Select the reason that best supports statement 5 in the given proof.
Given: m Prove: x=7

Select The Reason That Best Supports Statement 5 In The Given Proof. Given: M Prove: X=7

Answers

Answer 1

Answer:

C. Addition Property of Equality

Step-by-step explanation:

From step 4 to step 5, 20 is added to both sides.

Answer: Addition Property of Equality


Related Questions

2. Mick recorded the lengths of 10 Steller sea lions. Which length occurs most often?
3. Make a line plot. Draw a dot for each value. Stack dots for values that occur more than once.
Steller Sea Lion Lengths
−2
81/1/21
9 911 9/1/201
Length (in feet)
DATA
Steller Sea Lion Lengths (in feet)
9: 9 8/3/10
9
91/1
8
9 1/1 9 1/1/0
9/1/12
1438
9/3/3
91/1
18

Answers

Answer:feet occurs most often. Mick recorded the lengths of 10 Steller sea lions.

Step-by-step explanation:feet occurs most often. Mick recorded the lengths of 10 Steller sea lions.

Draw the right bisector of the line AB 7. 6 cm by using a pair of compasses

Answers

Right Bisector also known as Perpendicular Bisector is a line that bisects another line segment at a right angle, through the intersection point.

First we will draw a line segment AB = 7 cm with the help ruler, then with vertex A, by using compass take more than half of AB and draw arcs, one each side of AB and mark them X and Y and then with vertex B, by using compass with same length again, cut the previous arcs at X and Y respectively.

Now, with help of ruler join the point X and Y. Thus XY is the perpendicular bisector of line AB.

To know more about Perpendicular Bisector

https://brainly.com/question/4137998

#SPJ4

marvin the fly starts at $(0,0).$ each step, marvin moves one unit right or one unit up. he is trying to get to his home at $(4,6)$. however, at $(1,4),$ there is a frog that will eat him if he goes through that point. in how many ways can marvin reach his home?

Answers

There are 50 ways for Marvin to reach his destination without passing through the forbidden point.

To solve this problem, we can use the unitary method. This method involves breaking the problem down into smaller, simpler units to solve it more easily.

In this case, we can break the path from Marvin's starting point to his destination into two smaller paths. The first path is from (0,0) to (1,4), and the second path is from (1,4) to (4,6).

There are five paths from the bottom left corner to the point (1,4) that do not go through the forbidden point.

Once Marvin reaches the point (1,4), he can only go up or to the right to reach his destination. So, we need to count the number of ways to get from (1,4) to (4,6)

We can visualize this by drawing another grid and counting the paths:

In total, there are

=> 5 x 10 = 50

To know more about unitary method here.

https://brainly.com/question/28276953

#SPJ4



Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X.


X 0 1 2 3 4 or more

probability 0. 58 0. 23 0. 11 0. 05 0. 03

If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F.


(a) Construct the probability distribution of the random variable Y.


(b) Determine the mean and standard deviation of Y. Show your work.


Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0. 40 and 0. 66, respectively. The fat quarters sell for $5. 00 each but are discounted by $1. 50 for each defect found.


(c) What are the mean and standard deviation of the selling price for the fat quarters sold by Company G?

Answers

The probability distribution of the random variable Y is 0.63, 0.25, 0.12. The mean of y is 0.4899 and the std deviation of y is 0.6999 and the mean of the selling price for the fat quarters sold by Company G is $4.4 and the std deviation for the same is $0.99

a) x = number of defects on a fat quarter

to be sold, X must be, X ≤ 2

y = number of defects on the sellable fat quarter,

now from the table, P [fat quarter being sellable]

=P [X ≤ 2]

=0.58 + 0.23 + 0.11

= 0.92

Therefore, P[y-0] = P[x=0Ix≤2]

=[tex]\frac{P[x=0][x < 2]}{P[x < 2]}[/tex]

=P[y=0] = 0.63

P[y=1] = P[x=1Ix≤2]

