Drag each tile to the correct spot

The area of triangle ABC is equal to the area of parallelogram GHJK.  (option c).

To begin with, we need to understand the formula for finding the area of a triangle and a parallelogram. The area of a triangle is given by the formula:

Area of triangle = 1/2 × base × height

where the base and height are perpendicular to each other. The area of a parallelogram is given by the formula:

Area of parallelogram = base × height

where the base and height are perpendicular to each other.

Now, let's look at the problem. We are given four answer choices, and we need to choose the correct one based on our understanding of the area formulas.

Option (c) states that the area of triangle ABC is equal to the area of parallelogram GHJK. This is also possible if the base and height of the triangle are equal to the base and height of the parallelogram, respectively. In this case, the area of the triangle would be half the area of the parallelogram. So, option (c) could also be correct.

Therefore, we need more information to determined that (c) is correct.

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Complete Question:

How does the area of triangle ABC compare to the area of parallelogram GHJK?

a) The area of △ABC is 2 square units greater than the area of parallelogram GHJK.

b) The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.

c) The area of △ABC is equal to the area of parallelogram GHJK.

d) The area of △ABC is 1 square unit less than the area of parallelogram GHJK.

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Explanation:

We have four values to pick from {1,3,5,9} and we want to form a three-digit number.

Kick one of those values out, let's say we kick out "9" at the end to get the subset {1,3,5}.

The sum of these remaining values is 1+3+5 = 9 which is a multiple of 3. Therefore three-digit numbers that have any order of 1,3,and 5 will be a multiple of 3.

Eg: 135/3 = 45 exactly.

There are 3*2*1 = 6 such numbers as shown at the very bottom of this solution post.

This is a permutation since the order matters.

Let A = 6 so we can use it later.

----------------

Go back to {1,3,5,9}

Now let's say we kicked "5" out this time.

We go from {1,3,5,9} to {1,3,9}

The digits sum to 1+3+9 = 13 which is not a multiple of 3

No matter how we arrange these digits, we won't get a multiple of 3.

Eg: 139/3 = 46.33 approximately

----------------

Let's go back to {1,3,5,9}. This time we'll kick out "3" from the group.

{1,3,5,9} shrinks to {1,5,9}

Add the values: 1+5+9 = 15 which is a multiple of 3.

Therefore, we get 6 more permutations (refer to the first section for similar steps). Let B = 6 so we can use it later.

Example: 159/3 = 53 exactly

-----------------

Return back to {1,3,5,9} once more. We have one final value to kick out.

Let's remove the "1" to end up with {3,5,9}

Add the values: 3+5+9 = 17 which isn't a multiple of 3, so we ignore this sub-case. It's similar to the 2nd section shown above.

-------------------

Each previous section had us remove exactly one value to have 3 digits leftover. This is a methodical way to guarantee we have looked through all possible cases.

The first case had us kick out 9 so that a permutation of {1,3,5} led to some multiple of 3. There were A = 6 cases for that section.

The third section had {1,5,9} which led to B = 6 more cases.

In total, there are A+B = 6+6 = 12 different three-digit numbers possible if we are only allowed to use {1,3,5,9} without repeats allowed. In other words, all three digits must be different.

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Check:

Here are the first 6 cases involving 1,3,5

Here are the other 6 cases involving 1,5,9

Answer:

P=61°

Step-by-step explanation:

P²=C²+ U²–2 C U cos P

189²= 215²+123²– 2×215×123×cos p

P= 61°

I hope I helped you^_^

Answer:

The Distance between the points is B. 48

Answer:

I think A is the right answer

Answer:

625

Step-by-step explanation:

5*5*5*5

Answer:

625

Step-by-step explanation:

Because the exponent means you would multiply 5 by itself 5 times

so 5 times 5 = 25

25 times 5 and on and on.

Answer:

B

Step-by-step explanation:

since it is already finalized that 200 lbs worth of computers have been loaded onto the truck, that will be a number by itself in the equation. However, the number of boxes of books is not finalized, and the question is asking you to create an inequality that may help find the amount of full boxes that can be loaded onto the truck without exceeding the weight limit of 1400 lbs.

hope this helps!!! :3

Answer:

x = -1

y = -8

Step-by-step explanation:

if y=10x+2 then we can substitute that expression in for 'y' in the second equation to solve for 'x':

-5x + 4(10x+2) = -27

-5x + 40x + 8 = -27

35x + 8 = -27

35x = -35

x = -1

now solve for 'y':

y = 10(-1) + 2

y = -10 + 2

y = -8

Answer:

y=2x-11

Step-by-step explanation:

Answer: 3/20

Step-by-step explanation:

Multiply the numerators (1*3) and denominators (4*5). The numerators product, 3 goes in the numerators place and denominator product, 20 goes in the denominators place. Therefore, the solution is 3/20.

Answer:

Step-by-step explanation:

First choose two points on the line,

Let the points are A and B.

From point A to B we are moving downwards by (5 - 1 = 4 units)

Therefore, Rise = -4

Horizontal distance between A and B = 2 units

Therefore, Run = 2

Since, slope of a line = \(\frac{\text{Rise}}{\text{Run}}\)

Slope = \(\frac{-4}{2}\)

          = -2

Answer:$8.25 per pizza

Step-by-step explanation:

divide the money spent by the pizzas and find the ratio

Answer: 80%

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

Because 76 out of 100 are nickels.

In an exponential regression model, the exact percentage of change can be calculated as: (exp(β1) − 1) × 100. if β1 = 0.13 then the percent increase in e(y) is approximately 13.55%.

