4. Calculate the length of each line segment.
Round answers to the nearest tenth of a
unit, when necessary.

a) AB
b) CD
c) EF

The value of x is 41 . Option B

It is important to note that angles on a straight line are known to be supplementary.

Supplementary angles are defined as angles that sum up to 180 degrees.

From the information given, we have that;

Since angles on a straight line sum up to 180 degrees, we have that;

m∠PQS + m∠RQS = 180°

Substitute the values into the equation

3x - 3 + x + 19 = 180°

collect like terms

4x = 180 - 16

4x = 164

Make 'x' the subject of formula

x = 164/4

x = 41

Thus, the value of x is 41 . Option B

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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

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

Answer:

Area = 1725 ft²

Step-by-step explanation:

In this question, we have to calculate the area of the trapezoid. As mentioned in the hint, the formula for the area of a trapezoid is:

[tex]\boxed{\mathrm{Area = \frac{b_1 + b_2}{2} \times h}}[/tex],

where [tex]\mathrm {b_1}[/tex] and [tex]\mathrm {b_2}[/tex] are the two parallel bases of the trapezoid, and h is the height of the trapezoid.

As we can see in the diagram the two bases are 50 ft and 65 ft respectively, and the height is 30 ft. Using this information and the formula above, we can calculate the formula of the trapezoid:

[tex]\mathrm{Area = \frac{(50 + 65)\: \mathrm{ft}}{2} \times 30 \: \mathrm{ft}}[/tex]

        [tex]= \frac{115 \: \mathrm {ft}}{2} \times 30 \: \mathrm{ft}[/tex]

        [tex]= \bf 1725 \: ft^2[/tex]

Therefore, the area of the lawn is 1725 ft².

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:Scale factor is 10 , the second part is 50

Step-by-step explanation:

Hey there!

a^2 * b^2 * c^2

= 2^2 * 3^2 * 4^2

= 2 * 2 * 3 * 3 * 4 * 4

= 4 * 9 * 16

= 36 * 16

= 576

Therefore, your answer should be:

576

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:  the answer would be 54

Step-by-step explanation:

4 x 4 = 16

8 x 4 = 32

16 + 32 + 6 = 54

Answer:

190 square feet

Step-by-step explanation:

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

Reasoning At a butcher shop, Hilda bought beef and pork. She left with     18 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.

Hilda bought 18.32 pounds of pork.

Hilda purchased 18.32 pounds of pork, which is a terminating decimal, according to the conversion of an improper fraction to a decimal.

She left behind, in pounds, the following amount of meat:

[tex]18 \frac{8}{25}[/tex]

Now we have to convert the improper fraction to decimal, which is made adding the decimal fraction to the integer part, that is:

[tex]18 \frac{8}{25} =18+\frac{8}{25} = 18+0.32 = 18.32[/tex]

Therefore, the number of pounds of pork Hilda bought using a decimal number is 18.32.

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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:

(15-x)/3

"one third the difference of 15 and a number."

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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Answer:

yes just make sure to pay close attention

Question:

Rewrite 50,800,000 in scientific notation.

Answer:

5.08 x 10 to the power 7

Step-by-step explanation:

To get the answer you would first need to change the number into a decimal which would be 50800000.0 then you count the number of zeros in this case there is 7 but then number is not 1-10 so you could use the bumps to make it a decimal which is 5.08

I hope it helps you!

~XxBells is a cute girlxX~

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Answer:

5.08 times 10, to the power of 7

Step-by-step explanation:

Have a great rest of your day
The one and only
Mr. Universe

It is better to express the bull's weight as 1,700 pounds.

It should be noted that from the information given, the bull weighs 1,700 pounds.

It should be noted scientific notation isn't required in all situation.

In this case, it's better to express the bull's weight as 1,700 pounds. This aligns better with the weight.

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The area of the rectangular arena can be represented as A = (8y2 - 18y) square feet.

Here, we are given the dimensions of a rectangular arena, which are as follows-

Length = 4y - 9 feet

width = 2y feet

The area of a rectangle is given by the formula-

Area of a rectangle = length x breadth

Thus, in this case, area (A) can be calculated as follows

A = (4y - 9) * 2y

Now, we simplify the equation-

A = (4y)(2y) - 9(2y)

A = 8[tex]y^{2}[/tex] - 18y

Thus, the area of the rectangular arena can be represented by the following equation- A = (8[tex]y^{2}[/tex] - 18y) square feet.

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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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The check done confirmed that the equality is true since the value arrived at while solving the expression is same as the given value

Given data

[tex](1-2b)(1-5b+b^{2} )+(2b-1)(1-6b+b^{2} )=b(1-2b)[/tex]

breaking the expansion into 2 we have

[tex]=(1-2b)(1-5b+b^{2} )[/tex]

[tex]=(1)(1)+(1)(-5b)+(1)(b^2)+(-2b)(1)+(-2b)(-5b)+(-2b)(b^2)[/tex]

[tex]=1-5b+b^2-2b+10b^2-2b^3[/tex]

[tex]=-2b^3+11b^2-7b+1[/tex]

expanding this [tex](2b-1)(1-6b+b^2)[/tex] gives:

[tex]=2b^3-13b^2+8b-1[/tex]

adding both equation gives

[tex]= -2b^3+11b^2-7b+1 + 2b^3-13b^2+8b-1[/tex]

[tex]= -2b^2 + b[/tex]

[tex]= b - 2b^2[/tex]

[tex]= b (1 - 2b)[/tex]

Since the expansion gave same value we can say that the equality is true

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Answer: The equivalent decimal is 0.5

Step-by-step explanation: Ok, so 4/8 is a equivalent fraction to 1/2.

0.5 is the decimal form for one half.

I am also 100% sure I am right, so you have no worries :D

Answer: the answer is 0.5

Step-by-step explanation:

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 quarters and dimes that Brandon have will be 13 quarters and 9 dimes.

Based on the information given, the appropriate equation will be:

0.25q + 0.10d = 5.95 .... i

q = 2d - 5 .....

q = quarter

d = dime

From equation i, multiply through by 100

25q + 10 = 595

Put equation ii into i

25q + 10d = 595

25(2d - 5) + 10d = 595

50d - 125 + 10d = 595

Collect like terms

60d = 595 + 125

60d = 720

Divide

d = 720/60

d = 9

q = 2d - 5

q = 2(9) - 5

q = 18 - 5 = 13

Therefore, the quarters and dimes that Brandon have will be 13 quarters and 9 dimes.

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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:

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:

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

Answer:

This might help

Step-by-step explanation:

for C-The number of lines of symmetry in a regular polygon is equal to the number of sides.

for 3 I’m not as sure but all I know is that Y is greater than 90 degrees and x is also greater than 90 degrees

Answer:

1.24

Step-by-step explanation:

To round 1.237 to the nearest 100th ( you have to know the thousandth one. which the value is 1.237, ) which is 7 and equal to or more than 5. Therefore, the hundredths value of 1.237

[tex] \rho = \frac{mass}{volume} = \frac{12}{13} \approx0.923 \: g.cm {}^{ - 3} [/tex]

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours