What is the area of rhombus ABCD?

Do not round at any steps

Answer:

C) 3

Step-by-step explanation:

I just did this math quiz on KM

Answer:

n ≤ 14

Step-by-step explanation:

Shirley wants a skateboard that's $64. She has $98. She spent $10.85. She wants to spend some money on a couple cookies $1.65 each. So $1.65* 14= $23.10

23.10+10.85+64= 97.95

while

$1.65*16= 26.4

26.4+ 10.85+ 64= 101.25

So, it would have to be that n is less than or equal to 14.

The maximum no of cookies is n ≤ 14.

Given that,

Based on the above information, the calculation is as follows:

The amount after spending to stationary is

= $98 - $0.5

= $87.15

And,

The remaining amount is

= $87.15 - $64

= $23.15

Now

1.65n≤23.15

n≤[tex]23.15\div1.65[/tex]

n≤14

Therefore we can conclude that the maximum no of cookies is n ≤ 14.

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Answer:

Step-by-step explanation:

From the graph we can see that point G is the barycentre of the triangle, because it's formed by the intersection of the three medians of the triangle, which are defined as segments from a vertex to the midpoint of the opposite side.

From the intersection of all triangle medians we have that:

[tex]BG=2GE[/tex]

[tex]CG=2GF[/tex]

[tex]AG=2GD[/tex]

Also, we know by hypothesis that [tex]GE=27[/tex]. Replacing this value:

[tex]BG=2GE[/tex]

[tex]BG=2(27)=54[/tex]

Then, by sum of segments, we have:

[tex]BE=BG+GE[/tex]

[tex]BE=54+27=81.[/tex]

Therefore, BE = 81.

The equation in point slope form as -

y - 18 = (1/3)(x - 27)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following equation -

x - 3y = -27

We can write the equation as -

x - 3y = -27

Rearranging, we get -

3y = x + 27

y = x/3 + 9

Plot the graph. The line passes through the point (27, 18). So, we can write the equation in point slope form as -

y - 18 = (1/3)(x - 27)

Therefore, the equation in point slope form as -

y - 18 = (1/3)(x - 27)

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The point slope form of the equation X - 3Y = -27 is Y = (1/3)X + 9. This equation represents a line with a slope of 1/3 and a y-intercept of 9.

The point slope form of the equation X - 3Y = -27 is Y = (1/3)X + 9.

To convert the given equation to point slope form, isolate Y by subtracting X from both sides: -3Y = -X - 27. Then, divide both sides by -3 to solve for Y: Y = (1/3)X + 9.

This equation represents a line with a slope of 1/3 and a y-intercept of 9. This means that for every 1 unit increase in X, Y will increase by 1/3, and the line will intersect the y-axis at the point (0, 9).

THE ANSWER IS 3.6% BECAUSE I JUST TOOK THE TEST AND GOT A 100%

Answer:

3.6%

Step-by-step explanation:

Given that A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers.

Sample size n =380

Sample proportion p = 0.24

q = 1-0.24 =0.76

Std error of p = [tex]\sqrt{\frac{pq}{n} } =0.0219[/tex]

Z critical value for 90% would be 1.645

Margin of error = ±1.645*std error

=±1.645(0.0219)

=±0.0361

i.e. in percent margin of error

3.61% = 3.6%

w^2 +16 = 8w

w^2 +16-8w = 0

(w-4)^2 = 0

(w-4) = 0

w=4

 answer is 4

2w +2(2w+1) = 50

2w +4w +2 =50

6w +2 =50

6w = 48

w = 48/6

w=8

Transformation involves changing the coordinates of a shape

The true statements regarding the transformation are: (a), (b) and (e)

The transformation rule is given as: R0, 180°

This means 180 degrees rotation

A 180 degrees rotation is represented as: (x, y) → (–x, –y) --- option (a)

So, we have:

L'= (-2,-2) --- option (b)

M' = (-4,-4)

N = (-1,-6) -- option (e)

Hence, the true statements are: (a), (b) and (e)

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The correct marked price of the laptop is $740.

To find the marked price of the laptop, we need to consider the total amount Joan paid, which includes the discounted price and the additional tax. Joan paid a total of $737, which is after a discount and including a 5% tax on the marked price.

