which statement explains why ABC is congruent to A’B’C’?

Answer:

B. fifty divided by the sum of 5 and n

Step-by-step explanation:

Answer:

I think b

Step-by-step explanation:

hope it works

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

The third quartile range is the difference between the median height of the third grade class and the fourth grade class, so the answer is two times.

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

After answering the given query, we can state that  the parabola equation expands upwards, and the apex is (4, 4.5).

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

P equals 1/2, meaning that the distance between the apex and the focus is equal to the distance between the directrix and the focus.

As a result, the parabola's equation is:

\((x - 4)^2 = 4(1/2)(y - 1.5)\\(x - 4)^2 = 2(y - 1.5)\)

The left half of the equation is expanded as follows: x2 - 8x + 16 = 2(y - \(1.5) x2 - 8x + 13 = 2y\\y = (1/2)x^2 - 4x + 13/2\)

The problem can also be expressed in vertex form by filling in the cube as follows:

\((x - 4)^2 = 2(y - 1.5)\\(x - 4)^2 = 2(y - 1.5) + 6\\(x - 4)^2 = 2(y - 4.5)\\(x - 4)^2/8 = (y - 4.5)\\\)

Therefore, the parabola expands upwards, and the apex is (4, 4.5).

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Answer:

6 kg nuts and 9kg of raisins

Step-by-step explanation:

We know that the price must be (2.5x  + 3.75y)/15 = 3.00 and x+y = 15. To solve this system of equations, we can say that x = 15-y. We plug this back into the equation to get

( 2.5(15-y) + 3.75y) ) / 15 = 3.00

y = 6

to find x

x = 15 - 6 = 9

6 kg nuts and 9kg of raisins

Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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Answer: See explanation

Step-by-step explanation:

1.) There's an angle supplementary to m∠123°, that angle is y

y and m∠123° are supplementary since they're linear pairs

y + 123 = 180

Subtract both sides by 123

y = 57°

Now we know at least two angles of the triangle, x + y + m∠92° has to be 180° because they form a triangle.

x + y + m∠92° = 180°

x + 57 + 92 = 180

x + 149 = 180

Subtract both sides by 149

x = 31°

2.) We have to figure out the missing angle in the triangle, that missing angle is once again, y.

y + 100 + 25 = 180

y + 125 = 180

y = 55°

x and y are supplementary angles because they form a straight line

x + y = 180°

x + 55 = 180

Subtract both sides by 55

x = 125°

Hope I helped!

10√2

Step-by-step explanation:

i thin so it will be ans

The inequality is used to find the domain of the given function is

5x-5 ≥ 0

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.

Since, the function is a square root function.

We know that,

The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.

The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

5x-5 ≥ 0

Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0

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Hope it make sense now :)

Based on the calculations, Mrs. Mayes spent the least time working on Wednesday.

A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

In order to determine when Mrs. Mayes spent the least time working, we would convert the given mixed fractions into a proper fraction and then decimal. Lastly, we would then compare as follows:

Monday = 5 2/5 = 27/5 = 5.4.

Tuesday = 5 5/8 = 45/8 = 5.625.

Wednesday = 5 3/8 = 43/8 = 5.375.

Thursday = 5 4/5 = 29/5 = 5.8.

Based on the calculations above, we can reasonably infer and logically deduce that Mrs. Mayes spent the least time working on Wednesday.

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Complete Question:

The following table shows the amount of time Mrs. Mayes spent word processing each day for four days. On which day did Mrs. Mayes spend the least time working?

Answer:

this means you have find the m=36 first after that you will have to change 36 to currency

The meaning of the solution, m=-36 as given in the task content is; that one owes the bank 36.

It follows from the task content that the solution given for m is; m = -36.

Since, m represents the amount of money in the bank account after several weeks, it follows that one not only has nothing left in the account, but, also owes the bank 36.

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Answer: 2210.6

Step-by-step explanation:

\(V=\pi (8)^{2} \cdot 11 \approx 3.14 \cdot 8^{2} \cdot 11 \approx 2210.6\)

Answer:

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

The area is:

Answer:

215132

Step-by-step explanation:

deltamath

Answer:

3

Step-by-step explanation:

Given the data :

2, 3, 7, 8, 9, 13

2 5

3 4

7 0

8 1

9 2

13 6

The mean, = Σx / n ; n = sample size

Mean = 42 / 6 = 7

The mean absolute deviation = Σ|x - mean| / n

The mean absolute deviation is Hence,

(5 + 4 + 0 + 1 + 2 + 6) / 6

Mean absolute deviation = 18 / 6

Mean absolute deviation = 3

Answer: $2.60

Step-by-step explanation:

$1+$1.60=$2.60

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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132 divided by 12 is equal to 11 with a remainder of 2.

To perform the division, you can use long division:

Step 1: Set up the division equation:

      _______

12 | 132

Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:

      11

      _______

12 | 132

Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):

      11

      _______

12 | 132

     -  12

      _______

        120

         3

Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:

      11

      _______

12 | 132

     -  12

      _______

        120

         3

      _______

        110

        -  108

      _______

          2

Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.

The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.

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The point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

Given that:

y = total cost

x = miles

We are also given the system of linear equations that models the scenario given as:

y = 0.27x + 27 --> equation 1

y = 0.21x + 45 --> equation 2

To find the value of x, make both equations equal to each other and solve:

0.27x + 27 = 0.21x + 45

Combine like terms

0.27x - 0.21x = -27 + 45

0.06x = 18

Divide both sides by 0.06

0.06x/0.06 = 18/0.06

x = 300

To find the value of y, plug in the value of x into equation 1, and find y:

y = 0.27(300) + 27

y = 81 + 27

y = 108

Thus, the point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

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Answer:

100

Step-by-step explanation:

10 times 10=100

Answer: 100

Step-by-step explanation: The 2 in this problem means that we are going to multiply 10 twice in order to find the answer.

When we multiply a number by itself, it's called squaring.

So any number squared is that number times itself.

So 10² is just 10 · 10 or 100.

We need to find the value of x.

We know that QS is the angle bisector of ∠PSR. Thus, we have:

Also, both triangles have a right angle. Then, the two triangles formed are similar because they have two congruent corresponding angles.

Also, they share side QS. Thus, the proportion factor between the corresponding sides is 1, i.e., the corresponding sides are congruent.

Therefore, the two triangles are congruent, and we have:

Answer: x = 15

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

1 1/4

4 fits into five once, leaving 1/4 left making it a mixed number.