P[y=1] = [tex]\frac{0.23}{0.92}[/tex]

=0.25

P[y=2] = P[x=2Ix≤2]

P[y=2] = [tex]\frac{0.11}{0.92}[/tex]

= 0.12

y------------------0--------1---------2

probability---0.63----0.25----0.12

b)mean of y = E(y)

=0²×0.063+1×0.25+2×0.12

=0.25+0.24

=0.49

now we know that E(y²) = 0²×0.63+1²×0.25+2²×0.12

=0.25+0.48

=0.73

E(y²) - [E(y)]²

=0.73-0.49²

=0.4899

std deviation of y = 0.6999

c) now that we have E(G) = 0.40, √v(G) = 0.66

let s be selling price of fat quarters, then s = 5.00 - 1.50 × (G)

therefore = 5-1.5×0.4

=5-0.6

=$4.4 is the mean selling price.

now for the standard deviation price = v[5-1.5G]

=v(5)+1.5² v(G)

=0+2.25×0.66²

=v(s)= 0.9801

standard deviation of sp =√v(s)

=$0.99

To learn more about probability, click here:

brainly.com/question/11234923

#SPJ4

Your school is going to start offering afterschool clubs they will be nine clubs to choose from to have clubs at least 23 students we will need to sign up for each one what is the least number of students that must sign up to have all nine clubs

Answers

At least number of students who must have signed up to have all nine clubs is equal to 207.

Number of clubs school going to start after school = 9 clubs

At least number of students need to sign up in each one of the club is equal to 23 students.

At least number of students need to sign up to have all in nine clubs is equal to :

At least number of student in 1 club  > 23

⇒ At least number of student in 9 club  > 23 × 9

At least number of student in 9 club  > 207

Therefore, at least number of students need to signed up to have in all nine given clubs are 207 students.

learn more about at least here

brainly.com/question/30060162

#SPJ4

i need the answers to the marked answers! please help me!! :)

Answers

The results are given below.

What is congruency of triangles?

Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'

Consider the first triangles,

Given, L is the midpoint of KN and MP.

To find ΔMKL ≅ΔPNL

Using side-angle-side congruency ,

Here, the corresponding sides , KM and MP, KL and LP are equivalent.

But the angle ∠L is not an included angle.

So this triangles are non congruent.

Consider the next triangles.

BD bisects ∠ABC ∠BAD≅∠BCD

To find ΔABC≅BCD

By side- side-side congruency,

The corresponding sides AB and BD, AD and DC, BD are equivalent.

Therefore this ΔABC≅BCD  proved.

Hence the proof.

Learn more about congruency of triangles here:

https://brainly.com/question/30094434

#SPJ1

A rectangle has a length of ( + ) and a width of ( − ). Determine the expression that represents the area of this rectangle.

Answers

Answer:

Step-by-step explanation:

The expression that represents the area of a rectangle with length (l) and width (w) is given by:

A = l * w

Therefore, the expression that represents the area of a rectangle with a length of ( + ) and a width of ( − ) can be represented as:

A = ( + ) * ( − ) = + × − = + (−) = −.

which expression is equivalent to 5^6
a.125 x 125 b. 6 x 5 c. 35 x 6 x 6 x 6 d. 25 x 5 x 5 x 5

Answers

The expression that is equivalent to 5^6 is A.125 x 125

What are index forms?

Index forms are defined as mathematical forms of writing numbers that are too large or small in more convenient forms.

Other terms for index forms are called standard forms or scientific notations.

They are also described as numbers or variables that are raised to an exponent.

From the information given, we have that;

5⁶

This is replicating 5 in 6 places, we have the representation as;

5 × 5 × 5 × 5 × 5 × 5

Hence, the expression is 125 x 125

Learn about index forms at: https://brainly.com/question/15361818

#SPJ1

help with question 17

Answers

Answer:

hundredths

Step-by-step explanation:

The hundredths place.

