The Phythagorean Theorem is

The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.

Then all the angles of the trapezium will be

Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have

Then the value of x will be

∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°

                        3x + 2x + 2x + 3x = 180°

                                              10x = 180°

                                                  x = 18°

Then the measure of all angles will be

∠ABC = ∠BAD = 3x = 3 × 18 = 54°

∠BCD = ∠ADC = 2x = 2 × 18 = 36°

More about the trapezium link is given below.

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Answer:

f(-1)=-1

Step-by-step explanation:

substitute -1 for x:

f(-1)=1-(-1)^2+(-1)^3

then solve,

f(-1)=1-1-1

f(-1)=-1

If the data values are as shown in the picture I have attached, then the following should help.

Answer: 226.56  m²

Step-by-step explanation:

  We need to find the area of three rectangles and two triangles.

    The triangles: 34.56 m²

A = [tex]\frac{B*H}{2}[/tex]

-> Since they are both congruent, we will skip dividing by two

A = B * H

A = 7.2 * 4.8

A = 34.56 m²

   The rectangles: 192 m²

A = L * W

-> We have two that are congruent, and one that is not

A = 10 * 6 * (2, since there are two)

A = 120 m²

-

A = L * W

A = 7.2 * 10

A = 72 m²

-

72 m² + 120 m² = 192 m²

   Total surface area:

34.56 m² + 192 m² = 226.56  m²

Using the Pythagorean theorem:

c = sqrt(8^2 + 7^2)

c = sqrt(64 + 49)

c = sqrt(113)

c = 10.6

Answer:

The answer is D

Step-by-step explanation:

If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)

Answer: choice d

Step-by-step explanation: i asked my mom :/

Answer:

-x +x^ + 1

Step-by-step explanation:

s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )

2x + 1 + x^ - 3 x

2x - 3x + x^ + 1

-x + x^ + 1

Answer:

4/6 = 6/9

Step-by-step explanation:

Because 4/6 = 2/3 and 6/9 = 2/3

Answer:

4/6 = 6/9

Step-by-step explanation:

Answer:

622.13 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 22

h = 11

r = ½ of 20 = 10

Plug in the value into the equation

Area = 22*11 + π*11²

Area = 242 + π*121

Area = 622.13271108 ≈ 622.13 square units (nearest tenth)

Answer:

Step-by-step explanation:

556.2

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Triangles is a 3-D shape with 3 sides and angles.  The types of triangle that we have include;

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

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Step-by-step explanation:

x - 25 = 75

=> x = 75 + 25

=> x = 100

x + 19 = 50

=> x = 50 - 19

=> x = 31

Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Answer:

if it is the area your talking about, but if it is the perimeter its 54

Step-by-step explanation:

Answer:

8 kilometers in one hour

Step-by-step explanation:

4:30/4

30 [tex]divided[/tex] by 4

7.5

4 divided by 4

1

7.5 minutes to 1 kilometer

since there are 60 minutes in a hour

60/7.5 = 8

8 x 1 = 8

Answer:

B. Circumference  = 10r feet, area = 25r feet

Step-by-step explanation:

C = [tex]\pi[/tex] x 10

C = 10n

A = n x 5x5

A = 25n

Answer:

6

Step-by-step explanation:

Answer:

30.6716 feet

hope it helps you

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~

Answer:

C. 31 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

[tex]\frac{29}{4}[/tex] · 2² + ( [tex]\frac{17}{2}[/tex] - 2) ÷ 3

2. Calculate within the parenthesis:

[tex]\frac{29}{4}[/tex] · 2² + [tex]\frac{13}{2}[/tex] ÷ 3

3. Calculate the exponent:

[tex]\frac{29}{4}[/tex] · 4 + [tex]\frac{13}{2}[/tex] ÷ 3

4. Multiply and divide (left to right):

29 + [tex]\frac{13}{2}[/tex] ÷ 3

29 + [tex]\frac{13}{6}[/tex]

5. Add:

[tex]\frac{187}{6}[/tex]

6. Convert the improper fraction to a mixed number:

= 31 [tex]\frac{1}{6}[/tex]

hope this helps!

[tex]w = 12.8 \: ft[/tex]

[tex]l = 4 \: ft[/tex]

[tex]v = 711.68 \: {ft}^{3} [/tex]

The height of the given rectangular prism.

[tex]v = lbh[/tex]

[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]h = \frac{711.68}{51.2} [/tex]

[tex]h = 13.9 \: ft[/tex]

Therefore, the height of the given rectangular prism is 13.9 feets.

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

Answer:

x = 88 degrees

Step-by-step explanation:

Its really easy. All you have to do is subtract all the known angles from 360 since a quadrilateral has 360 degrees

360 - 106 - 114 - 52 = 88

Hope this helped!

Answer:

x = 88°

Step-by-step explanation:

                                        x + 52 + 114 + 106     = 360°

                                                        x   + 272     = 360

                                                                       x = 360 - 272

                                                                      [tex]\sf \boxed{x= 88^ \circ}[/tex]

Answer:

66

Step-by-step explanation:

84 = mean + 3sd

60 = mean - sd

sd = mean - 60

84 = mean + 3(mean - 60)

84 = mean + 3mean - 180

264 = 4mean

mean = 66

Answer:

8 & 1/3 yards equals 25 feet

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

Explanation:

If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.

We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3

Now plug in x = 1 and y = 6 from the point (1,6)

y=ax^3+bx^2+3

6=a(1)^3+b(1)^2+3

6 = a+b + 3

a+b = 6-3

a+b = 3

Now plug in the coordinates of (-1,4) which are x = -1 and y = 4

y=ax^3+bx^2+3

4=a(-1)^3+b(-1)^2+3

4 = -a + b + 3

-a+b = 4-3

-a+b = 1

-----------------------------

Here are the two equations we're interested in

a+b = 3

-a+b = 1

We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4

We're left with 2b = 4 and it solves to b = 2

Use any of the equations involving 'a' and b to determine that a = 1

-----------------------------

To summarize we have

a = 1

b = 2

c = 3

This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.

Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.

Answer: 6.96 in^2

Step-by-step explanation:

Trapezoid Area

A = [tex]\frac{a+b}{2} h[/tex]

= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]

= [tex]\frac{4.8}{2} * 2.9[/tex]

= 2.4 * 2.9

= 6.96

Answer:

10.

Step-by-step explanation:

As the 2 Figures are similar the correspond sides are in the same ratio.

We see that BC = 5.0 and FG = 2.5, so each side in EFGH is 1/2 of its correspond side in ABCD.

Perimeter of EFGH , therefore, is

2.5 + 2 + 4 + 1.5

= 10.

Answer:

should be 6cm

Step-by-step explanation:

if you are looking at a cube

Answer:

6 cm 2

Step-by-step explanation:

Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

This is the total distance of all the sides in a shape. Due to this, the general formula is:

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

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