Factor using the GCF and Distributive Property. 12x - 40

4(3x - 10)

2(6x - 20)

3(4x + 10)

4(3x + 10)

Answer:

The slope is 0 .

Step-by-step explanation:

Answer:

Step-by-step explanation:

either 1 foot or 33 ;-;

The value 5.1 feet long is a string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole.

Let the value is C.

The Pythagoras' theorem,

C² = (11)² + (12)²

C² = 121 + 144

C² = 265

C = 5.1 feet.

Therefore, the value is 5.1 feet.

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Options:

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

Answer:

The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation:

See attachment for options

Given

Shape: Rectangle

Transformation

- Rotation

- Translation 6 units down

Required

True statement about the transformation

From the options, we understand that we are to answer the question based on whether or not the image of the transformation will equal the original.

The given transformations are rigid transformations and as such, they do not in any way change the measure of the length and/or angle of the new image, after transformation

So, irrespective of which transformation comes first, both shapes will be congruent.

Hence: (a) is true

Answer:

Step-by-step explanation:

m∠R = 180° - 110° [Linear pair of angles are supplementary]

m∠R = 70°

m∠S = 45° [Vertically opposite angles]

By triangle sum theorem,

m∠P + m∠R + m∠S = 180°

m∠P + 70° + 45° = 180°

m∠P = 180 -115

        = 65°

Therefore, m∠A = m∠P = 65° [Vertically opposite angles]

By triangle sum theorem,

m∠B + m∠S + m∠T = 180°

m∠B + 45° + 65° = 180°

[m∠T = 65°. Since, ∠P and ∠T are corresponding angles]

m∠B = 180° - 110° = 70°

m∠C + m∠B = 180° [Linear pair of angles are supplementary]

m∠C = 180° - 70° = 110°

m∠D + m∠T = 180° [Linear pair of angles are supplementary]

m∠D + 65° = 180°

m∠D = 115°

Answer:

the third one

Step-by-step explanation:

have a great day :)

It is C

In problem C X is still being multiplied by the other variable y, and also it is still multiplying the 7 too, The other questions do not factor in the multiplication required meaning that the only answer that could be applied would be C.

Hope this helps and have a nice day.

-R3TR0 Z3R0  

Answers:

For original triangle, perimeter is 60. The area is 120.

The dilated triangle, perimeter is 180. The area is 1080.

Step-by-step explanation:

24 times 3=72

10 times 3=30

26 times 3=78

72+30+78=180

Perimeter of diliated triangle

1/2btimesh=area

1/2 30 times 72=1080 square units

Perimeter of original triangle

24+10+26=60 units

1/2 10 times 24=120 square units

From the picture attached,

Measure of the base of the small right triangle = 10 units

Height of the triangle = 24 units

Measure of the Hypotenuse = 26 units

Since, Perimeter of the triangle = Sum of the measures of the sides of the triangle

Therefore, Perimeter = 10 + 24 + 26

                                   = 60 units

Area of the triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                 = [tex]\frac{1}{2}(10)(24)[/tex]

                                 = 120 units²

Given triangle is dilated by a scale factor of 3 to form the bigger triangle,

Scale factor = 3

Since, expression for the scale factor is given by,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

Therefore, length of the base of the dilated (bigger) triangle will be,

[tex]3=\frac{\text{Measure of the base of the original}}{10}[/tex]

Measure of the base of the original = 30 units

Height of the dilated triangle will be,

[tex]3=\frac{\text{Height of the dilated triangle}}{24}[/tex]

Height = 24 × 3

            = 72 cm

Hypotenuse of the dilated triangle will be,

[tex]3=\frac{\text{Hypotenuse of the dilated triangle}}{26}[/tex]

Hypotenuse = 78 cm

Now the perimeter of the dilated triangle = 30 + 72 + 78

                                                                     = 180 cm

Area of the dilated triangle = [tex]\frac{1}{2}(30)(72)[/tex]

                                             = 1080 cm²

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A percentage is essentially a fraction, but lazily written. Think of a percent as 25/100, or 0.25.

Now multiply the two.

0.25x5/8.

We need to convert 5/8 to a decimal, which is 0.625.

0.25x0.625=0.15625.

Now convert the decimal to a fraction, which is 5/32.

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hope it helps

Answer:

depends what the number is

Step-by-step explanation:

if its -7 and 7 then the distance would be 14

Answer:

0.01086956521

Step-by-step explanation:

1.4 / 128.8 = 0.01086956521

Answer:

4 5/8

Step-by-step explanation:

Answer:

37 /56

Step-by-step explanation:

Answer:

There are 24 girls.

Step-by-step explanation:

56 total students divided into 7 parts (4 parts boys and 3 parts girls) is 8.