An angle is measures 139.6 less than the measure of its supplementary what is the measure of each angle

Answers

Answer:

788883332220+2648340

Step-by-step explanation:

what is energy transferred

Write a piece wise function for each function graphed below.

Answers

The piecewise function for the graph is given as follows:

y = -2, x < -4.y = 0.5x + 4, -4 < x ≤ 2y = -1.5x + 1, x > 1.

How to define the piecewise function?

A piecewise function is a function that has different definitions, depending on the input x of the function.

The three different definitions for the function in this problem are given as follows:

x < -4.-4 < x ≤ 2.x > 2.

For x < -4, the function is constant at y = -2, hence:

y = -2, x < -4.

For -4 < x ≤ 2, the function is linear, with an slope of 0.5 and intercept of 4, hence:

y = 0.5x + 4, -4 < x ≤ 2

For x > 2, the function is also linear, with slope of -1.5, hence at x = 0 it would assume a value of 1, thus:

y = -1.5x + 1, x > 1.

More can be learned about piecewise functions at https://brainly.com/question/30348444

#SPJ1

Question 7 (Mandatory) (1 point)
Which point is on the graph of y = -2x + 1?

Answers

Answer:

y-intercept: (0,-1)

Step-by-step explanation:

please verify

AB and BC form a right angle at point B. If A= (-3,-1) and B=(4,4), what is the equation of BC

Answers

Answer: AB and BC form a right angle at point B, so BC is perpendicular to AB. To find the equation of BC, we can use the slope-point formula, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

The slope of a line perpendicular to AB can be found by finding the negative reciprocal of the slope of AB. To find the slope of AB, we need to find the difference in the y-coordinates and divide it by the difference in the x-coordinates:

m_AB = (y2 - y1) / (x2 - x1)

= (4 - (-1)) / (4 - (-3))

= 5 / 7

The slope of a line perpendicular to AB is the negative reciprocal of m_AB:

m_BC = -1 / m_AB = -1 / (5/7) = -7/5

Now that we have the slope of BC, we can use the slope-point formula to find the equation of BC. We'll use the point B = (4, 4) as (x1, y1):

y - 4 = -7/5 (x - 4)

y = -7/5 x + 4(7/5) + 4

y = -7/5 x + 36/5

So the equation of BC is y = -7/5 x + 36/5.

Step-by-step explanation:

A parabola can be drawn given a focus of (0, 4) and a directrix of y =
be said about the parabola?

Answers

Answer: A parabola can be defined as the set of all points that are equidistant from a focus and a directrix. Based on the information provided, the focus of the parabola is (0, 4) and the directrix is y =.

The parabola will open upwards or downwards depending on the location of the focus and the directrix. Since the focus is at (0, 4), and the directrix is at y =, the parabola must open upwards. The axis of symmetry of the parabola will pass through the focus and will be perpendicular to the directrix.

Without more information, it is not possible to fully determine the shape and equation of the parabola. The shape of the parabola and its equation can be found by using the focus and directrix and other information, such as the vertex or a point on the parabola.

Step-by-step explanation:

Emma is starting a cupcake business and borrows money from Dixons dynamite deals (DDD) .she agrees to pay back the loan after 10 years by making one payment of 80,000 , interest is compounded and fixed at 14,6% per annum.hpw much did emma borrow from (DDD) ?​

Answers

The amount (present value) that Emma borrowed from Dixons Dynamite Deals (DDD) to repay after 10 years with a one-time payment of $80,000 at 14/6% compounded interest per annum is not more than $20,475.94.

Step-by-step explanation:

To find out how much Emma borrowed from Dixons Dynamite Deals (DDD), we can use the formula for the future value of a loan with compound interest:

Future Value (FV) = Principal Amount (P) * (1 + r)^n

Where:

P = Principal amount (the amount borrowed)

r = Interest rate per period (in decimal form)

n = Number of periods

In this case:

Future Value (FV) = $80,000 (the payment Emma will make after 10 years)

Interest rate (r) = 14.6% per annum = 0.146 (in decimal form)

Number of periods (n) = 10 years

Now, let's calculate the principal amount (P):

$80,000 = P * (1 + 0.146)^10

Now, let's solve for P:

P = $80,000 / (1.146)^10

P ≈ $80,000 / 2.97804

P ≈ $26,874.94

So, Emma borrowed approximately $26,874.94 from Dixons Dynamite Deals (DDD) to start her cupcake business.

