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Answer:

x = 3.

Step-by-step explanation:

Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:

2x + x + 5 = 3x + 5

4 + 3 = 7

Now, we can set up a ratio:

[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]

Cross multiply:

7(x + 5) = 4(3x + 5)

Distribute:

7x + 35 = 12x + 20

Subtract 7x from both sides:

35 = 5x + 20

Subtract 20 from both sides:

15 = 5x

Divide both sides by 5:

x = 3.

Answer:

Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.

A) mean = average. Find the total of the ages and dive by number of people:

19x 2 = 38

20x3= 60

21x1= 21

22x4 = 88

23x1=23

38 +60 +21+88+23= 230

230/ 11= 20.9

Mean = 20.9

B ) 1 more person makes the total 12 people. The mean becomes 22, so total of the ages would be 12x22= 264

Subtract the two totals 264 - 230 = 34

The person would be 34

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 2x + 1 + 25

10x + 2 = 2x + 26 ( subtract 2x from both sides )

8x + 2 = 26 ( subtract 2 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

Answer:

answer A

Step-by-step explanation:

Hello,

[tex](fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11[/tex]

so the correct answer is A.

hope this helps

Answer:

A.  6x + 11.

Step-by-step explanation:

(f o g)(x)

We replace the x in f(c) by g(x) and simplify:

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11.

Answer:

B

Step-by-step explanation:

From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

Hi,

Complete the steps to solve the equation 4e2 + 2x = x − 3 by graphing.

The equation 4e2 + 2x = x - 3 has

x-3

x -coordinates

has no solution

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

Answer:

9 feet

Step-by-step explanation:

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used. (2l + 2w) = 48

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

(2l + 2w) = 48

2 x 15 + 2w = 48

30 + 2w = 48

Now Using Subtraction property we will subtract both side by 30 we get;

30 + 2w -30 = 48 -30

2w = 18

Now Using Division Property we will divide both side by 2 we get;

2w = 18

/2

w = 9

Answer:

Answer is A: 9 feet

Answer:

He needs 0.275 cups of orange juice to reach his estimates

Step-by-step explanation:

Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.

4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.

Adding them together we will know the amount he got. Therefore,

4/17 + 3/10 + 9/20 + 3/11 + 7/15

(40 + 51)/170  + 9/20 + 3/11 + 7/15

91/170 + 9/20 + (45 + 77)/165

(1820 + 1530)/3400 + 122/165

3350/3400 + 122/165

0.98529411764 + 0.73939393939

1.72468805703

Patel got approximately 1.725 cups of orange juice . He will  require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.

1/2 cup of orange juice

Answer:

976 cm^2.

Step-by-step explanation:

The surface area consists of 2 congruent triangles + 2 congruent sloping rectangles  + a rectangular base.

Area of the 3 triangles 1/2*base*height * 2

= base * height

= 14*24 cm^2

Area of the 2 rectangles = 2*25 * 10

= 20*25 cm^2

Area of the base = 14 * 10 cm^2

So total surface area = 14*24 + 20*25 + 14*10

= 976 cm^2.

Answer:

6

Step-by-step explanation:

=> 2x-2y

Taking 2 common

=> 2(x-y)

Given that x-y = 3

=> 2(3)

=> 6

Answer:

1

[tex] - y = 3x \\ \frac{ - y}{ - 1} = \frac{3 - x}{ - 1} \\ y = \frac{3 - x}{1 } \\ y = x - 3[/tex]

2

[tex]2x - 2y \\ factor \: out \: 2 \\ 2(x - y) \\ [/tex]

Answer:

5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

prime factorising 50 inside root,

[tex]\sqrt{50}[/tex]=[tex]\sqrt{5*5*2}[/tex]

      5*5 is a perfect square

    So root of 5*5(or 25) is 5.

Hence 5 comes outside and 2 remains in bracket.

=5[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Find the sketch of the triangle attached.

Area of the triangle = [tex]\frac{1}{2}|PQ| |PR| sinQPR[/tex]

Given PQ = 20, PR = 12 and ∠QPR = 68°

Area of the triangle = 1/2 * 20 * 12 * sin68°

Area of the triangle = 120sin68°

Area of the triangle = 112.26 square units

Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)

Answer:

111.3

Step-by-step explanation:

Answer: C. 0.8 ft x 1 ft

Step-by-step explanation:

The scale factor of 1/5 means you multiply

the dimensions by 1/5

4 * 1/5 = 0.8

5 * 1/5 = 1

Answer:

C. 0.8 ft x 1 ft

Step-by-step explanation:

Answer:

280 kg

Step-by-step explanation:

279.98... so it rounds up to 280

Answer:

58kg

Step-by-step explanation:

127 pounds to kg is 57.606 kgs

divide pounds by 2.205

Answer:

A

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

No, it fails the vertical line test

Step-by-step explanation:

This is not a function.  It does not have a one to one correspondence.  There are x values that have more than one y value.  It fails the vertical line test

Answer:

Total Surface Area =

148cm²

Explanation:

in the picture

The total surface area of cuboid is 158 cm².

The surface area of a cuboid is the total area of all of the faces of a cuboid.

If, the length (l), width (w), and height (h) of the cuboid

then, use the formula: surface area (SA)=2lw+2lh+2hw.

Here, given that,

l = 6cm

w = 4cm

h = 5cm

So, required total SA = 2( 24+30+20)

                                   =158 cm²

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The volume of the given figure is 288 cubic units.

Given a prism with the base dimension of 8×12 units and the height of 3 units.

From the general formula of the volume of the prism,

The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h,

where, B is the area of the base and h is the height of the prism. = l × w × h,

where l, w, and h are the length, width, and height of the rectangular prism.

