The lengths of the four sides of a quadrilateral (in meters) are consecutive even
integers. If the perimeter is 52 meters, find the value of the longest of the four side
lengths.

If the two angles corresponds, hence the value of x that makes them to be equal is 40

An angle is a point where two lines meet or intersect

Using the diagram below such that if the line a and b are parallel to each other hence the given angles are corresponding angles.

Equate both angles

2x - 20 = x +20

Collect the like terms

2x - x = 20 + 20

x = 20 + 20

x = 40

Hence the value of x that will make both angles correspond is 40

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Answer:

190 square feet

Step-by-step explanation:

25×4 + (25-5×2) × (10-4) = 25×4 + 15×6 = 100+90 = 190

the expression for the statement that is given will be 15 + 5 z.

We are given the statement that the sum of 15 and the product of 5 and z

We need to make the expression that represents the statement.

First we will find out that the product of 5 and z

So, we will multiply 5 with z.

We get that:

= 5 × z = 5 z

Now we have to find the sum of 15 and 5 z

For this, we will add both the numbers.

We get that:

= 15 + 5 z

Therefore. we get that, the expression for the statement that is given will be 15 + 5 z.

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Answer:

1,000

Step-by-step explanation:

25% as a decimal is .25

.25 x 4000

1,000

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25\% \times 4,000}\\\\\mathsf{= \dfrac{25}{100}\times 4,000}\\\\\mathsf{= \dfrac{25\div25}{100\div25}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1}{4}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1\times4,000}{4\times1}}\\\\\mathsf{= \dfrac{4,000}{4}}\\\\\mathsf{= 4,000\div4}\\\\\mathsf{= 1,000}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{1,000}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

23.4%

Step-by-step explanation:

10 = (2.34 / 10) x 100% = 23.4%.

The comparison of the numbers are √160 > √115.1

The numbers are given as

square root of one hundred sixty and one hundred fifteen ninths

Rewrite properly as

√160 and √115.11

By comparing the radical of both numbers, we have

160 and 115.11

160 is greater than 115.11

Hence, the comparison of the numbers are √160 > √115.11

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The number of beads of each type that are on each necklace will be 6 beads.

It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.

Therefore, it van be seen that the highest common factor between 24 and 30 is 6.

Therefore, the number of beads of each type that are on each necklace will be 6 beads.

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Average cost of a gallon of gas in Texas in 2013 was $3.42.

Given,

Average cost of a gallon of gas in Texas in 2010 = $2.53

From 2010 to 2013 average cost of regular gasoline in Texas increased by 35%

We have to find the average cost of a gallon of gas in Texas in 2013:

= Average cost in 2010 × (135/100)

= 2.53 × (135/100)

= 2.53 × 1.35

= 3.4155

≈ 3.42

That is, the average cost of a gallon of gas in Texas in 2013 was $3.42 approximately.

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System of equation are,

9x + 3y + 12z = $45.75

5x + 6y + 8z = $41.50

12x + 4y + 50z = $128

Where, x is number of boxes of pencil,

           y is number of boxes of markers.

           z is number of packages of notebook paper.

What is System of equation?

System of equation is two or more equations to be solved together. For a system to have a unique solution, the number of equations must equal the number of unknowns.

Now, Let number of boxes of pencil = x

Number of boxes of markers = y

Number of packages of notebook paper = z

Since, Mr. Smith bought nine boxes of pencils, three boxes of markers, and twelve packages of notebook paper for $45.75.

Hence, In expression is written as;

9x + 3y + 12z = $45.75

Ms. Santana purchased five boxes of pencils, six boxes of markers, and eight packages of notebook paper for $41.50.

Hence, In expression is written as;

5x + 6y + 8z = $41.50

Mrs. Baker spent $128 on twenty boxes of pencils, four boxes of markers, and fifty packages of notebook paper.

Hence, In expression is written as;

12x + 4y + 50z = $128

So, System of equation are,

9x + 3y + 12z = $45.75

5x + 6y + 8z = $41.50

12x + 4y + 50z = $128

Where, x is number of boxes of pencil,

           y is number of boxes of markers.

           z is number of packages of notebook paper.

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Answer:

Step-by-step explanation:

let the three consecutive odd numbers be x,x+2,x+4

9+x+4 = 2(x+x+2)

thus x =

By using the fact that the two lines with the purple arrow are parallel, We can conclude that the angles are y = 133° and x = 47°

First,  notice that the two lines with the purple arrow are parallel lines, and these lines are intersected by the same line, then the 4 angles formed in the above line are the same ones than in the below line.

So, if the angle in the fourth quadrant of the above intersection is the same as the angle in the fourth quadrant of the below intersection, then we can see that:

y = 133°

And x + y should be equal to 180°, then:

133° + x = 180°

x = 180° - 133° = 47°

We can conclude that the angles are y = 133° and x = 47°

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The reasoning isn't correct.

