PLS HELP GEOMETRY WILL GIVE BRAINLIEST
Given: line c is parallel to line d, and angle 1 is congruent to angle 7,

Prove: line a is parallel to line b

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula,

y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula t.

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.

The slope-intercept form is provided as y = mx + b, where m is the line's slope and b is the y-intercept. Using this form, we may determine the slope of a line. Here's an illustration. The slope of the line 6x - 3y = 5 should be determined. To convert this into the slope-intercept form, let's solve this for 'y'. The result is y = 2x – (5/3). We calculate the slope to be m = 2 by comparing this to the slope-intercept formula, y = mx + b.

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Julie received an amount of $134.4 when she cashed her paycheck.

Let x be the amount of the paycheck.

She gave her brother ten dollars.

She then paid $30 for the car's petrol.

So she departed with an amount equal to x-40.

She now spent half of the remaining accounts on a new camping tent.

Spent camping = (x - 40)/2

Remaining = x - 40 - (x - 40)/2

She paid $29.45 for a pair of running shoes.

Therefore, remaining =  x - 40 - (x - 40)/2 - 29.45

As per the question, she had $17.75 remaining.

So x - 40 - (x - 40)/2 - 29.45 = 17.75

Rearrange the terms and solve for x,

(x - 40)/2 = 47.2

x - 40 = 94.4

x = 134.4

Therefore, she received an amount of $134.4 when she cashed her paycheck.

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The equation using slope - intercept from the given point.

(a) y=8x-46

(b) 8x-y=46

what is slope ?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

Step-by-step explanation:

-y=-8x+4

y=8x+4

We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.

Substitute (6,2)

2=8(6)+b

2=48+b

b=-46

The final answer is y=8x-46

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Based on the rate of change and the points, the equation of the line in Point-Slope form was y = 2/3x - 4.17

The equation of the line in point-slope form was y = -1/5x - 2.8

The equation of a line takes the form:

y = mx + b

m is the rate of change

b is the y-intercept

We need to find the y-intercept because we have the rate of change and y and x values:

-6.5 = 2/3(-3.5) + b

-6.5 = -2.33 + b

b = -6.5 + 2.33

b = -4.17

The equation is:

y = 2/3x - 4.17

The equation for the second line takes the same form. So the y-intercept should be found first:

- 3 = - 1/5(1) + b

b = -3 + 1/5

b = -2.8

The equation of the line is:

y = -1/5x - 2.8

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Answer:

6.6666 or 7

Step-by-step explanation:

B)150 km

Step-by-step explanation:

The total distance is 400km

and jim drove 1/4 of this distance so

400 x 1/4 = 100km

then subtract this from the total distance 400 - 100 = 300km

Elaine drove 1/2 of this remaining distance

300 x 1/2 = 150 km

Add this with the first result

100 + 150 = 250 km

this is the total disrance that they have treveled

how much do they have to go

400 - 250 = 150km meaning the answer is b

Answer:

6√2, or about 8.5 meters

The exponent's expression is 5².

Exponent expression:

An exponent refers to the number of times a number is multiplied by itself.

The property of exponents:

[tex]a^{m} / a^{n}[/tex] = [tex]a^{m-n}[/tex]

The expression is:

[tex]5^{8} / 5^{6}[/tex]

Using the property of exponents we have,

[tex]5^{8-6}[/tex]

= 5²

Therefore the exponent expression is 5².

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Answer:

Step-by-step explanation:

24 : 2 = 12 ft

π12² =

3.14 * 12² =

3.14 * 144 =

452.16 ft²

Answer: 452.16 ft

The formula given is  πr², where π is 3.14, and r is radius.

radius is half the diameter, so first step is 24/2, which is 12. r = 12.

Then we apply it to the formula.

πr² = 3.14 x 12²

3.14 x 144

area = 452.16 ft

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The probability that the next person will purchase

more than one costume is 0.05

In the question, we have been given that in a popular online role-playing game, players can create detailed designs for their character's "costumes," or appearance.

Malik sets up a website where players can buy and sell these costumes online.

The information about the number of people who visited the website and the number of costumes purchased in a single day is:

40 visitors purchased no costume.

82 visitors purchased exactly one costume.

6 visitors purchased more than one costume.

We need to find the probability that the next person will purchase

more than one costume.

The total number of visitors the site :

40 + 82 + 6 = 128

The number of visitors purchased more than one costume = 6

Thus, the probability that the next person will purchase no costume would be,

P = 6/128

P = 0.046

P = 0.05

Therefore, the probability that the next person will purchase

more than one costume is 0.05

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Answer:

0.03

Step-by-step explanation:

The equations have no solution. Therefore, the two numbers does not exist.

