match each statement to the reasons given for the geometric proof.

Given: ABCD is a parallelogram

Prove: Diagonals bisect each other(AE=CE and BE = DE
​

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

[tex]E'(x) = 10x + 11[/tex]

Substitute 5 for x

[tex]E'(5) = 10 * 5 + 11[/tex]

[tex]E'(5) = 50 + 11[/tex]

[tex]E'(5) = 61[/tex]

Hence, the expenditure for 5 days is $61

The cost of completing the job in 5 days will be 61 hundred dollars.

Given information:

A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by [tex]E'(x) = 10x + 11[/tex], where x is the number of days since the start of the job.

Now, the job is done for 5 days.

So, the expenditure if the job takes 5 days can be calculated as,

[tex]E'(x) = 10x + 11\\E'(5) = 10\times 5 + 11\\E'(5)=50+11\\E'(5)=61[/tex]

Therefore, the cost of completing the job in 5 days will be 61 hundred dollars.

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Answer:

18

Step-by-step explanation:

What you would do is becouse is says Product.

product mean the result of multiplication

so all you would do is just multiply 9 by 2 and your answer would be 18.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of your age and the number of pets you have is 18.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that you are 9 years old, also, you have two pets. Therefore, the product of your age and the number of pets you have is,

Product = your age x Number of pets you have

             = 9 x 2

             = 18

Hence, the product of your age and the number of pets you have is 18.

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Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

Answer:

A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.

Step-by-step explanation:

2x^3 + 4x^2 + 2x

First factor out the GCF

2x ( x^2 + 2x +1)

Then factor the inside by either using grouping or recognizing that this is a perfect square  a^2 + 2ab + b^2 = ( a+b) ^2

2x ( x^2 + 2 * x * 1 + 1^2)

2x ( x+1) ^2

Answer:

A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.

Step-by-step explanation:

2x^3+4x^2+2x

factor common term 2x

= 2x (x² + 2x + 1)

then factor x² + 2x + 1 to (x + 1)(x + 1)

= 2x (x + 1)(x + 1)

refining the equation

= 2x (x + 1)²

Answer:

(3+3)÷3+(3+3)÷3

=6÷3+ 6÷3

=2+2

=4

is correct answer

hope it helped you:)

Answer:

s = 17

Step-by-step explanation:

17 = 4(s - 14) - (-5)

distribute the 4

17 = 4s - 56 - (-5)

combine like terms

17 = 4s - 56 + 5

17 = 4s - 51

add 51 to both sides

68 = 4s

divide by 4

68/4 = 17

s = 17

Answer:

The last figure, line XY.

Step-by-step explanation:

The 4th figure represents a line.

A line is an undefined term in Geometry.

Variation Constant: k = 7/6

y = 245/6 when x = 7 and z = 5

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

Explanation:

"y varies jointly as x and z" means that y = kxz

We have (x,y,z) = (4,14,3) as one triple, so,

y = kxz

14 = k*4*3

14 = 12k

12k = 14

k = 14/12

k = 7/6 is the variation constant

The equation goes from y = kxz to y = (7/6)xz

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

Plug in x = 7 and z = 5 to find y

y = (7/6)xz

y = (7/6)*7*5

y = (7/6)*(7/1)*(5/1)

y = (7*7*5)/(6*1*1)

y = 245/6

Answer:

Step-by-step explanation:

12x-x=-36-12

----->11x=-48

------>x=-48/11

Answer:

x=4.37 This very easy and good question

Answer:

[tex]Straight\ Time\ Pay = \$392.2[/tex]

[tex]Overtime\ Pay = \$42.4[/tex]

[tex]Total = \$434.6[/tex]

Step-by-step explanation:

Given

Hourly Rate = $10.60

Overtime = half hourly rate

Hours worked = 37 hours

Overtime = 8 hours

Calculating the Straight Time Pay

[tex]Straight\ Time\ Pay = Hourly\ Rate * Hours\ Worked[/tex]

[tex]Straight\ Time\ Pay = 37 * \$10.60[/tex]

[tex]Straight\ Time\ Pay = \$392.2[/tex]

Calculating the Overtime Pay

[tex]Overtime\ Pay = Overtime\ Rate * Overtime\ Hours[/tex]

Since, overtime rate is half of hourly rate; we have

[tex]Overtime\ Pay = \frac{\$10.6}{2} * 8[/tex]

[tex]Overtime\ Pay = \$5.3 * 8[/tex]

[tex]Overtime\ Pay = \$42.4[/tex]

Calculating Total Pay

This is calculated by adding results in (i) and (ii)

[tex]Total = Straight\ Time + Overtime[/tex]

[tex]Total = \$392.2 + \$42.4[/tex]

[tex]Total = \$434.6[/tex]

Answer:

Expression: [tex]45[/tex] ÷ [tex]4\frac{2}{5}[/tex]  

Answer: 45 ÷ [tex]4\frac{2}{5}[/tex] = [tex]\frac{225}{22}[/tex]

Answer: C. not given

Step-by-step explanation:

formula for volume of sphere: V=(4/3)πr³

V=(4/3)πr³

V=(4/3)(3.14)(3)³

V=(4/3)(3.14)(27)

V=113 in³

Answer:

C. Not given

V≈ 113 in³

Step-by-step explanation:

The volume of a sphere can be found using the following formula.

[tex]V= \frac{4}{3} \pi r^3[/tex]

We know the radius is 3 inches and we are using 3.14 for pi. Therefore, we can substitute [tex]3 in[/tex] in for [tex]r[/tex] and [tex]3.14[/tex] in for [tex]\pi[/tex]

[tex]V= \frac{4}{3} *3.14* (3 in)^3[/tex]

Evaluate the exponent first.

