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Answer:

x = 45

Step-by-step explanation:

Note that:

The sum of the interior angles of a quadrilateral is 360°.

Angle: ADC+BAD+ABC+BCD = 360°

Thus, Substitute  ∠ABC = 3x, ∠BAD = (2x-5) , ∠ ADC = (x+15), ∠ BCD = 80 turn into ADC+BAD+ABC+BCD = 360° :

Also known as :

(x+15) +(2x-5) + 3x+80=360

Solving for x

Add the numbers

x + 90+2x+3x=360

Combine like terms

6x + 90=360

subtract 90 from both sides

6x = 270

x = 45

Hence the value of x = 45

Kavinsky

Answer:

C. 45

Step-by-step explanation:

1) Sum of the interior angles of any shape:

(n - 2) x 180, where n is the number of vertices of a shape. In this case, we have 4 vertices.

= (4 - 2) x 180

= 2 x 180

= 360°

2) Add all the given values equating to 360.

2x - 5 + 3x + 80 + x + 15 = 360

6x + 90 = 360

6x = 360 - 90

6x = 270

x = 270/6

x = 45

Answer:

1.) 400, all you have to do is subtract the two populations and it gives you the amount that it grew by.

2.) it took 2 years, because that is the difference between 2005 and 2007.

3.)if you could tell me the option then that might help? but it grew on an average of 200 students per year.

4.)1002 would be the answer because if it goes down by 200 a year, then you have to subtract 2002-1000 giving you the answer

Step-by-step explanation:

hope this helps.

Answer:

See below

Step-by-step explanation:

x = hours

Payless charges = 50 + 60x

Squad charges  = 80 + 50x    when are they equal ?

50 + 60x = 80 + 50x

 x = 3 hours

Surface area = 2 * ( 10 *5  + 5*3  + 3*10) =  190  ft^2  

Answer:

x can equal several things that would fit

-3

-6

or

6

Step-by-step explanation:

Answer:

Frequency is total number of complete cycle, made in a unit time.

Period is the time taken to complete a cycle.

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \bf \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

[distance between any successive Crest or trough]

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \bf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Answer:

25

Because its right

also I just took a test that has this problem.

Answer:

282 ft

Step-by-step explanation:

Area of 2 triangles = 6+6

= 12 ft

Area of 3 rectangles = 90+90+90

= 270 ft

therefore

the surface area = 12 + 270

= 282 ft

I think that I am right

Answer:

from my side it's blurry

Margin of error = 0.8226401

Confidence interval = (9.17736,10.82264)

We have given data for one week recorded for 6 plants.

With a sample standard deviation of 1 inch and a sample mean of 10 inches.

For this sample, it is given that,

Sample size = n = 6

Sample SD = s = 1

Sample mean = x = 10

At a 0.10 significance level, the critical point is with t-distribution (n-1)df=5 df,

t*  =2.015048

Margin of error = E=2.015048*s/ √n = 0.8226401

Confidence interval

= (9.17736,10.82264)

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Answer:

2

Step-by-step explanation:

The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.

Let x be the side of the square to remove. Then the volume of the box is:

V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³

To find the maximum volume, differentiate and set it to 0:

V'(x) = 324 - 144x + 12x²

0 = x² - 12x + 27

0 = (x - 9)(x - 3)

x = 3 or 9

When x = 3,

V"(x) =-144+24x

V"(3) =-144+72=-72<0

so volume is maximum at x=3

Therefore the box is 12x12x3 and the volume is 432.

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Answer:

V = 1/3(12×8×10)

Step-by-step explanation:

V= 1/3×base area×height

V = 960/3

V = 320cm^3

The volume of the pyramid is,

⇒ V = 320 cm³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Height of pyramid = 10 cm

Length of pyramid = 12 cm

Width of pyramid = 8 cm

Hence, We get;

The volume of the pyramid is,

V= 1/3 × base area × height

V = 1/3 (12×8×10)

V = 960/3

V = 320 cm³

Thus, The volume of the pyramid is,

⇒ V = 320 cm³

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Answer:

first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

Carter can line the books up on his bookshelf in 24 different ways.

common factors: 1, 2, 4

GCF: 4

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

Answer:

(7+3)

After that you do (6+8)

Explanation:

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

The answer is D

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]

Answer:

560 ft^2

Step-by-step explanation:

You need to find the surface area of the walls

wall 1 10*4 = 140

wall 2 10*4 = 140

wall 3 10*4 = 140

wall 4 10*4 = 140

140 +140 +140 +140= 560

The proportion of the workers earning more than $13 per hour is greater than the proportion earning less than $13 per hour.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.

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Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 4/3 x

So : product for two slopes = -1   means : m×4/3=-1

m = -3/4

now : y = -3/4 x+b

but this line :

through the point (4,2) : 2 =(-3/4)(4)+b....... b=5

conclusion :

the equation is : y = -3/4x +5

Step-by-step explanation:

but that is really, really simple.

is the problem that you don't know what a perimeter is ?

a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.

that means you would have to go along every side until you reach the starting point again.

therefore, the perimeter is simply the sum of all side lengths.

P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds

the height does not play any role in this (but it would be important to calculate the area).

I don't understand these huge numbers you have there in the " P =" line.

where are they coming from ? in any case they have nothing to do with this quadrilateral.

The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.

The number of bean bags in the instructor's box is 68.

Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.

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Answer:

5/24

Step-by-step explanation:

Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.

5/8 · 1/3

Hope that helps!

Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).

The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.

If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.

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Answer:

Step-by-step explanation:

hello :

p(x) = 5(x + 3)2 – 45

the vertex is the point : A(-3 ; -45)

minimum -45

the axis of symmetry  is the line when an equation is : x =  -3

Answer:

B. Obtuse

Step-by-step explanation:

An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.

Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132

Answer:

  35 cm

Step-by-step explanation:

Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).

The perimeter formula tells you the perimeter is ...

  P = 2(L +W)

__

The cardboard perimeter will be ...

  P' = 2((L +2) +(W +2)) = 2(L +W +4)

  P' = 2(L +W) +8

  P' = P +8

If the original perimeter is 27 cm, the cardboard perimeter is ...

  P' = 27 +8 = 35 . . . . cm

The perimeter of the cardboard is 35 cm.