There are two numbers. One number is twice the other number.

The difference of the smaller number and half the larger number is 20.

The equation that can be use to represent the situation can be represented as follows;

Hence,

let the two numbers be x and y.

2x = y

x - 1 / 2 y = 20

Note the smaller number is x

Therefore, using substitution,

x - 1 / 2 (2x) = 20

x - x  = 20

0 = 20

The value of x and y can't be solved from the equation formed.

Therefore, it has no solution.

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Answer: 48.1

Step-by-step explanation:

The mean number of individuals per sample who do not exercise regularly = 7

According to the survey 58% of the Americans does not exercise.

Hence probability of not exercising, p = 58/100 = 0.58

Define a random variable X denoting the number of people who does not exercise.

Then X follows the binomial distribution.

If p denotes the probability of success and if n is the sample size or number of trials, then

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ gives the probability of the random variable X.

Here, the sample size, n = 12

For a binomial distribution, mean, μ = np

Therefore,  mean number of individuals per sample who do not exercise regularly = np

               = 12 x 0.58

               = 6.96

               ≈ 7

The question is not complete. Find the complete question below:

According to the Behavioral Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary means does not exercise).

a. If you selected repeated samples of 12 from the U.S. population, what would be the mean number of individuals per sample who do not exercise regularly?

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Answer:

about 24.38 feet

Step-by-step explanation:

Graphing window: [0, 30] by [-20, 160]

y1 = 20 + 2x + √(400 + 4x^2)

y2 = 1.6(20 + x + √(400 + x^2))

y1 = y2 when x = 24.3798.

So the length of the smaller garden's longer leg is about 24.38 feet.

The x values of the polynomial expression given as x^2 - 324 = 0 are x = 18 and x = -18

The polynomial expression is given as:

x^2 - 324 = 0

Rewrite as

x^2 + 0 - 324 = 0

Express 0 as 18x - 18x

So, we have:

x^2 + 18x - 18x - 324 = 0

Factorize the polynomial expression

x(x + 18) - 18(x + 18) = 0

Factor out x + 18

(x - 18)(x + 18) = 0

Split the factors

x - 18 = 0 and x + 18 = 0

Solve for x

x = 18 and x = -18

To use a table, we have

x^2 - 324 = 0

Set x = some values and calculate the expression

x      x^2 - 324

3     -315

6      -288

9       -243

18       0

Hence, the values of x are x = 18 and x = -18

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The ounces of soda consumed by an adult next month are examples of a discrete random variable,  False

A discrete random variable are known as counts. This is because it takes on only a countable number of distinct values. This means a random variable can only be considered to be discrete if it can take on values that are countable in an interval, otherwise it can be continuous.

Now on the question of ounces of soda consumed by an adult next month is considered not to be discrete random variable. This is because ounces of soda or volume of soda consumed are countless and infinite in number.  

Hence, the statement that says ounces of soda consumed by an adult next month are an example of a discrete random variable is False.

Choice b(False) is correct.  

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Answer:

Answer is y + 5 = -1(x-7)

Step-by-step explanation:

First find the slope, m = y2 - y1 / x2 - x1

so -5 -6 = -11, 7- (-4) = 11

m = -11/11 = -1

then plug into equation y-y1 = m(x-x1) so

Answer: The correct answer is the second one.

Step-by-step explanation:

That is the answer

Answer:

[tex]x=5, y=-2[/tex]

Step-by-step explanation:

[tex]-5y+6x=40 \implies -15y+18x=120 \\ \\ 3y-8x=-46 \implies 15y-40x=-230 \\ \\ \therefore -22x=-110 \implies x=5 \\ \\ \therefore -5y+6(5)=40 \implies y=-2[/tex]

The slope is 1.

Explanation:

The equation of a line is written in "slope-intercept form as

The new grade of the student will be 70% and the grade reduced by 10 percent.

This is a rate, number, or amount in each hundred. Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

In the given question, we simply need to add the two percentage together and find the average of the value.

This can be done mathematically as

[tex]\frac{60+80}{2} = 70[/tex]

The average grade will be 70% and this shows that the grade dropped by

[tex]80\% - 70\% = 10\%[/tex]

The grade will go down by 10%.