(3 in)³=  3 in * 3 in * 3 in = 9 in² * 3 in = 27 in³

[tex]V= \frac{4}{3} *3.14* 27 in^3[/tex]

Multiply 3.14 and 27 in³

[tex]V= \frac{4}{3} * 84.78 in^3[/tex]

Multiply 4/3 and 84.78 in³

[tex]V= 113.04 in^3[/tex]

Round to the nearest cubic inch. The 0 in the tenth place tells us to leave the 113 as is.

[tex]V= \approx 113 in^3[/tex]

Since 113 cubic inches is not an answer choice given, the correct answer is C. not given

Answer/Step-by-step explanation:

The answer choices to this question showing possible set of data that could be represented by the box plot is missing.

However, here's how to find out which data set could be represented by the box plot.

The box plot given displays of a five-number summary consisting of,

1. The minimum value = 24

2. The second quartile = 27

3. The median value = 31

4. The third quartile = 33

5. The maximum value = 34

With these values known, you can easily find out which data set the box plot represents. Thus, the data set that has a min value of 24, max value of 34, and a median of 31 should be the data set that the box plot is representing. If you have more than one options having these same three values, then proceed to find the second and third quarter to determine which one is the most appropriate.

Answer:

the answer is b just b UwU

Step-by-step explanation:

Answer:

120 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a quadrilateral is 360 deg.

2t + 2t + t + t = 360

6t = 360

t = 60

m<Z = 2t = 2(60) = 120

Answer: 120 deg

Answer:

Time wastage and not formal enough

Step-by-step explanation:

He didn't have to wait till that time to ask the the question, besides keeping them there will cause uneasiness between the workers because it's already late.

Another point is that some people might not decided to give him the reply face to face, as they night sound rude or something more than that.

A more formal approach and less time consuming and less stressful method like may be filling of forms, papers , or complaint letters should be used instead.

Answer:

It's called the reasoning by the absurd.

Answer:

c is write answer.......

Answer:

49x

Step-by-step explanation:

5x+(11*4x)

5x+44x

49x

The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as 44x² + 5x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as shown below.

Hence, The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as 44x² + 5x.

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Answer:

-0.5

Step-by-step explanation:

Answer:

−8x+1  / 4x

Step-by-step explanation:

Answer:

0 is a:

Rational Number

Integer

Whole Number

Step-by-step explanation:

Answer:

0 is a:

Rational Number

Integer

Whole Number

Step-by-step explanation:

Answer:

Where's the question that you want to be solved?

The Range Rule of Thumb is a simple method to estimate the standard deviation based on the range of a dataset.

It states that approximately 68% of the data lies within one standard deviation of the mean, and about 95% of the data falls within two standard deviations of the mean.

In terms of underestimating or overestimating the actual standard deviation, the Range Rule of Thumb tends to underestimate the true standard deviation. This is because the rule assumes a uniform distribution of data within each standard deviation, which is not always the case in real-world datasets. In reality, data distributions can be skewed or have outliers, which the Range Rule of Thumb does not consider.

As a result, relying solely on the Range Rule of Thumb for estimating the standard deviation may lead to inaccuracies, especially in datasets with non-uniform distributions or significant outliers. More robust methods, such as the sample variance and standard deviation formulas, are preferred for accurate estimation.

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Answer:

r = 1.37 billion feet

Step-by-step explanation:

It is given that,

A proposed design for a habitable Mars colony is a hemispherical  biodome used to maintain a breathable atmosphere for the colonists.

The volume of biodome is 5.5  billion cubic feet of air.

It is in the shape of a hemisphere. The volume of a hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex], r = radius

V = 5.5 billion cubic feet

[tex]r^3=\dfrac{3V}{2\pi}\\\\r^3=\dfrac{3\times 5.5}{2\times 3.14}\\\\r=(\dfrac{3\times 5.5}{2\times 3.14})^{1/3}\\\\r=1.37\ \text{billion feet}[/tex]

So, the radius of the biodome is 1.37 billion feet.

The radius of the biodome if it is required to contain 5.5  billion cubic feet of air is 1.38 billion feet and this can be determined by using the formula of the volume of the hemisphere.

Given :

The following steps can be used in order to determine the radius of the biodome:

Step 1 - The formula of the volume of the hemisphere can be used in order to determine the radius of the biodome.

Step 2 - Formula of the volume of the hemisphere is given by:

[tex]\rm V =\dfrac{2}{3}\pi r^3[/tex]

where r is the radius of the hemisphere.

Step 3 - Now, substitute the value of V in the above formula in order to determine the value of 'r'.

[tex]\rm 5.5=\dfrac{2}{3}\pi r^3[/tex]

Step 4 - Simplify the above expression.

[tex]r^3=\dfrac{5.5\times 3}{2\pi}[/tex]

[tex]r = \sqrt[3]{\dfrac{16.5}{2\pi}}[/tex]

r = 1.38 billion feet

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Answer:

2

Step-by-step explanation:

Average Rate of Change: [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Step 1: Define variables

f(b) = 5

f(a) = 3

b = 2

a = 1

Step 2: Plug into formula

(5 - 3)/(2 - 1)

2/1

2

Answer:

[tex]x^{4}[/tex]

Step-by-step explanation:

Answer:

1732.2097 has 8 significant figures.

Step-by-step explanation:

Every non-zero digit is considered a significant number. Also, in some exceptional cases, zero can also be considered a significant figure if it is in the middle of two non-zero digits.

Just like in the number given, 1732.2097. We have 7 non-zero digits which certainly would be considered to be significant figures. Zero is between two significant figures, 2 and 9, therefore, it would also be referred to as a significant figure.

Therefore, the number, 1732.2097, has 8 significant figures.

Answer:

17 and 5

Step-by-step explanation: