Below is a rhombus with an equilateral triangle. Find the measure of a.

Answer:

m∠A = 18

Step-by-step explanation:

Formula:

the sum of the interior angles of a triangle is 180.

____________________

According to the formula :

    [tex]m\angle A\ +\ m\angle B\ +\ m\angle C=180[/tex]

⇔ x - 22  +  3x + 19  +  x - 17 = 180

⇔ 5x + (19 - 17 - 22) = 180

⇔ 5x + (2 - 22) = 180

⇔ 5x - 20 = 180

⇔ 5x = 180 + 20

⇔ 5x = 200

[tex]\Leftrightarrow x = \frac{200}{5} \\\Leftrightarrow x = 40[/tex]

Conclusion:

m∠A = x - 22 = 40 - 22 = 18

Answer:

The median is 46

Step-by-step explanation:

To find the median, you must first order the numbers, from left to right, lowest to highest:

24, 27, 29, 38, 54, 61, 68, 74

Next, we have to find the number in the middle. We can do this by counting inwards one and crossing out each of the lowest and highest each time we get closer to the middle/center.

24, 27, 29, 38, 54, 61, 68, 74

   ,  27, 29, 38, 54, 61, 68,    

   ,      , 29, 38, 54, 61,      ,    

   ,      ,      , 38, 54,     ,      ,    

Now, if there is no exact middle, we would add them add divide by 2. If there was an exact middle, that would be the answer. But there isn't.

38 + 54 = 92

92 / 2 = 46

The median is 46

Answer:

-2x

filler filler filler

Answer:

Simplifying

6 + -8x = 7x + -9x + -36

Reorder the terms:

6 + -8x = -36 + 7x + -9x

Combine like terms: 7x + -9x = -2x

6 + -8x = -36 + -2x

Solving

6 + -8x = -36 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

6 + -8x + 2x = -36 + -2x + 2x

Combine like terms: -8x + 2x = -6x

6 + -6x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0

6 + -6x = -36 + 0

6 + -6x = -36

Add '-6' to each side of the equation.

6 + -6 + -6x = -36 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -36 + -6

-6x = -36 + -6

Combine like terms: -36 + -6 = -42

-6x = -42

Divide each side by '-6'.

x = 7

Simplifying

x = 7

Answer:

x = 7

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Answer:

Yes, if there are 6 candies it can be divided equally by 3 and not 9.

Step-by-step explanation:

Answer:

512cm

Step-by-step explanation:

same length of 128 4 times. 512

Answer:

27.2 m³

Step-by-step explanation:

Given:

Formula:

[tex](\text{Base edge})^{2} \times \dfrac{\text{Height}}{3}[/tex]

Replace the base edge and the height in the formula:

[tex]\implies (\text{4})^{2} \times \dfrac{\text{5.1}}{3}[/tex]

Evaluate the volume of the prism:

[tex]\implies (\text{4})(4) \times 1.7[/tex]

[tex]\implies 16 \times 1.7[/tex]

[tex]\implies 27.2 \ \text{m}^{3}[/tex]

Answer:

27.2 cm³

Step-by-step explanation:

Volume of a square pyramid

[tex]\sf V=\dfrac13a^2h[/tex]

where:

Given:

[tex]\sf \implies Volume=\dfrac13\cdot 4^2\cdot5.1=27.2\;cm^3[/tex]

Answer:

1/2

Step-by-step explanation:

there are 3 even numbers including 2. there are 6 possible outcomes. 3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

Answer:

904.8 units^3

Step-by-step explanation:

The formula for the area of a circle is [tex]4/3 \pi r^3[/tex]

By the picture we know r = 6

Thus our answer is 4/3 * π * [tex]6^3[/tex]

This is the same as 4/3 * 216 * π = 904.778684234

Rounding to the nearest tenth yields 904.8 units^3

Step-by-step explanation:

divide each by six

3a+4c

Answer:

6(3a+4c)

Step-by-step explanation:

GCF = 6

18a/6+24c/6

= 6(3a+4c)

Answer:

3

Step-by-step explanation:

The opposite sides are equal

2y+ 4  = 10

2y = 6

y = 3

The circumference of the original container is 12.57 inches.

The cirucmference of the original container is 12.57 inches less than the circumference of the new container.

The circumference of a cylinder is the distance round the cylinder. It is the perimeter of the cylinder.

The circumference of a cylinder = πD

Where:

The circumference of the original container = 22/7 x 4 = 12.57 inches

The circumference of the family sized container 12.57 x 2 = 25.14 inches

Difference in the circumference = 25.14 - 12.57 = 12.57 inches

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Answer: 12.57 for both

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

Check the picture below, now the distance from 2,0 to 4,0 there's no need to do much calculation since that's just 2 units, as you see there.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) ~\hfill d1=\sqrt{[ 1- 2]^2 + [ 4- 0]^2} \\\\\\ d1=\sqrt{(-1)^2+4^2}\implies \boxed{d1=\sqrt{17}} \\\\[-0.35em] ~\dotfill[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill d2=\sqrt{[ -1- 1]^2 + [ -2- 4]^2} \\\\\\ d2=\sqrt{(-2)^2+(-6)^2}\implies \boxed{d2=\sqrt{40}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) ~\hfill d3=\sqrt{[ 4- (-1)]^2 + [ 0- (-2)]^2} \\\\\\ d3=\sqrt{(4+1)^2+(0+2)^2}\implies \boxed{d3=\sqrt{29}}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~ + ~~\sqrt{17}~~ + ~~\sqrt{40}~~ + ~~\sqrt{29}~~\approx~~17.83}[/tex]

The perimeter of the polygon with the vertices L = (1, 4), P = (-1, -2),

N = (2, 0) and M = (4, 0) is approximately 17.93 units.