Please mark as Brainliest

emmas suitcase was extremely heavy so she decided to take some things out and weigh them. she started with a gift that weighed 30 pounds. Then, she took out all of her shower essentials and personal items that weighed 7 1/4 pounds. If her suitcase now weighs 21 2/3 pounds, how much did it weigh when she started?

Answers

Answer:

58 11/12

Step-by-step explanation:

Add up each item within the suitcase + the suitcase after taking out the items to find the weight of the suitcase at the beginning.

30 + 7 1/4 + 21 2/3

Convert the fractions to have a common denominator

30 + 7 3/12 + 21 8/12

Add these up to get 58 11/12.

what happens to the equation of f(x) = 1/x, if it's translated 4 units up and to the right 3 units

Answers

It just moves. No shape changes here just going on vacation for a bit.

Source:trust me bro

A newspaper randomly chooses 100 names from it's subscriber database and then survey's those subscribers to find if they read the restaurant review is this biased or non biased

Answers

Answer:

Non biased (kind of)

Step-by-step explanation:

It depends on how they randomly chose but if it was truly random it would be non biased as many people will read newspapers for things such as sports or catalogs

A Smoothie is mixed with strawberries and bananas in the ratio 7:3. Gill
makes a smoothie using 144g of bananas. How many grams of
Strawberry does she use?

Answers

Answer: et's call the amount of strawberries Gill uses "x" grams. We know that the ratio of strawberries to bananas is 7:3, so we can set up an equation:

x/144 = 7/3

To solve for x, we'll multiply both sides of the equation by 144:

x = 7/3 * 144

x = 7 * 48

x = 336

So Gill uses 336 grams of strawberries in the smoothie.

Step-by-step explanation:

Subtract and simplify. (9^2 − 4 − 4) − (−2^3 − + 12)

Answers

Answer:

93

Step-by-step explanation:

Answer:

27

28

Step-by-step explanation:

How would you translate a real world verbal expression into an algebraic expression?

Answers

The Translation to  algebraic expression is shown below.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

To create a variable expression for a circumstance in the actual world:

Determine which quantity is unknown in the circumstance, then define a variable to represent it.To reflect the circumstance, create an expression utilising the variable. To determine what mathematical procedures to apply, look for essential words.

For example, the sum of a and b can be written as

= a+ b

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

What number is 30% less than 40?

Answers

Answer:  30% less than 40 is 28

Step-by-step explanation:

Answer:

The answer is 28.

Step-by-step explanation:

I'm bad at proving stuff but that's the answer I promise. (quick tip, you are more likely to get answers if you give more points. :D)

uppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws. a. what is the probability that he will make both free throws? (to 4 decimals) b. what is the probability that he will make at least one free throw? (to 4 decimals)

Answers

Answer:

a. 0.81

b. 0.81

Step-by-step explanation:

Let's assume that the player makes x% of his free throws. Then, the probability that he will make both free throws is (x/100)^2, and he will make at least one free throw is 1 - (1 - x/100)^2.

So if he makes 90% of his free throws, then:

a. The probability that he will make both free throws is (90/100)^2 = 0.81.

b. The probability that he will make at least one free throw is 1 - (1 - 90/100)^2 = 1 - (1 - 0.9)^2 = 1 - 0.19 = 0.81.

The answers to the questions rounded to 4 decimal places are:

a. 0.81

b. 0.81

Write as an algebraic expression: five times the difference between six less than a number

Answers

The algebraic expression is,

⇒ 5 (6 - n)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ five times the difference between six less than a number.