It should be noted that the fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries

This implies that the ratio is:

= 2/4

= 1/2

= 1:2.

Therefore when Isaiah only has 1 cup of pineapple, the appropriate strawberry will be:

= 1 × 2 = 2

He's wrong as he doesn't need 3 cups.

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The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance on the map between Yappy city and Quiet city is 23 cm

and,

5cm = 2 miles

now, for 1 cm on map it is equal to 2/5 miles of actual distance.

Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :

actual distance :

2/5 x 23 = 9.2 miles

Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.

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first we need to know 3 percent of 800.

0.03 times 800 = 24.

we get about 24 interest every year.

now for four years. 800 + 24 = 824.

824 times 4(implying four years) = $3296

The value of her investment at the end of four years is $3296

The third term of a given geometric sequence based on common ratio 2 is 8.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

Given a geometric sequence.

First term = 2

Second term = 4

Common ratio = Next term / previous term

Common ratio = 4/2 = 2

So,

Common ratio = Third term / second term

The third term = common ratio × second term

The third b = 2 × 4 = 8

Hence "The third term of a given geometric sequence based on common ratio 2 is 8".

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Answer:

hope this helps you

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

answer : (f-g)(x)= -x^2+2x+8

it is actually 1:1 that is 1 all over one

Answer: x% of 120=3.6

Step-by-step explanation:

20% of x is 15----   .20*15=3, therefore x=3.

3%=0.03, 0.03*120=3.6

Accoreding to the given statement,

The simple method to find the value of √20 is to factorise the number under the root.

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

According to the given value;

The prime factorisation of 20 = 2 x 2 x 5 = 2 2 x 5

Thus, here we can see, 20 is not a perfect square, because we cannot pair digit 5 after factoring 20.

Only 2 2 can be taken out of the root.

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The table represents the direct relationship y = - 3 · x. (Correct choice: C)

Two variables have a direct relationship if and only if the following model is observed:

y ∝ x

y = k · x

Where k is the constant of proportionality.

The table may represent a direct relationship if and only if each ordered pair has the same constant of proportionality. Now we proceed to evaluate the table:

k₁ = - 3 / 1

k₁ = - 3

k₂ = - 9 / 3

k₂ = - 3

k₃ = - 15 / 5

k₃ = - 3

As k₁ = k₂ = k₃, then the table represents the direct relationship y = - 3 · x.

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I could be wrong, but your answer should be: [tex]50h^2-100h-150[/tex].

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

Hope this helps!

Have a great day and God bless! :)

Answer:

[tex]50h^{2} -100h -150[/tex]

Step-by-step explanation:

Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.

[tex]5(10h^{2} -20h -30)[/tex]           Given

[tex]50h^{2} -100h -150[/tex]            5x10=50, 5x(-20)=-100, and 5x(-30)=-150

The real world representation of the given statement is the expression 3x/8

From the question, we are to write the real world description of the given statement.

The given statement is

"the quantity three times x end quantity divided by 8"

To write the real world description of the given expression, we will write the expression as a mathematical statement

Writing the expression as a mathematical statement

'quantity three times x" can be written as

3 × x

= 3x

Then,

"the quantity three times x end quantity divided by 8" becomes

3x ÷ 8

= 3x/8

Hence, the real world representation of the given statement is 3x/8

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Using scientific notation, the number of significant digits of the product is given as follows:

B. 3.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers in scientific notation are multiplied, we have that:

For this problem, the product is given by:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3[/tex]

Multiplying the bases and adding the exponents, we have that:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3 = 5.2187 \times 2.05 \times 3.4 \times 10^{-3 + 7 + 3} = 42.8 \times 10^7[/tex]

42.8 has to be divided by 10 to assume for the base have only one digit, thus, to compensate, we have to add one to the exponent(equivalent to multiply by 10), hence:

[tex]42.8 \times 10^7 = 4.28 \times 10^8[/tex]

Hence, considering the rounding, the number has 3 significant digits(4, 2 and 8), and option B is correct.

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Answer:

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

Distribute and simplify, then find the x-intercepts:

The x- intercepts are:

Since the leading coefficient is positive, the graph opens up, so the interval between the x-intercepts is negative:

  Solving the problem by Dividing and simplifying we have as a result 2x⁶y³

  A division is a basic mathematical operation, which has the purpose of dividing a number or element into two or more equal parts, as follows:

Dividend |_divisor

Divisions can also be expressed as a fraction as : a/b

Simplification is a process of reducing terms to expressions, which do not generate changes or values.

The algebraic expression we will divide and simplify to its smallest expression is:

∛64x⁹y³ / ∛8 x³

We solve the cube roots and substitute results, to split terms

4x⁹y³ / 2x³

 we can see that it is an expression that has two variables

2x⁹⁻³y³

2x⁶y³

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Answer:

4.09

Step-by-step explanation:

n = 548/134