Line m passes through points (10, 4) and (1, 6). Line n passes through points (1, 11) and (10, 9). Are line m and line n parallel or perpendicular

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

Learn more about addition of polynomials here:

https://brainly.com/question/14148883

Answer:

8,5,1,-2

Step-by-step explanation:

> = Greater than or equal to -5

It can be deduced that the sample space is the collection of the set of possible outcomes in a random experiment.

Your information is incomplete as the graphs aren't provided. Therefore, an overview of the sample space will be given.

A sample space simply means the collection of the set of possible outcomes in a random experiment.

It should be noted that a sample space is usually represented by the symbol S.

Also, the theoretical probability distribution states that the probability of occurence of an event will be equal to the number of the favorable outcomes divided by the total outcomes possible.

Learn more about sample space on:

https://brainly.com/question/5750471

Answer:

1. Quadrant 2

2. Quadrant 3

Step-by-step explanation:

The quadrants are ordered in a 'c' pattern. The first quadrant has coordinates (x,y). The second quadrant has coordinates (-x,y). The third quadrant has coordinates (-x,-y). The fourth quadrant has coordinates (x,-y).

Answer:

quadrent 2 for question 1 ( negative x positive y) quadrant 3 for number 2 ( negative x and y)

Answer:

x = 2, y = 5

Step-by-step explanation:

Answer:

math equation

Step-by-step explanation:

Answer:

area: 14

Step-by-step explanation:

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 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

Read more about line segments at:

https://brainly.com/question/18315903

Answer:

11

Step-by-step explanation:

1/2 + 1/2 is 1

8 + 2 = 10

1 + 10 = 11

Answer:

The answer is 4:1

Step-by-step explanation:

Hope this helps!

Answer:

harap ia membantu kamu ya saya itu dari negara lain mungkin syllables nyahh lain jadi jawapan nyahh bisa lain ia kan

i try my best for sure gudluckk

Step-by-step explanation:

144

225

400

729

1296

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

learn more on rate here: https://brainly.com/question/1119145

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:

The important properties of parallelograms to know are:

-Opposite sides of parallelogram are equal (AB = DC).

-Opposite angles of parallelogram are equal (D = B).

-Consecutive angles in a parallelogram are supplementary (A + D = 180°).

-If one angle is 90 degrees, then all other angles are also 90 degrees.

FROM

SURAJ SAINI

Answer:

162,162,18,18

Step-by-step explanation:

each two opposite angles are equal

since there is an angle equals 162° then the opposite angle equals 162°

since the sum of all angles equal 360°

360-(162+162)= 36

so the sum of the other two opposite angle = 36 then the measure of one angle =36/2 =18°

Answer:

P = 35.98 cm

Step-by-step explanation:

The Perimeter of a shape is the distance around the outside of it. This semi-circle (half circle) has a straight part and the curved part. See image. The straight part is the diameter (distance through the center) it is double the radius that was given, 7 cm.

The circumference of a circle is the perimeter of the whole circle.

C = 2pi•r or pi•d

C = 2pi•7 = 14pi

But you only need half, so 14pi/2 is 7pi.

ADD the straight part and the curved part to get the whole distance around the shape

P = 14 + 7pi

P ~= 35.98 cm

See image

Answer: half x base x height

I hope that will help you have a great day bye and Mark brainlist if the answer is correct .......

Step-by-step explanation:

[tex]kai6417 [/tex]

#carry on learning

Answer:

53.6, 53.61, 53.77, 54

Step-by-step explanation:

That's the right order

Step-by-step explanation:

Use the formula to find the answer:

1.

2.

Note. the numbers above are rounded

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.

Find out more on Congruent shape at: https://brainly.com/question/11329400

pythagorean theorem, division, substatution, SAS

Step-by-step explanation:

edmentum

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

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]

Learn more about AA similarity postulate here:

https://brainly.com/question/11307267

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

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

Answer:

14

Step-by-step explanation:

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

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

[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:

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

Answer:

V' = (-1, -4)

Step-by-step explanation:

the original point V (4, -1) is 4 units to the right and 1 unit down.

now we turn this 90° clockwise (upper right to down to upper left).

that means the right part of the x-axis turns into the bottom part of the y-axis, and the bottom part of the y-axis into the left part of the x-axis.

so, positive x turns into negative y, and the negative y turns into negative x.

therefore, (4 -1) turns into (-1, -4).

Answer:

C     V'(-1,-4)

Step-by-step explanation:

Finding the Coordinate for a 90° Rotation

The point V(4, –1) is rotated 90° clockwise around the origin.

What are the coordinates of its image V’?

V’(1, 4)

V’(–1, 4)

(V’(–1, –4)) this one <-------

V’(4, 1)