This question has two parts. First, answer Part A. Then, answer Part B. Part A Conjecture: A quadrilateral with one pair of sides both congruent and parallel is a parallelogram. Which of the following shows the marked diagram of the situation?restate the conjecture as a specific statement using the diagram you chose from part AIn quadrilateral ABCD, AB is congruent to___ and ____ is parallel to CD. show that ABCD is a ____

We have that the floor's dimensions are 15ft x 20ft and the height of the room is 10ft tall. This is

if we extended it we would have:

We want to find how many square foot Brett needs to cover. We just find the area of each side of the studio.

We find it just by multiplying both of its sides (they all are rectangles):

Wall 1

area = 10ft x 15 ft

area = 150 ft²

Wall 2

area = 10ft x 20 ft

area = 200 ft²

Wall 3

area = 10ft x 15 ft

area = 150 ft²

Wall 4

area = 10ft x 20 ft

area = 200 ft²

Floor

area = 15ft x 20 ft

area = 300 ft²

Ceiling

area = 15ft x 20 ft

area = 300 ft²

A condensed way....

TOTAL AREA

Now, we add all the areas found, this will be the total area Brett must cover:

Wall 1 + wall 2 + Wall 3 + Wall 4 + ceiling + floor = total area

150 ft² + 200 ft² + 150 ft² + 200 ft² + 300 ft² + 300 ft² = 1300 ft²

COST

Since the padding costs $2.50 per square foot, and there are 1300 square foot to cover. Brett will spend

$2.50 x 1300 = $3250

Answer: Brett spend on padding $3250

EXPLANATION:

The first thing to do in the equation is to interchange the variables in order to do the inverse function and thus solve the equation correctly.

So the equation is as follows:

Answer

Option B is correct.

Angle ABC > Angle DBC

Explanation

Since it's been proven that

Angle ABC = Angle ABD + Angle DBC

Since Angle ABD > 0,

Angle ABC > Angle DBC is the part that completes the proof that

Angle ABC > Angle RST

Hope this Helps!!!

The perimeter and the area of a rectangle of dimensions 15 cm and 8 cm is given as follows:

Considering a rectangle of length l and width w, we have that the area and the perimeter are given, respectively, by these following equations:

In the context of this problem, the dimensions are given/supposed as follows:

l = 15 cm, w = 8 cm.

Applying the rule, the area, in cm², as the variables are multiplied, is given as follows:

A = 15 x 8 = 120 cm².

The perimeter, in cm, as the measures are added, is given as follows:

P = 2 x (15 + 8) = 2 x 23 = 46 cm.

This problem is incomplete and could not be found on any search engine, hence we suppose that it is a rectangle of dimensions 15 cm and 8 cm.

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The x and y intercepts of the line is found as (12/5, 0) and (0, -4/3) respectively.

For the given question,

The equation of the line is 5x-9y=-12.

For the x intercept, Put y = 0.

5x-9×0=-12.

x = 12/5

x intercept = (12/5, 0)

For y intercept, put x = 0.

5×0-9y=-12

y = -12/9

y = -4/3

y intercept = (0, -4/3)

Thus, the x and y intercepts of the line is found as (12/5, 0) and (0, -4/3) respectively.

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Answer:

-4 feet (4 feet below sea level)

Salton City's potential elevation is determined to be 3 feet below sea level by using a number line and the elevation of New Orleans, which is 2 feet below sea level.

Therefore,

Salton City should be located to the left of -2, which is a point, at a distance of x -2 feet.

Salton City's elevation, which is determined by the set x -2 feet, is less than 2 feet above sea level.

Since -3 feet is less than -2 feet, Salton City's elevation might be as low as x = 3 feet below sea level, which is less than () 2 feet below sea level.

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Given:

Given the equation

Required: Solve for y.

Explanation:

Subtract 2x on both sides.

Multiply both sides by -4.

Final Answer: y = 4(2x - 1)

The problem is asking as to perform an addition of signed numbers.

The firs one to add is 3 and the other one is -7.

We can understand the meaning of this type of addition by using the number line forst, and then have a very simple "short cut" every time we fce problems like this.

The number line approach:

locate yourself at the mark "3" on the number line, and then add the number "-7" whichmeans go to the left (as the negative indicates) 7 units. You will see that you move through zero, and then land on the number "-4".