8 times 3(ratio of girls) is equal to 24.

Answer:

I think 24 if i'm not wrong

Step-by-step explanation:

Answer:

19422

Step-by-step explanation:

20000-578 to solve the problem

Answer:

300 dollars

Step-by-step explanation:

60% of 500

(60/100) * 500 = 300

The topmost common factor of 6 and 30 is 6.

To find the topmost common factor( GCF) of 6 and 30.

We can determine the factors of both figures and identify the largest factor they've in common.

The factors of 6 are 1, 2, 3, and 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

From the common factors listed over, the largest factor that both 6 and 30 share is 6.

Thus, the topmost common factor of 6 and 30 is 6.

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Answer:

18:12

simplified 3:2

this is the answer to your problem

The ration between boys and girls are -  18:12

when simplified-  3:2

Answer:

∠A = 175∘

Step-by-step explanation:

∠A = ∠B

5x-5= 4x+29

x = 34

∠A= 34*5+5

∠A=170+5=175

5x+5= 4x + 29

-5        

5x=4x+24

-4x -4x

x=24

m∠A=5x+5

m∠A=5(24)+5

120+5

Answer=125

Answer:109.01

Step-by-step explanation:

Answer:

−2x−4

Step-by-step explanation:

5(x+2)−7(x+2)

Distribute:

=(5)(x)+(5)(2)+(−7)(x)+(−7)(2)

=5x+10+−7x+−14

Combine Like Terms:

=5x+10+−7x+−14

=(5x+−7x)+(10+−14)

=−2x+−4

Answer:

x = 6

Step-by-step explanation:

8x + 2 + 70 + 60 = 180

8x + 132 = 180

8x = 48

x = 6

Answer:

every hour is $8.15 if 4.5hours her mows is $33.15

Answer:

$36.68

Step-by-step explanation:

If she mows for 4.5 hours, you multiply that by how much she makes an hour. each hour she makes $8.15 each hour.

4.5 * 8.15= 36.675

you'd round up to the 100ths place because of the 5

Answer:

7,187

Step-by-step explanation:

Add 7 to 80 it equals 87 add that to 100 then it is 187 then you add that to 7,000 it is 7,187 in standard form.

Answer:

7,187

Step-by-step explanation:

Answer:

Answer: 4 feet long :)))

Answer: exit and see what It looks like them look it up  then put quizziz them find the one you are looking for teh it will give you the creater then press perview then click show answers so you will get the answers.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

(-3,4)

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

its honestly really easy lol

Answer:

20 :)

Step-by-step explanation:

it's 20

160% of 20 is 32

the answer to your question is 20

Answer:

I believe the answer is triangle A.

Step-by-step explanation:

Since we know that sine is opposite over hypotenuse, and that the sine is being taken from angle A, triangle A is the correct answer.

Hope this helps!

Answer:

56/19

Step-by-step explanation:

I'll approach this using Substitution. Since 3X = 2Y, we know that 1.5X = 1Y. We can plug that into the first equation, which gives us...

2X + 5(1.5X) = 8

2X + 7.5X = 8

9.5X = 8

19X = 16

X = 16/19

While this is not 'pretty', it does match up with how most of the answers are written (four of the answers involve "nineteenths"). With this value of X, we can solve for Y...

3X = 2Y

3(16/19) = 2Y

48/19 = 2Y

24/19 = Y

With the value of X and the value of Y, we can answer the question that's asked:

2X + Y = ?

2(16/19) + 24/19 =

32/19 + 24/19 =

56/19

Final Answer: 56/19

Answer:

[tex]x = - 1[/tex]

[tex]y = - 2[/tex]

Step-by-step explanation:

[tex]3x + 2y = - 7[/tex]

[tex]2x - 5y = 8[/tex]

Apply elimination method. Let multiply the bottom equation by -3/2.

[tex]2 \times - \frac{3}{2} x = - 3[/tex]

[tex] - 5 \times - \frac{3}{2} = 7.5[/tex]

[tex]8 \times - \frac{3}{2} = - 12[/tex]

Substitute new equation and add it to the top equation

[tex]3x + 2y = - 7[/tex]

[tex] - 3x + 7.5y = - 12[/tex]

[tex]9.5y = - 19[/tex]

[tex]y = - 2[/tex]

Now plug -2 for y into any equation and solve for x.

[tex]3x + 2( - 2) = - 7[/tex]

[tex]3x - 4 = - 7[/tex]

[tex]3x = - 3[/tex]

[tex]x = - 1[/tex]

Answer:

The answer is 2.38888888889.

Step-by-step explanation:

Hope this helps! ^w^

Answer:

43/18

Step-by-step explanation: