex]

So, they will run 75% of the full distance in 1 hour.