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Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Assuming the loan exists compounded monthly, the total monthly payment exists estimated from the amortization formula as peruses:

[tex]$A=P(i(1+i)^n)/((1+i)^n-1)[/tex]

Where, A be the monthly payment

P be the amount borrowed = $ 6000

i be the monthly interest = 0.0311/12

n be the number of months = 4 × 12 = 48 months

Calculating the monthly payment:

substitute the values in the above equation, we get

[tex]$\frac{6000\left(\frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}\right)}{(1+0.03)^{48-1}}[/tex]

simplifying the above equation, we get

[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}}{(1+0.03)^{48-1}}$$[/tex]

[tex]$(1+0.03)^{48-1}=1.03^{47}$[/tex]

[tex]$=\frac{6000 \cdot \frac{0.03}{12}\left(\frac{0.03}{12}+1\right)^{48}}{1.03^{47}}$[/tex]

Multiplying the above equation,  

[tex]$6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}= 16.90992 \ldots \\[/tex]

[tex]$=& \frac{16.90992 \ldots}{1.03^{47}} \\[/tex]

[tex]$1.03^{47}=4.01189 \ldots \\[/tex]

[tex]$=& \frac{16.90992 \ldots}{4.01189 \ldots}[/tex]

= 4.21494

Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.

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A)  The probability that at least one of the two students will be in class on a given day is; 0.92

B)  If at least one of the two students is in class on a given day, the probability that a is in class that day is; 0.8696

In probability theory, the occurrence of the events may depend on its relative events which are called dependent events while the events not dependent on their relative events are referred to as independent events. For dependent events, if conditional probabilities are required , we will make use of the Baye's Theorem and the total probability theorem sometimes.

We are given;

Probability that student A attends class = 80% = 0.8

Probability that student B attends class = 60% = 0.6

A) The probability that at least one of the two students will be in class on a given day is;

P = 1 - Probability that that neither show up to class on any given day.

P(A ∪ B) = 1 - P(A∼ ∩ B∼)

Where  P(A∼ ∩ B∼) = (1 - 0.8) × (1 - 0.6)

P(A∼ ∩ B∼) = 0.08

Thus;

P(A ∪ B) = 1 - 0.08

P(A ∪ B) = 0.92

B) We want to find the probability that student A was in the class given that at least one of them was in the class.

This is obviously a case of conditional probability which will give us the formula;

P(A|A ∪ B) = P(A ∩ (A ∪ B))/P(A ∪ B)

= P(A)/P(A ∪ B)

= 0.8/0.92

= 0.8696

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The information that June says that there should be a decimal point in the quotient below after the 4 is incorrect.

From the information given, it should be noted that it's important to find the division. This will be:

= 43.94 / 5.2

= 8.4.5

Based on the information, June says that there should be a decimal point. It should be noted that from the question, the decimal wasn't illustrated.

Therefore, June is incorrect. This is because the decimal is before 4.

The complete question is written below.

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Given that June says that there should be a decimal point in the quotient below after the 4. The number given is 43.94/5.2 = 845 is she correct?

The ratios in their reduced fraction are 4:5  and 9:8 as they are in their simplest form.

a fraction whose lowest terms are obtained by multiplying the numerator by the highest common factor among its denominator and numerator. The reduced fraction of 8/12, for instance, is 2/3.

Divide the numerator and denominator of a fraction by the GCF to reduce it. (Writing a fraction in lowest terms is another name for this.) Sometimes, this is depicted as "cancelling" the common components.

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The solutions to all the parts of the question are discussed below.

Inequality in mathematics is a relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given is a rental car company charges a $22 fee to rent a car plus $0.32 per mile.

Assume that [m] represent the number of miles the car is driven by Matt.

Part [A]

We can write the inequality as follows -

22 + 0.32m ≤ 100

Part [B]

The inequality is -

22 + 0.32m ≤ 100

0.32m ≤ 78

m ≤ 78/0.32

m ≤ 243.75

Part [C]

The graph is attached at the end.

Part [D]

22 + 0.32m ≤ 100

22 + 0.32 x 243.75 ≤ 100

22 + 78 ≤ 100

100 ≤ 100             [verified]

Part [E]

The number of miles that can be driven by Matt after renting the car will be 243.5 miles.

Therefore, the solutions to all the parts of the question are discussed above.

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Part a: Range = 4550

Part b: Variance  = 287,034

Part c: Standard deviation =  (287,034)².

For the given question;

The highest net worths (in millions of dollars) for 6 celebrities is shown.

Part a: calculate the range;

Range = highest value - lowest value

Range = George Lucas (5500) - Jerry Seinfeld (950)

Range = 4550

Part b: Calculated the variance;

σ = ∑X²/n - μ² =  ∑(X²- μ²)/n

First find the mean;

μ =  ∑X/n

μ = (5500 + 3700 + 3200 + 1200 + 1000  950)/6

μ = 7775/3

σ =  (5500² + 3700² + 3200² + 1200² + 1000²  950²)/6 - (97775/3)²

σ = 287034

Variance = 287,034

Part c:  Calculated the standard deviation;

standard deviation = σ²

σ² = (287,034)²

Thus, the standard deviation is found as (287,034)².

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