Which of these expressions represent the sum of 3 and n?

The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!

Answer:

Yes; the corresponding sides are proportional

Step-by-step explanation:

If two figures are similar, the lengths of their sides are proportional.  This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.

Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:

5/3 = 25/15

Cross multiply:

5(15) = 3(25)

75 = 75

We got a true statement, so the sides are proportional.

Answer: The actual answers are: "The distributions are similar." & "The Means-to-MAD ratio is 0.75." I took the same test and got it right. I hope this helps anyone reading this. :D Thanks!

~H*****

Answers are C. The means-to-MAD ratio is 0.75. and D. The distributions are similar. hope it helps

Answer: First and third

Step-by-step explanation:

In the given pictures, the first and third picture are representing function  because each input corresponds to exactly one output.

In second and fourth picture one input value corresponds to two output values.

i.e. a corresponds to 25 and 55 and x corresponds to 7 and 5 in output.

To find a coterminal angle with 153°, we can either add 360° to get 513° or subtract 360° to get -207°, both of which have the same terminal side as 153°.

To find an angle that is coterminal with 153°, we add or subtract multiples of 360° to the original angle. Adding 360° to 153° gives us 513° as one such coterminal angle. Subtracting 360° from 153° provides us with -207° as another coterminal angle. Both of these angles have the same terminal side position as 153° when plotted in standard position on a coordinate system.

Final answer:

When a transversal intersects parallel lines perpendicularly, all angles formed are right angles (90°). This is due to perpendicular lines creating right angles and the angles at the intersection points being equal in measure because of the corresponding angle postulate.

Explanation:

When a transversal is perpendicular to two parallel lines, all the angles formed measure 90° because of the geometric properties of parallel lines and transversals. A transversal is a line that intersects two or more lines at distinct points. In the case of perpendicular transversals and parallel lines, the angles formed are called right angles.

If we consider two parallel lines, like railway tracks, they never meet and are always the same distance apart, maintaining a 180° straight line angle between them. A transversal that is perpendicular to these lines would intersect at points which lie along the x-axis if we consider the parallel lines to be along this axis. By the definition of perpendicular lines, the angles formed at the intersection points are 90°. As there are two intersection points on each parallel line, and due to the corresponding angle postulate, all four angles formed are equal in measure and hence are all right angles.

This can also be understood by considering vectors in physics, where if two vectors are perpendicular to each other, they form a right triangle, indicating a 90° angle between them. Knowing that parallel lines crossed by a perpendicular transversal produce angles of equal measure, and by the property that perpendicular lines form right angles, we can conclude that all angles formed in the described scenario are indeed 90°.

Answer:

The correct answer is 6.

Step-by-step explanation:

I just did this question as well and 6 was the correct answer. Hope this helped :)

Jeff has used 11,000 gallons of water. We find this by subtracting the base charge from the total bill and dividing it by the cost per 1000 gallons.

The water bill that Jeff receives is made up of a base charge of $12.00, plus an additional charge of $1.50 for each 1000 gallons of water used. From the given information, we know that Jeff's bill came to $28.50. To find out how much water Jeff used, we first need to subtract the base charge from the total bill which gives us $16.50. Now we divide this number by the cost per 1000 gallons, which is  $1.50. Therefore, we can say that Jeff used 16.50 ÷ 1.50 = 11 units of water. Since 1 unit refers to 1000 gallons, Jeff has used 11,000 gallons of water.

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Answer:
(10 - 3x)(10 + 3x)

Explanation:

This type of question yields what is called a difference of squares, which is recognizable because of the subtraction (-) operation between the two terms of the binomial. When questions like this are seen, the formula for difference of squares can be implemented. This formula is:

(a² - b²) = (a - b)(a + b)

With this, we can square root both terms of the original binomial and plug our variables for a and b into the formula.

Let 100 = a², let 9x² = b²

√(100) = 10
√(9x²) = 3x

Those values are now a and b, respectively, so when we place them in their spots in the formula, the completed factoring is: (10 - 3x)(10 + 3x)

To check this answer for accuracy, we can use the FOIL method and combine like terms to see if it gives us the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing us which terms should be multiplied together so:

Firsts: 10(10) = 100
Outsides: 10(3x) = 30x
Insides: -3x(10) = -30x
Lasts: -3x(3x) = -9x²

We place them in the same equation and combine like terms:
100 + 30x - 30x - 9x²
100 + 0 - 9x²
100 - 9x²

We are back to our original equation so the answer of (10 - 3x)(10 + 3x) is accurate.

Answer:

addition property of equality

Step-by-step explanation:

The equation y – 9 + 9 = –17 + 9 is an example of which property

A.Substitution Property of Equality:

In this property we substitute some particular value for the variable.

B.Addition Property of Equality

This property states that when we add any number to one sides of the equation we do the same on the other side

y – 9 + 9 = –17 + 9

In the equation , 9 is added on both sides of the equation. So it is an example of addition property of equality

C.Reflexive Property of Equality

Reflexive property states that the number is equal to itself

D. Symmetric Property of Equality

It states that if a=b then b=a

[tex] (2-9i)+(-2+7i)=-2i [/tex]

g(x) = 5x

h(x) = 5 - x

k(x) = (g - h)(x)

k(x) = g(x) - h(x)

k(x) = 5x - (5 - x)

Hence, the correct option is k(x) = 5x - 5-x