Let's denote the marked price of the laptop as M. Joan paid $700 after the discount, which means the discounted price is $700. The tax paid on the marked price is 5% of M, which can be written as  0.05M .

The relationship between the marked price, the discount, and the tax can be expressed as:

[tex]\[ M - \text{Discount} + 0.05M = \text{Total paid} \] \[ M - (M - 700) + 0.05M = 737 \] \[ M - M + 700 + 0.05M = 737 \] \[ 0.05M = 737 - 700 \] \[ 0.05M = 37 \][/tex]

Now, we solve for \( M \) to find the marked price:

[tex]\[ M = \frac{37}{0.05} \] \[ M = 740 \][/tex]

Therefore, the marked price of the laptop is $740.

The other options can be eliminated as follows:

- $700 is the price Joan paid after the discount, not the marked price.

- $777 is not correct because it does not account for the 5% tax on the marked price.

- $40 is incorrect as it is much less than the amount Joan paid after the discount.

Hence, the correct answer is $740 for the marked price of the laptop.

Answer:

C) 3.7

Step-by-step explanation:

The given expression is -(-3.7)

Here we have to use the multiplication of sign rule.

- (-) = +

-(+) = -

+(-) = -

+(+) = +

So, we we multiply negative by negative, the result will be positive.

Therefore, -(-3.7) = +3.7

Hence, the answer is C) 3.7

Answer:

The solution for the required variable is [tex]a=\frac{-33+x}{10c}[/tex]

Step-by-step explanation:

Consider the provided expression.

[tex]\frac{10ac-x}{11}=-3[/tex]

We need to solve the equation for a.

Multiply both the sides by 11.

[tex]10ac-x=-33[/tex]

Add x to both sides

[tex]10ac=-33+x[/tex]

Divide both the sides by 10c.

[tex]a=\frac{-33+x}{10c}[/tex]

Hence, the solution for the required variable is [tex]a=\frac{-33+x}{10c}[/tex]

The side length of the square board would be 12.8 inches.

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Area of a square = length²

To determine the side length, find the square root of the area of the board.

√164 = 12.806 inches

Approximating it to the nearest tenth is 12.8 inches

The tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

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The decimal equivalent of the fraction 168/55, when rounded to three decimal places, is approximately 3.054. Therefore, either option C or D could be deemed correct.

The question is asking to find the decimal that is equivalent to the fraction 168/55. To find this, we have to perform the division of 168 by 55. The division of 168 by 55 rounded to three decimal places yields 3.055. Comparing this value with the provided options, no option matches exactly. However, option C and D listed as 3.054 is closest.

However, please note that due to rounding, it can be said that they are approximately equivalent. Hence, the correct option could be considered as C or D: 3.054, as it is closest to the actual answer, 3.055, when accounting for rounding.

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Step-by-step explanation:

Lets look at each of the options one by one:

Price System: In this system markets allocate resources through the price mechanism. An increase in demand raises price and encourages businesses to use more resources into the production of that good or service. In this system the government limits itself to protecting property rights of people and businesses using the legal system and protecting the value of money or the value of a currency.

Authoritarian System: In this system it is associated with a communist system. The scarce resources are owned by the government. The state allocates resources, and sets production targets and growth rates according to its own view of people's wants. They have their own idea of demand.

By comparing two systems it can be seen that Price System automatically moves resources to where they are most needed. So, price system is more efficient than authoritarian means.

Answer:

(B) corresponding angles theorem

Step-by-step explanation:

Given: A parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML.

To prove: Opposite angles of parallelogram are equal.

Construction: Extend segment JM beyond point M and draw point P, Extend segment JK beyond point J and draw point Q.

Proof:

It is given that A parallelogram JKLM is shown where segment JM is parallel to segment KL and segment JK is parallel to segment ML.

Extend segment JM beyond point M and draw point P--------By construction

and Extend segment JK beyond point J and draw point Q----By construction

thus, ∠MLK≅∠PML and ∠JML≅∠QJM (Alternate interior angles theorem) (1)

Then, ∠PML≅∠KJM and ∠QJM≅∠LKJ (corresponding angles theorem)  (2)

Using equation (1) and (2) and using the transitive property of equality, we have

∠MLK≅∠KJM and ∠JML≅∠LKJ

therefore, opposite angles of the given parallelogram JKLM are congruent.

Hence proved.