Now, Let a number = n

Hence, We can formulate;

⇒ 5 (6 - n)

Thus, The value of expression is,

⇒ 5 (6 - n)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Can some one help sovle this?
-

Answers

By using the graph of the piecewise function we can see that:

f(0) = 0.

How to find the value of f(0)?

Here we have the graph of a piecewise function, and we want to find the function when x = 0.

Remember that on a graph, an open circle means that the value does not belong to the graph, while a closed circle means taht the value belongs to the graph.

Here we can see that the closed circle at x = 0 is on the line at the middle, then we can conclude that f(0) = 0.

Learn more about piecewise functions at:

https://brainly.com/question/3628123

#SPJ1

among the cast aluminum parts manufactured on a certain day, 80% were awless, 15% had only minor aws, and 5% had ma jor aws. find the probability that a randomly chosen part (a) has a aw and (b) has no ma jor aw.

Answers

Probability that a randomly chosen part (a) has a P(flaw) = 0.2 and

has no major flaws b) P(No major flaws) = 0.95

The probability that an event will occur is determined by probability: P(A) = f / N. Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood that an event will occur.

To find the probability of flaws, we can find the probability of no flaws first by dividing by 100:

P(no flaw) = 80/100 = 0.8

So then:

P(flaw) = 1 - P(no flaw) = 1 - 0.8 = 0.2

P(flaw) = 0.2

B) First, we need to find the probability of major flaws:

P(major flaws) =

P(Major flaws) = 0.05

So to find the probability of no major flaws:

P(No major flaws) = 1 - P(major flaws) = 1 - 0.05 = 0.95

P(No major flaws) = 0.95

know more about probability click here;

https://brainly.com/question/11847109

#SPJ4

13 4 73 efine a variable for the quantity that changes. Then, write an algebraic expression for the amount of etergent remaining in the container. ▸Math symbols Relations ▸ Geometry Groups ▸Trigonometry Statistics​

Answers

The algebraic expression for the amount of etergent remaining in the container isy = x - 13 - 4 - 73

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

13 4 73

Let's define the variable 'x' to represent the amount of detergent initially present in the container.

Then, if 'y' represents the amount of detergent remaining in the container, we can write an algebraic expression for it as:

y = x - 13 - 4 - 73

where:

13 represents the amount of detergent used on the first day

4 represents the amount of detergent used on the second day

73 represents the amount of detergent used on the third day

By subtracting the total amount of detergent used from the initial amount 'x', we get the remaining amount 'y'.

Therefore, the expression will be y = x - 13 - 4 - 73.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

73.
ILLUSTRATION 7
Find a. the length and b. the diameter of the shaft in

Answers

In the illustration given above, the length and the diameter of the shaft would be = 21.8 in and 7/8 in respectively.

How to calculate the total length of the shaft?

The total length of the shaft can be calculated through the addition of the various given lengths along the shaft such as follows:

= 5⅛ + 5 + 7⅝ + 4 1/16

First convert all the mixed fraction into single fraction;

= 41/8 + 5/1 + 61/8 + 65/16

= 82+80+122+65/16

= 349/16

= 21.8 in.

The diameter of the shaft can be calculated as follows;

= 7¼ - (3 3/16 + 3 3/16 )

First convert all the mixed fraction into single fraction;

= 29/4 - (51/16 + 51/16)

= 29/4 - 102/16

= 116-102/16

= 14/16

= 7/8 in.

Learn more about diameter here:

https://brainly.com/question/28162977

#SPJ1

5x5+67-85=
PLS HURRY

Answers

Answer:

7

Step-by-step explanation:

We start doing the multiplication, and [tex]5 \cdot 5 = 25[/tex]. So we can rewrite it as [tex]25 + 67 - 85.[/tex] Now we work from left to right, where we calculate [tex]25 + 67 = 92[/tex]. Now the final step, [tex]92 - 85 = 7.[/tex] Therefore, the answer is [tex]\boxed{7.}[/tex]

Answer:

sry for being late the answer is 7……I did it in my head and double checked with a calculator. Go ahead and give the other person brainliest they did it first! Hope I helped to!!

