How will you use the rules of adding, subtracting, multiplying and dividing rational numbers with simplifying algebraic expressions?

Answer:

1) 2(2x+3)

2) 2x+4

3) - X + 4

4) 9x - 2

5) 5x−2

6) - 12x - 17

7) - 15x + 11

8) 3x/4

9) - 4x + 7

10) 4x-26/2

11) - 8x + 20.8

12) x - 6

By putting x = y-4 in the equation 2x-y = 5, we get;

=) 2(y-4) -y = 5

=) 2y - 8 - y = 5

=) 2y - y = 5 + 8

=) y = 13

Now, we got the value y = 13, so by putting it in the equation x = y-4, we get;

=) x = 13 - 4

=) x = 9

Therefore, x = 9 and y = 13

Answer:

the answer is (x,y) = (9,13)

Step-by-step explanation

Expression giving the result of the perimeter of rectangle A and demonstrating  the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial

Closure property keeps the result in the same set.

If two polynomials [tex]f(x)[/tex] and [tex]g(x)[/tex] are there.

Then, [tex]f(x) + g(x) = h(x)[/tex]

where [tex]h(x)[/tex] is also a polynomial.

The result of the addition of two polynomials is also a polynomial. This property of polynomial for addition operation is called closure property of a polynomial for addition operation

For the given case, we have:

Perimeter of a rectangle with width W and length L = 2(L + W)

And using that formula, the perimeter of the considered rectangle is evaluated as:

[tex]P = 2(3x + 5 + 2x - 3)\\P = 2((3+2)x + 2) = 2(5x + 2)\\\\P = 10x + 4[/tex]

Thus, expression giving the result of the perimeter of rectangle A and demonstrating  the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial

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Answer:

53.6, 53.61, 53.77, 54

Step-by-step explanation:

That's the right order

Answer:

14

Step-by-step explanation:

65^2=25^2 + h^2 =52

Then, 65^2 =(25 + x) ^2 +52^2=>x=14

The condition of two congruent angles in each triangle, can be used to

show that the two triangles are similar.

Response:

Part 1:

A two column proof is presented as follows;

Statement [tex]{}[/tex]                                    Reason

1. ∠D ≅ ∠A [tex]{}[/tex]                                   1. Given

2. ∠DCE ≅ ∠ACB [tex]{}[/tex]                        2. Vertical angle theorem

3. ΔCDE ~ ΔCAB [tex]{}[/tex]                         3. AA similarity postulate

Angle-Angle, AA, similarity postulate states that if two angles in one

triangle are congruent to two angles in a second triangles, then the two

triangles are similar.

Part 2:

From part 1, we have;

ΔCDE is similar to ΔCAB (ΔCDE ~ ΔCAB)

The ratio of corresponding sides of similar triangles are equal, which

gives;

[tex]\dfrac{\overline{CD}}{\overline{AC}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]

Which gives;

[tex]\dfrac{12}{\overline{AC}} = \mathbf{\dfrac{8}{15}}[/tex]

[tex]\overline{AC}} = \dfrac{15}{8} \times 12 = \mathbf{22.5}[/tex]

Similarly, we have;

[tex]\dfrac{\overline{DE}}{\overline{AB}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]

Which gives;

[tex]\dfrac{16}{\overline{AB}} = \dfrac{8}{15}[/tex]

[tex]{\overline{AB}} = \dfrac{15}{8} \times 16 = \mathbf{30}[/tex]

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Answer:

  63.4

Step-by-step explanation:

x° is an acute angle in a right triangle with the opposite and adjacent sides given. That means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 18/9 = 2

The value of the angle is found using the inverse tangent function:

  x° = arctan(2) ≈ 63.4°

  x = 63.4 . . . . . . . rounded to tenths

The number of minutes it will take both of them to iron 11 dress shirt is 90 minutes

Rate is the ratio between two related quantities in different units. Therefore,

Anita iron a shirt in 15 minutes. Therefore,

Michelle iron the same shirt for 18 minutes. Therefore,

Let the time they use to work together = x

Therefore,

1  / x =  18 + 15 / 270

1 / x = 33 / 270

cross multiply

270 = 33x

x = 270 / 33

x = 90 / 11

Both of them will use 90 / 11 minutes to iron a dress shirt

Therefore, 11 dress shirt will be ?

number of minutes to iron 11 dress shirt together = 11 × 90  / 11 = 90 minutes

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Step-by-step explanation:

Use the formula to find the answer:

1.