In our case,

l = 12

w =8

h =3

Volume of the prism = 12 *8 * 3

Volume of the prism = 288

Therefore, the volume of the prism will be 288 cubic units.

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Answer:

[tex]3t^9[/tex]

Step-by-step explanation:

Image attached below.

Answer:

8.3 to the nearest tenth.

Step-by-step explanation:

The mean = (6 + 13 + 14 + 3 + 5 + 8) / 6

= 8 .33.

Answer:

8.3

Step-by-step explanation:

The mean is 8.333...

So rounded to the nearest tenth would get your answer...

8.3

Hope this helps!

Answer: Semi-regular tessellations are made of more than one kind of regular polygon. There are only 8 semi-regular tessellations.

A semi-regular tessellation is a tiling of the plane using regular polygons where the arrangement at each vertex is the same but the types of polygons may vary.

There are 8 known semi-regular tessellations.

There is a finite number of possibilities due to the constraints on the arrangements of polygons.

We have,

A semi-regular tessellation, also known as a uniform tessellation or Archimedean tessellation, is a type of tessellation or tiling of the plane where regular polygons are used to fill the space.

In a semi-regular tessellation, the arrangement of polygons at each vertex is the same, but the types of polygons may vary.

To create a semi-regular tessellation, two conditions must be met:

- Each vertex (or corner) of the tessellation must have the same arrangement of polygons around it.

- The sequence of polygons around each vertex must be the same, although the actual polygons may differ.

There are exactly 8 known semi-regular tessellations, which are formed using regular polygons.

These tessellations include combinations of triangles, squares, hexagons, and dodecagons (12-sided polygons). Some examples of semi-regular tessellations include the honeycomb pattern and the tiling known as "Truchet tiles."

As for the question of why there aren't infinitely many semi-regular tessellations, it is because the arrangement and combination of regular polygons at each vertex are constrained.

The conditions for a semi-regular tessellation limit the possibilities for the types and arrangements of polygons. While there are many ways to arrange polygons around a vertex, the number of distinct arrangements is finite.

Thus,

A semi-regular tessellation is a tiling of the plane using regular polygons where the arrangement at each vertex is the same but the types of polygons may vary.

There are 8 known semi-regular tessellations, and there is a finite number of possibilities due to the constraints on the arrangements of polygons.

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Answer:

Actually the correct answer is the last option.

Step-by-step explanation:

I just took the quiz on edge

The function given in the option (4) has the steepest slope.

For option (1)

Let's calculate the slope for given values of x and y in option (1)

First, let's consider the points (3,10) and (6,13):

[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]

[tex]x_2-x_1=6-3=3[/tex]

and [tex]y_2-y_1= 13-10 =3[/tex]

Now, the formula for slope is:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

So, for these points,

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Next, for points (6,13) and (9,16):

[tex]x_2-x_1=9-6=3[/tex]

and [tex]y_2-y_1=16-13 =3[/tex]

then, slope is:

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Similarly, for points (9,16) and (12,19):

Slope is 1.

Hence, for the data given in option (1), slope is 1.

Now for option(2);

From the given graph, we can see the co-ordinates are (1,0) and (0,-2)

[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]

[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]

Thus, the slope is:

[tex]m = \dfrac{-2}{-1}[/tex]

[tex]m=2[/tex]

Now for option (3):

From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)

[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]

[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]

Thus, the slope is

[tex]m = \dfrac{1}{0.5}[/tex]

[tex]m =2[/tex]

Now, for option (4):

First, let's consider the points (2, -4) and (4, -12)

[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]

slope is:

[tex]m = \dfrac{-8}{2}[/tex]

m =-4

Now, for points  (4, -12) and (6, -20):

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]

Then, the slope is:

[tex]m= \dfrac{-8}{2}[/tex]

m = -4

Similarly, for points (6, -20) and (8, -28):

Slope is -4.

That means for the data given in  option (4)  slope is -4.

Hence, the slope for the option (4) is steepest.

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188 is the answer of questions

Answer:

equilateral acute

Step-by-step explanation:

Answer:

Equilateral Acute Triangle

Step-by-step explanation:

Answer:

the answer is 6 just check it

Answer:

5/6x - 1/3 > 4/3

Multiply through by 6 you will get

5x - 2 > 8

5x > 8 +2

5x > 10

= x > 2

{ x : x > 2 }

Hope this helps.

Answer:

C x > 2

Step-by-step explanation:

Took the quiz

The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

[tex] {3x}^{2} + 2x[/tex]

Solution,

[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]

hope this helps...

Good luck on your assignment..

Answer:

3x²+2x

Step-by-step explanation:

=> x(3x+2)

Using distributive property

=> (x*3x)+(x*2)

=> 3x²+2x

Answer:

EF = 6

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(4+2x) * 4 = (5+x) * 5

Distribute

16+8x = 25+5x

Subtract 5x

16+3x = 25

Subtract 16

3x = 25-16

3x = 9

Divide by 3

x = 9/3

x=3

We want EF

EF = 2x = 2*3 = 6

This can be shortened to "x intercepts are -1 and -11" since in every case, the y value is always 0 for any x intercept. There's no need to state the y coordinate since it's always 0.

We find this by solving (x+1)(x+11) = 0 for x using the zero product property

(x+1)(x+11) = 0

x+1 = 0 or x+11 = 0

x = -1 or x = -11

=================================

This is the result of computing y = (0)^2+12(0)+11. Due to how easy it is to work with 0, we basically just erase the  (0)^2+12(0) portion and we're left with 11 as our y intercept. This means you can erase the x^2+12x portion of the original equation to get the same result.