To calculate the percent increase in e(y), we use the formula (exp(β1) − 1) × 100, where β1 is the coefficient of the independent variable in the exponential regression model.

Substituting β1 = 0.13 into the formula, we get:

(exp(0.13) − 1) × 100 = 13.55%

Therefore, the percent increase in e(y) is approximately 13.55%.

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To solve the system of equations using elimination, we can manipulate the equations by adding or subtracting them to eliminate one variable at a time.

12. Given the equations:

2x - 5y = -12

4x + 5y = 6

Adding these two equations eliminates the variable y:

(2x - 5y) + (4x + 5y) = -12 + 6

6x = -6

x = -1

Substituting the value of x into either of the original equations, we can solve for y:

2(-1) - 5y = -12

-2 - 5y = -12

-5y = -10

y = 2

Therefore, the solution to the system of equations is x = -1 and y = 2.

13. Given the equations:

3x - 4y = -8

3x - y = 10

Subtracting the second equation from the first equation eliminates the variable x:

(3x - 4y) - (3x - y) = -8 - 10

3y = -18

y = -6

Substituting the value of y into either of the original equations, we can solve for x:

3x - (-6) = 10

3x + 6 = 10

3x = 4

x = 4/3

Therefore, the solution to the system of equations is x = 4/3 and y = -6.

The remaining systems of equations can be solved using a similar approach by applying the elimination method to eliminate one variable at a time and then solving for the remaining variables.

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Answer:

The answer to your problem is, A. Larger

Step-by-step explanation:

First in order to know to the answer lets learn about different types of fractions:

For example, 1/4, 3/4, 3/8, are all proper fractions.

4/3, 5/2, are all improper fractions.

When we have to multiply a whole number with fractions less than 1, then the resulting number will be less the number originally

Example; 3 x \(\frac{3}{4}\)

If we then multiplying numerators together and the denominators together.

3 x \(\frac{3}{4}\) = \(\frac{3}{1}\) x \(\frac{3}{4}\) = \(\frac{9}{4}\) = 2\(\frac{1}{4}\) < 3

Example /\

Thus the answer to your problem is, A. Larger OR Multiply.

Answer:b

Step-by-step explanation:

Using the equation x - 7 = 12, we can apply it to find the number of students in Mrs. Jones' class, where the girls are 12 and the boys are 7.

An equation is a mathematical statement that two or more expressions share equality or are equivalent in value.

The equation sign (=) is used when two expressions or values are equal.

x - 7 = 12

Where the number of girls = 12

And the number of boys = 7

x = 12 + 7

x = 19

Thus, we can conclude from the equation x - 7 = 12 that x is the total number of students in Mrs. Jones' class.

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Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

Answer:

The graph on the top right

Step-by-step explanation:

The slope-intercept form is y = mx + b

m = the slope

b = y-intercept

The equation is y = 1/2x + 2

The y-intercept in this equation is 2, meaning the graph has a point (0,2) on it.  Looking at the options, the only graph that has a point (0,2) is the map on the top right, and that is the answer.

The equation of the table in slope intercept form is y = - 5 / 2x - 1

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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Answer:

No

Step-by-step explanation:

each notebook is $1.05 and the is $7.50

there is only enough for seven notebooks not eight.

Answer:

(i) 12 = 2 x 2 x 3 => 2² x 3¹

(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²

(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹

Step-by-step explanation:

(a) Express each of these numbers as a

product of its prime factors in index

notation.

(i) 12 = 2 x 2 x 3 => 2² x 3¹

(ii) 144 = 2 x 2 x 2 x 2 x 3 x 3 => 2⁴ x 3²

(iii) 5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 => 2⁴ x 3² x 5¹ x 7¹

The percentage of compounds formed from this plant extract fell within two standard deviations of the mean, equal to 95.45%.

We tested an extract of a plant native to Taiwan as a possible treatment for leukemia. The amounts of collagen were found to be normally distributed with a mean = 62

standard deviation = 6.9 g/ml.

This is true for any normal distribution, regardless of the actual values of the mean and standard deviation.

The standard normal distribution is a normal distribution with mean zero and standard deviation 1. The standard normal distribution is centered around zero and the degree to which measurements deviate from the mean is represented by the standard deviation.

Therefore, the required percentage is approx. 95.45% are within 2 standard deviations of the mean 62.

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Complete question:

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 62 and standard deviation of 6.9 grams per mililiter.What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?

answer:

volume = \(2.8125\) m³

explanation:

    Volume of rectangular prism: length * width * height

Here given the length is \(\frac{2}{3}\) , width is \(1\frac{1}{8}\) , height is \(3\frac{3}{4}\)

using the formula:

\(\frac{2}{3}\) * \(1\frac{1}{8}\) *  \(3\frac{3}{4}\)

\(\frac{2}{3} *\frac{9}{8} *\frac{15}{4}\)

\(\frac{45}{16}\)

\(2.8125\) m³

Answer:

thank uuuu

Step-by-step explanation:

Answer:

OMG FREE SLOT!

Step-by-step explanation:

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Answer:

0.5, 0.15, 0.115, 0.005

Step-by-step explanation:

A number can be written from the greatest to the and the lowest to the highest when given a series of number. This series of number can be in mixed fraction forms, improper fraction or decimal. When a number is said to be written from the greatest to the lowest, it is called descending order but from the lowest to the greatest it is called ascending order.

From the list of the series of the decimal numbers given, writing the numbers in order from the greatest to the least number will choose the form:

0.5, 0.15, 0.115, 0.005

Answer:

20

Step-by-step explanation:

you add 7 each time

Answer:

20

Step-by-step explanation:

Find the pattern: +7. so the next one is 13+7 which is 20.

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