Based on the graph, what is true about polygon ABCD?

a. The polygon is a hexagon
b. The area of the polygon is 96 square units
c. The perimeter is 20 unit
d. Side AD is congruent to side DC

\( \: \: \: \: \: \: \)

answer

\(a = \frac{9}{2} - \frac{1}{2} b - \frac{1}{2} c\)

answer

\(a = 8 - 2b - c\)

answer

\(a = 11 - b - 2c\)

Answer:

You can denote the width of the rectangle as x,

than the length of the rectangle will be 2x

and the perimeter of the rectangle will be two length plus two width and it should be equal to 54 in

and the equation will look   2(2x)+2x=54

solving the equation 6x=54, x=9in

So the width of the  rectangle is 9in and the length is 9*2=18in

and the area of the rectangle is 9*18=162 sq in.

Answer:

Step-by-step explanation:

Comment.

You need to use the addition formula when the last term is not given. Mind you, you could find it, but it is just as easy to get the answer without it.

Givens

a1 = 2

d = 3

n = 36

Formula

Sum = n(a1 + (n - 1)* d)/2

Solution

Sum  =  36(2 + (36 - 1)*3 )/2                Combine the brackets

Sum = 36 (2 + 35*3 )/2

Sum = 36(2 + 105) /2                          Combine the brackets

Sum = 36 * 107/2                                    

Sum = 3852 /2

Sum = 1926

Answer

1926

Step-by-step explanation:

Find the volume of the 2 cubes:

\(10 \times 15 \times 20 = 3000\)

\(3 \times 3 \times 3 = 27\)

Subtract the second cube (27) from the first cube (3000) as the second cube is taking up space (volume) in the first cube.

\(3000 - 27 = 2973\)

The volume of the aquarium is 2973in^3

Answer:

12 boys

Step-by-step explanation:

2 : 1 = 24 : 12

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

Example 2 Evaluate 5x2 − 2( y + 1) + 9 when x = 2 and y = 1. 5x2 − 2( y + 1) + 9 = 5(2)2 ... In this lesson, you will. ○ use addition or subtraction to solve equations. ○ ... So, the value x = 4 is a solution of the equation x + 3 = 7.

Step-by-step explanation:

Answer:

2 and 2/3

Step-by-step explanation:

i used my math skillz

Answer:

17

Step-by-step explanation:

...................

Answer:

4/15

Step-by-step explanation:

To answer this question, we're gonna want to convert the fractions so that they have the same denominator (the number on the bottom of the fraction) and it's easy for us to visualize what's going on. AKA, we need to find the least common denominator (LCD).

We're going to multiply 2/5 and 1/3 by a number so they have the same denominator. In this case, that would mean multiplying them by the other fractions denominator. So multiplying 2/5 by 3 and 1/3 by 5.

2/5x3= 6/15.    1/3x5=5/15.

Now we're viewing the book in 15ths instead of both 5ths and 3rds.

6+5=11, so we know that 11/15 of the book has been read.

15/15-11/15=4/15

4/15 of the book is left to read.

Hope this explanation helped!

Answer:

15

Step-by-step explanation:15

Answer:

C and B

Step-by-step explanation:

A. 12x = 3, x =1/4

C. 10 + x = 14, x = 4

B. 6x = 24, x =4

D. x -4 = 8, x =12

Only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
A
12x = 3

Simplifying the above expression,
12x = 3
x = 3 / 12
x = 1 / 4

Similarly simplifying all the expressions gives,
B. x = 4
C. x = 4
D. x = 12

Thus, only the expression mentioned in B and C gives the solution as 4. Options B and C are correct.

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Answer:

6 doughnuts

Step-by-step explanation:

5.00-.30= 4.70

4.70/.70=6.71

Shirley can buy 6 doughnuts if she wants them all in one carryout box.

To determine the number of doughnuts Shirley can buy, we need to understand the concept of word problems.

What is Word Problems?

Word Problems in Mathematics involves the use of mathematical concepts and understanding in solving real-life cases.

From the parameters given:

Supposed Shirley has $5.00 to spend.

But, we are told he wants all of it in one carryout box. So, if he first buys 1 doughnut with its carryout box, she has spent $1, leaving her with $4.

Now, we need to divide the remaining $4 with the charges of doughnuts;

i.e.

= $4/$0.7

= 5 doughnuts with a remaining amount of $0.5

Now, the total amount of doughnuts bought is

= (1 + 5) doughnuts

= 6 doughnuts

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Answer:

First recipe needs = 3/8

Second recipe needs = 5/8

Step-by-step explanation:

Given:

Two recipes needs butter = 1 pound

One recipe needs 1/4 pound more

Find:

Each recipe needs butter

Computation:

Assume;

First recipe needs = x

Second recipe needs = x + (1/4)

Two recipes needs butter = First recipe needs + Second recipe needs

x + x + (1/4) = 1

2 x = 1 - (1/4)

2 x = 3/4

x = 3/8 pound

First recipe needs = 3/8

Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8

Second recipe needs = 5/8

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

The gas has a capacity of 22 litres at 0 degrees Celsius and increases by 225 litres for each degree above that.