Step-by-step explanation:

Lisa's average score on 4 tests is 82. What does she need to score on her fifth test to have an average final score of 85?

Answers

Answer:

Lisa would need to score 97 on her 5th test.

Step-by-step explanation:

If Lisa has an average score of 82 on 4 tests, then the total sum of her scores would be 82 multiplied by 4, which is equal to 328.

If she wants an average final score of 85 over 5 tests, then the total sum of her scores needs to be 425 (i.e. 85 multiplied by 5).

To determine what she needs to get on her 5th test we need to subtract 328 from 425.

425 - 328 = 97

Other Questions
mark just joined a new gym and signed up for a one-year membership. membership fees can be paid in 12 monthly payments of $60, due at the beginning of each month or in one payment today. if the appropriate interest rate is 10%, how much should he pay today for the annual membership? The screenwriter for an upcoming action film has chosen to cut away from the main characters just as they are choosing which wires to cut on the bomb. How has he manipulated point of view to increase suspense most strongly?A. He uses third person omniscient to keep the viewer engaged in all characters' stories.B. He uses third person limited to narrow what the viewer has access to, leaving them wondering what will happen next. C. He changes perspective throughout the story to keep the viewer engaged and guessing.D. He maintains a constant perspective to keep the viewer from becoming confused in the plot. Helpppppppp meeeeeeeeeeeeeeeeeeee What does this symbol represent in terms of life cycles, and why is it drawn this way? O Sporophyte: It is a simple way of drawing the many spores within the sporophyte. O Multicellular organism: It is a simple way of drawing many cells to represent a multicellular life stage. O Spore: It is drawn this way to distinguish it from gametes, which are also single-celled. O Cell with cytoskeleton: It is drawn to show microtubules. O Nucleus with chromosomes: It is drawn to show two sets of chromosomes, making it diploid. given employee table has 15 attributes 200 tuples and dependent table has 10 attributes and 180 tuples with referential integrities unchanged. how many attributes and how many tuples will be in the resulting relation after a natural join operation answering this question is performed? If I wanted to get information from college biology majors, which of the following is likely to be the most efficient probability sampling technique? suppose that your boss must choose five employees in your office to attend a conference in jamaica. because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. what is the probability that you, diana, kyle, nancy, and arthur are chosen? enter a fraction or round your answer to 4 decimal places, if necessary. the (nonconservative) force propelling a 1.50 103-kg car up a mountain road does 4.30 106 j of work on the car. the car starts from rest at sea level and has a speed of 24.0 m/s at an altitude of 2.10 102 m above sea level. obtain the work done on the car by the combined forces of friction and air resistance, both of which are nonconservative forces. the proper way to unplug a cord is to pull on the plug and not the cord. true/false who is your hero and who is this person and why do you believe he or she is a hero at maximum performance, a particular engine performs 19800 j of work in 95 minutes. what is its power rating? Which one of the following best defines the notion of the significance level of a hypothesis test? in 2012, the national average for students graduating within six years from a private, nonprofit institution was around 66%. write this percent as a fraction and do not simplify. 7. Explain why different routes affect the dose of medication given._ What is the solution to the equation?2(x + 7) 2/3 = 8 one revolution per hour is how many rad/s? if the object in question has a radius of 4m, what is the linear velocity at a point on the edge? explain and importanthighlight the issue of interest to your job, industry, and venue? Find the value of b if the graph of y=0.3+b goes through the point. N(5, d) which two of the following are essential characteristics of a global organization?multiple select question.import from more than one countryhave high levels of ethnic diversity among employees in domestic operationsoperate in more than one countrycompete in more than one country Please hurry! Peat is a spongy material formed by dead and dying vegetation that sank to the bottom of swamps and oceans. True or False