2.

Note. the numbers above are rounded

Answer:

  x = 53

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is always 360°.

  x +x +59 +48 +50 +39 +58 = 360

  2x +254 = 360 . . . . simplify

  x +127 = 180 . . . . . . divide by 2

  x = 53 . . . . . . . . . . . subtract 127

Range is one of the important description of a data set. The range of the given data sets is given as:

Range = Maximum value of the data set - Minimum value of the data set.

For the given sets, we get their range as:

Maximum value = 48, minimum value = 11

Range of the data set = Maximum value - minimum value = 48-11 = 37

Maximum value = 49, minimum value = 40

Range of the data set = Maximum value - minimum value = 49 - 40 = 9

Maximum value = 96, minimum value = 31

Range of the data set = Maximum value - minimum value = 96-31=65

Maximum value = 175, minimum value = 112

Range of the data set = Maximum value - minimum value = 175-112 = 63

Thus, the range of the given data sets is given as:

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[tex] \rm \: p = \frac{favourable \: outcome}{total \: outcome} [/tex]

[tex] \rm \: p = \frac{12}{30} [/tex]

[tex] \rm \: p = \frac{2}{5} [/tex]

[tex] \rm \: p = 0.4[/tex]

[tex] \tt \: p = \frac{0.4}{100} [/tex]

[tex] \tt \: p = 40\%[/tex]

Answer:

I think the answer is D

Step-by-step explanation:

The last figure is representing an undefined term "line".

A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.

The first illustration depicts a ray with an end point at X, which is a phrase that is described as "a ray is a line with one end point."

The second graphic depicts a line segment with endpoints at X and Y. This phrase is described as "A line segment is a line with 2 end points."

The joint of two rays in the third illustration creates an angle, which is once again a defined phrase.

The final illustration depicts a line that is not defined and has no endpoints.

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#SPJ5

Hey there!

|c^2 + b^2|

= -2^2 + -3^2

= -2^2 - 3^2

= -4 - 9

= -13

Therefore, your answer is: -13

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

10

Step-by-step explanation:

|-2(2)-3(2)|

|-4-6|

|-10|

=10

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

Answer:

x = 2, y = 5

Step-by-step explanation:

Answer:

math equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply 20 by 12:

Multiply 240 by 5:

Multiply the lengths:

Answer:

The missing side is 5 cm

Step-by-step explanation:

Step 1:  Determine the missing side

[tex]V=l*w*h[/tex]

[tex]1200\ cm^3 = 20\ cm * w * 12\ cm[/tex]

[tex]\frac{1200\ cm^3}{20\ cm * 12\ cm} = w[/tex]

[tex]\frac{1200\ cm^3}{240\ cm^2} = w[/tex]

[tex]5\ cm = w[/tex]

Answer: The missing side is 5 cm

Step-by-step explanation:

gradient=∆y/∆x

=(10-4)/(5-2))

=6/3

=2

(x,y) (2,4)

y-4/x-2=2

y-4=2(x-2)

y=2x-4+4

y=2x

Answer:  maybe about 45 or 75 i dont know

Step-by-step explanation:

Answer:

Np buddy its B. Hope u get a good grade

Answer:

y = -33x + 11.

Step-by-step explanation:

Answer:

area: 14

Step-by-step explanation:

Answer:

The answer is 4:1

Step-by-step explanation:

Hope this helps!

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

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pythagorean theorem, division, substatution, SAS

Step-by-step explanation:

edmentum

The length of a segment is the number of units between its endpoints

The length of YZ is 45 units

The given parameters are:

WX = 11x + 1

YZ = 19x - 31

Lengths WX and YZ are congruent.

So, we have:

[tex]19x - 31 = 11x +1[/tex]

Collect like terms

[tex]19x - 11x = 31 +1[/tex]

Evaluate the like terms

[tex]8x = 32[/tex]

Divide both sides by 32

[tex]x = 4[/tex]

Recall that:

YZ = 19x - 31

So, we have:

[tex]YZ = 19*4- 31[/tex]

[tex]YZ = 45[/tex]

Hence, the length of YZ is 45 units

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Answer:

2x^2+3x-13x-1

Step-by-step explanation:

Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.

Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.

Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.

Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.

Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.

Answer:

c

Step-by-step explanation:

its c bc i got it right on test