Volume is the amount of space a thing takes up, whereas capacity is the amount of substance it can hold, such as a solid, liquid, or gas. Volume is typically measured in cubic units, whereas capability can be measured in virtually any other unit, such as litres, gallons, pounds, and so on.

According to the problem statement, the volume of the gas and the temperature T in degrees Celsius have a direct relationship. Furthermore, we know that the gas expands by 225 litres for every degree of temperature rise. With this knowledge, we can create the equation shown below:

V = 22 + 225T

where T is indeed the temperature is degrees Celsius and V is the gas's volume in liters.

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The linear function would be y = -4x - 7 which passes through the points (- 2 , 3 ) and ( - 3 , 5 ).

Given that linear function passes through the points (- 2 , 3 ) and ( - 3 , 5 ).

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -2, y₁ = 3

x₂ = -3, y₂ = 5

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 3 = (5 - 1)/(-3 - (-2))[x -(-2)]

⇒ y - 3 = (4)/(-1)[x +2]

⇒ y - 1 = -4(x +2)

⇒ y = -4x - 8 + 1

⇒ y = -4x - 7

Therefore, the linear function would be y = -4x - 7 which passes through the points (- 2 , 3 ) and ( - 3 , 5 ).

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Answer:

12

Step-by-step explanation:

x is the number of questions answered correctly in that section

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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The values of x that make this expression equal to zero are x = -b/a and x = -d/c

To find the values of x that make the expression (ax+b)(cx+d) equal to zero, we need to use the Zero Product Property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, to find the values of x that make (ax+b)(cx+d) equal to zero, we set each factor equal to zero and solve for x:

ax + b = 0 or cx + d = 0

Solving the first equation for x, we get:

ax + b = 0

ax = -b

x = -b/a

Solving the second equation for x, we get:

cx + d = 0

cx = -d

x = -d/c

Therefore, the values of x that make the expression (ax+b)(cx+d) equal to zero are x = -b/a and x = -d/c.

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Step-by-step explanation:

We know there are probably more than 100 piano tuners in NYC, but almost definitely less than 1000.

Got this from a online article.

Answer:

There are 240 piano tuners in New York. There are less than 1,000 but, there are more than 100... There are at LEAST 100 tuners in New York. Therefore, that means that there are 240 piano tuners in New York.

Step-by-step explanation:

I know that this is true because I do my research :)

If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the selling price of a towel is x, according to the given condition,

5 = x - 15% of x

5=x-0.15x

5=0.85 x

x=5/0.85

x=5.88

Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

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Answer:

D

Step-by-step explanation:

Answer:

10.4 cm

Step-by-step explanation:

Since the area is half of the base multiplied by the height A = 1/2 * b * h, the height can be found from h = 2A/b

h = (2 * 83.72 )/16.1 = 10.4

Answer:26.02

Step-by-step explanation:83.72-(16.1x2)/2=26.02 (sry I know it’s confusing but that’s how I do math lol) brainlyest plz plz I need it for my rank

Answer:

ooage booge ohag

Step-by-step explanation:

oomago ooga booga

Answer:

I got a universal translator and got "Hello in caveman goodbye in caveman"

Step-by-step explanation:

The decimal that represents the unshaded pοrtion of the mοdel is 0.

A fractiοn is a ratiο between twο amοunts οr a numerical representatiοn οf a pοrtiοn οf a whοle. It is written as a ratiο οf twο integers, where the numeratοr, οr tοp number, denοtes the pοrtiοn οr ratiο being evaluated, and the denοminatοr, οr bοttοm number, denοtes the entire οr sum.

we know that  

Camille shaded 18/30 of a model

That means

The total parts of the model is equal to 30

The shaded parts of the model is 18

To find out the unshaded parts of the model subtract the shaded parts from the total parts

30 - 18 = 12

and

12/30

= 0.4

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Complete question:

Camille shaded 18/30 of a model. Write the decimal that represents the unshaded portion of the model

Answer:

23/112

Step-by-step explanation:

......23 goes ontop of 112 like...23/112

Here are the awnsers

1. D ⅔

2.C 60%

Answer:

15 people/mi

Step-by-step explanation:

The population density of a region in Alaska is 3,000 people/200 mi.

We need to find the equivalent to the population density of this Alaskan region.

\(x=\dfrac{3000\ \text{people}}{200\ \text{mi}}\\\\x=\dfrac{30\ \text{people}}{2\ \text{mi}}\\\\x=\dfrac{15\ \text{people}}{\text{mi}}\)

So, the correct option is (c) "15 people/mi"

Answer:

mhm

Step-by-step explanation: