Which of the following pairs show(s) triangles that are similar bu ΔΔΔΔΑ CA and C only CB only C A, B, and C B and C only​

Answer: k(x)

Step-by-step explanation: I haven’t done Alg. 1 for a while, but I’m pretty sure that k(x) is the answer... when you have a negative in the parenthese, the line moves to the right. I hope this is correct and that it helps!

Considering the given fraction, the simplified expression is as follows:

\(\frac{x + 5}{3x - 2}\)

In this problem, we have a fraction, in which:

To simplify the entire fraction, we must factor both the numerator and the denominator, and then simplify, that is, eliminate, the common terms.

The numerator is given as follows:

3x² + 13x - 10

It can be factored as:

(3x - 2)(x + 5).

This is because x = 2/3 and x = -5 are the roots of the numerator.

The denominator is given by:

9x² - 4.

It can be factored as:

(3x + 2)(3x - 2)

Applying the subtraction of perfect squares.

Hence the simplified expression is:

\(\frac{3x^2 + 13x - 10}{9x^2 - 4} = \frac{(3x - 2)(x + 5)}{(3x + 2)(3x - 2)} = \frac{x + 5}{3x - 2}\)

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Answer:

36 Bins are needed .

Step-by-step explanation:

3×2×1.5/12×8×6

= 36

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

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Your answer is correct.

Answer:

7 x 2 = 14   or even  7 x 4 / 2 = 14

Step-by-step explanation:

17% of 2700=459

17% more= 2700+459

Subscribers this time=3,159

If an item has a listed price of $65 and the sales tax rate is 5%, the sales tax will be $3.25 and the total cost will be $68.25.

If the item has a listed price of $65, the sales tax rate is 5%, we can first calculate the amount of sales tax as follows:

Sales Tax = Listed Price x Sales Tax Rate

Sales Tax = $65 x 0.05

Sales Tax = $3.25

So the sales tax on the item is $3.25.

To calculate the total cost, we simply add the sales tax to the listed price:

Total Cost = Listed Price + Sales Tax

Total Cost = $65 + $3.25

Total Cost = $68.25

So the total cost of the item with sales tax is $68.25.

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Answer:

because they are congruent...

Answer:

X is 5 cm.

Step-by-step explanation:

Answer:

The set is not a basis. It is not linearly independent and doesn't span the given vector space

Step-by-step explanation:

Let u = (1,0,3), v = (-3,1,-7) and w=(5,-1,13). We want to check if the set {u,v,w} is a basis for \(\mathbb{R}^3\). By definition, a basis is a linearly independent set that spans the vector space. So, if it is a basis, it automatically is linearly independent and spans the whole space. Since we have 3 vectors in

\(A=\left[\begin{matrix}1 & -3 & 5 \\ 0 & 1 & -1 \\ 3 & -7 & 13 \end{matrix}\right]\)

which is the matrix whose columns are u,v,w. To check that the set {u,v,w} is linearly independent,it is equivalent to check that the row-echelon form of A has 3 pivots.

The step by step calculation of the row-echelon form of A is ommited. However, the row-echelon form of A is

\(A=\left[\begin{matrix}1 & 0 & 2 \\ 0 & 1 & -1 \\ 0 & 0 & 0 \end{matrix}\right]\)

In this case, we have only 2 pivots on the first and second column. This means that the columns 1,2 of matrix A are linearly independent. Hence, the set {u,v,w} is not linearly independent, and thus, it can't be a basis for \(\mathbb{R}^3\). Since it is not a basis, it can't span the space.

Let's solve your system by substitution.

3y+x=4;2y−x=6

Rewrite equations:

x+3y=4;−x+2y=6

Step: Solvex+3y=4for x:

x+3y=4

x+3y+−3y=4+−3y(Add -3y to both sides)

x=−3y+4

Step: Substitute−3y+4forxin−x+2y=6:

−x+2y=6

−(−3y+4)+2y=6

5y−4=6(Simplify both sides of the equation)

5y−4+4=6+4(Add 4 to both sides)

5y=10

5y

5

=

10

5

(Divide both sides by 5)

y=2

Step: Substitute2foryinx=−3y+4:

x=−3y+4

x=(−3)(2)+4

x=−2(Simplify both sides of the equation)

Answer:

x=−2 and y=2

Your line would also lay on both lines so the answer would be the first one: It is (−2, 2) and lies on both lines.

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Rhys will have to pay £6 interest after the first year.

To calculate the interest, we can use the formula:

Interest = Principal x Rate

Where:

Principal = £200

Rate = 3% = 0.03 (in decimal form)

So, the interest Rhys will have to pay after the first year is:

Interest = £200 x 0.03 = £6

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Answer:

x=8/3

Step-by-step explanation:

I hope this helps you

Answer: 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

Melonie,  k = 2*10,  is another way to look at this

I think you can get the answer now

k = 20 , if you're not sure

Answer:

X+y=56 equation 1

X-y=16 equation 2

X+y+x-y=56+16

2x=72(divide Both side by 2)

X=36

X+y=56(from equation 1 to find y)

36+y=56

Y=56-36

Y=20

So their product is xy

36×20

720

So the answer is 720

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer:

Step-by-step explanation:

it is the diameter AB.

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

\(40 + 14j = 2(-4j - 13)\\40 + 14j = -8j - 26\\14j + 8j = -26 - 40\\22j = -66\\j = -3\)

Answer:

60

Step-by-step explanation:

180-(100+20)=x

x=60

Answer:

Option D

Step-by-step explanation:

32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).

Distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the expression,

Distance = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance between M(2, -3) and N(3, 1) will be,

MN = \(\sqrt{(3-2)^2+(1+3)^2}\)

      = \(\sqrt{1+16}\)

      = \(\sqrt{17}\)

Distance between M(2, -3) and O(-3, 1),

MO = \(\sqrt{(2+3)^2+(-3-1)^2}\)

      = \(\sqrt{25+16}\)

      = \(\sqrt{41}\)

Distance between N(3, 1) and O(-3, 1),

NO = \(\sqrt{(3+3)^2+(1-1)^2}\)

      = 6

Condition for right triangle,

c² = a² + b² [Here c is the longest side of the triangle]

By this property,

MO² = MN² + NO²

\((\sqrt{41})^2=(\sqrt{17})^2+6^2\)

41 = 17 + 36

41 = 51

False.

Therefore, given triangle is not a right triangle.

Since, length of all sides are not equal, given triangle will be a scalene triangle.

Option D is the correct option.

Answer:

x = 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

                          9

Step-by-step explanation:

Step-by-step explanation:

2x³ - 10x² + 4x - 20

= 2x²(x - 5) + 4(x - 5)

= (2x² + 4)(x - 5).

Hence (2x³ - 10x² + 4x - 20) / (x - 5)

= [(2x² + 4)(x - 5)] / (x - 5) = 2x² + 4.

Answer:

2x²+4

Step-by-step explanation:

2x³-10x²+4x-20

2(x³-5x²+2x-10)

x-5

2(x²×(x-5)+2(x-5)

x-5

2(x-5)×(x²+2)

x-5

2(x²+2)

=2ײ+4

Answer:

Step-by-step explanation:xn − xn−1 + xn−1 − xn−2 + ··· + x2 − x1 + x1 − x0. = xn − x0. = |I|. Suppose that f : [a, b] → R is a bounded function on the compact interval.

Answer:

3/8 because 3 is bigger than 2.

3 of anything is bigger than 2 of the same thing.

The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

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The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

Given that, there are 6 pails in a row. The first 3 pails are filled with water.

The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.

Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.

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