We have,

The polygon has the following sides:

LP, PN, NM, and ML.

The coordinates for each point are:

L = (1, 4)

P = (-1, -2)

N = (2, 0)

M = (4, 0)

The perimeter of the polygons.

= LP + PN + NM + ML

Using the distance formula for the distance between two points (a, b) and (c, d):

Distance = √((c - a)² + (d - b)²)

Let's calculate the distances between the points:

LP:

Distance(LP)

= √((-1 - 1)² + (-2 - 4)²)

= √((-2)² + (-6)²)

= √(4 + 36)

= √40

= 6.32

PN:

Distance(PN)

= √((2 - (-1))² + (0 - (-2))²)

= √((2 + 1)² + (0 + 2)²)

= √(3² + 2²)

= √(9 + 4)

= √13

≈ 3.61

NM:

Distance(NM)

= √((4 - 2)² + (0 - 0)²)

= √(2² + 0²)

= √4

= 2

ML:

Distance(ML)

= √((4 - 1)² + (0 - 4)²)

= √((4 - 1)² + (-4)²)

= √(3² + 16)

= √(9 + 16)

= √25

= 5

Now,

Perimeter = LP + PN + NM + ML

Perimeter ≈ 6.32 + 3.61 + 2 + 5 ≈ 16.93

Thus,

The perimeter of the polygon is approximately 17.93 units.

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Answer:

138/80

Step-by-step explanation:

5×5+3/5-3×16+14/16

28/5-62/16

28×16/5×16-62×5/16×5

448/80-310/80

448-310/80

138/80

The seahorse make a lot of babies because the male carries the babies while the female makes more eggs.

Mating is the process in which opposite or hermaphroditic organisms pair for reproduction.

During mating between the male and female seahorse mates, the female seahorse puts her eggs in the male pouch and the male fertilises the egg in his pouch. The eggs develop into baby seahorse in the father pouch.

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Answer:

c) 15

Step-by-step explanation:

Plugging in the value of x as 15 in the equation,

15-3 which is equal to 12

One of the factors of the given quadratic expression is (x+2).

The given quadratic expression is:

[tex]6x^{2} +7x-10[/tex]

Any expression of the form [tex]ax^{2} +bx+c[/tex] is called a quadratic expression where a≠0.

Splitting the middle term of the given expression

[tex]6x^{2} +12x-5x-10[/tex]

[tex]6x(x+2)-5(x+2)[/tex]

[tex](x+2)(6x-5)[/tex]

Hence, one of the factors of the given quadratic expression is (x+2).

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Answer:

b

Step-by-step explanation:

Answer:

44 [tex]m^{2}[/tex]

Step-by-step explanation:

As the shape contain triangle ,rectangle and square so we calculate the area of all these and then add up.

As one box = 1 [tex]m^{2}[/tex]

Area of Triangle= [tex]\frac{1}{2}*b*h[/tex]

b= 8, h=2

Area of Triangle= [tex]\frac{1}{2}*8*2[/tex]

Area of Triangle= [tex]8 m^{2}[/tex]

Area of Rectangle= [tex]l*w[/tex]

l=8,w=4

Area of Rectangle= [tex]8*4\\[/tex]

Area of Rectangle= [tex]32m^{2}[/tex]

Area of Square=[tex]a^{2}[/tex]

a=2

Area of Square=[tex]2^{2}[/tex]

Area of Square=[tex]4m^{2}[/tex]

Total Area=[tex]8 m^{2}[/tex]+[tex]32m^{2}[/tex]+[tex]4m^{2}[/tex]=44[tex]m^{2}[/tex]

When the slope is 0

This picture below shows some examples of equation with slope as 0

Answer:

horizontal

rise remains conserved

Step-by-step explanation:

Slope is 0

means

[tex]\\ \rm\dashrightarrow tan\theta=0[/tex]

[tex]\\ \rm\dashrightarrow \theta=tan^{-1}(0)[/tex]

[tex]\\ \rm\dashrightarrow \theta=0°[/tex]

Line will be parallel to x axis

Answer:

  -20/25

Step-by-step explanation:

To change a fraction to one with a different denominator, common factors can be removed or added to numerator and denominator as required.

__

-48/60 can be reduced to lowest terms by removing the common factor of 12. It can be made to have a denominator of 25 by adding a common factor of 5.

  [tex]-\dfrac{48}{60}=-\dfrac{4\cdot12}{5\cdot12}=-\dfrac{4}{5}\\\\=-\dfrac{4\cdot5}{5\cdot5}=\boxed{-\dfrac{20}{25}}[/tex]

__

Alternatively, the numerator of the desired fraction can be found by multiplying the given fraction by the desired denominator.

  numerator = 25×(-48/60) = -1200/60 = -20

  new fraction = -20/25

Answer:

B

Step-by-step explanation:

assume a right angle between the house and the ground.

then the ladder is the hypotenuse and distance from ladder to house is d

using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{d}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 15 ( divide both sides by 2 )

x = 7.5

distance from house to foot of ladder is 7.5 feet

V49 = 7 because 7²=49?

.........

Answer:

see explanation

Step-by-step explanation:

3)   line l and m are perpendicular so they intersect at 90 degrees

I labelled the angles that are the same measure.

2x + 23 = 90    subtract 23

2x = 67             divide by 2

x = 23.5 degrees

4) 2m + 66 = 120  subtract 66

2m = 54                 divide by 2

m = 27 degrees