Assum,e that she put x in the account of 3%

So in wizard bonds, she put twice so it is 2x

The rest in the account of 4%

The rest is 100,000 - x - 2x = 100,000 - 3x

The rule of the investment is :

I is the interest, P is the money she invested, r is the rate and t is the time

We will make equation for each account

The sum of the interest is 4,480, so add them and equate the sum by 4,480 to find the value of x

0.03x + 0.11x + 4000 - 0.12x = 4,480

Add like terms in the left side

0.02x + 4000 = 4,480

Subtract 4000 from both sides

0.02x + 4000 - 4000 = 4,480 - 4000

0.02x = 480

Divide both sides by 0.02

x = 24,000

The value in the mutual fund is 100,000 - 3x, so substitute s by 24,000

The mutual fund = 100,000 - 3(24,000) = 100,000 - 72,000 = 28,000

The mutual fund = $28,000

b) Looking at the graph, the scores of quiz 2 are on the y axis while the scores of quiz 1 are on the y axis. Each samll box on both axes is 2 units. This means that half of a samll box is 1 unit. We can locate a score of 15 in quiz 2(halfway between 14 and 16). It also corresponds to a score of 15 in quiz 1. Thus, 1 student earned 15 marks in quiz 1 and 2

c) The equation of the line of best fit is written in the slope intercept form which is expressed as

y = mx + b

where

m = slope

b = y intercept

We would calculate the slope by applying the formula,

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

where

y1 and y2 are y coordinates of initial and final points on the line.

x1 and x2 are x coordinates of initial and final points on the line.

Picking points on the graph, we have

when x1 = 10, y1 = 8

when x2 = 16, y2 = 14

By substituting these values into the formula,

m = (14 - 8)/(16 - 10) = 6/6 = 1

We would find the y intercept by substituting m = 1, x = 10 and y = 8 into the slope intercept equation. We have

8 = 1 * 10 + b = 10 + b

b = 8 - 10

b = - 2

Substituting m = 1 and b = - 2 into the slope intercept equation, the equation of the line of best fit is

y = x - 2

The slope is 1 and since it is small, it tells us that for each score of 1 that a student gets in quiz 2, he would likely get a score of 1 in quiz 1.

Since the y intercept is negative, it doesn't make sense in the concept of the problem because a student cannot earn a negative score in any of the quizzes. The y intercept tells us that the student earned - 2 in quiz 2 and 0 in quiz 1

Answer:  B) 46.67% approximately

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

Work Shown:

A = it will be cloudy tomorrow

B = it will be rainy tomorrow

P(A) = 0.30

P(B) = 0.15

P(A and B) = 0.14

Apply the conditional probability formula.

P(B given A) = P(A and B)/P(A)

P(B given A) = 0.14/0.30

P(B given A) = 0.4667 approximately

P(B given A) = 46.67% approximately

Answer:

b)  About 46.67%.

Step-by-step explanation:

Let event A = being cloudy.

Let even B = being rainy.

Given probabilities:

Therefore:

Conditional Probability Formula

[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

The probability of being rainy given it is cloudy = P(B | A).

Substitute the given values into the formula:

[tex]\implies \sf P(B|A)=\dfrac{0.14}{0.3}=0.46666...=46.67\%\;(2\;d.p.)[/tex]

Therefore, the probability of it being rainy if you know it will be cloudy is about 46.67%.

Answer:

$4,167.27

Explanation:

The amount, A(n) in an account for a Principal invested at compound interest is calculated using the formula:

In the given problem:

• P = $11,000.00

• r=11% = 0.11

• n= 3 years

• k=2 (semi-annual)

Substitute these into the formula:

Next, we find the interest earned.

You would earn $4,167.27 in interest (rounded to 2 decimal places).

Answer: 7

Step-by-step explanation:

Distance (d) = √(10 - 3)2 + (3 - 3)2

=√(7)2 + (0)2

=√49

=7

ANSWER

495 ways

EXPLANATION

Carolina has 12 apps to choose from and she only has space for 4 apps.

To find out how many ways she can do it, we will need to use combination.

That is:

Note: we use combination because the order of the apps is not a factor

So, we have that:

She can arrange them in 495 ways.

We have the next function that models the Australian GDP since 1960 :

Where t is the number of years since 1960.

a)If we are in the year 1960, it means t=0

Therefore:

b)Now, we need to find the Australia capita in 1963.

This means t=3

Therefore:

c) We need to find when the function is equal to 100,000.

Therefore we equal the function G(t)=100,000.

Then:

Solve for t:

Divide both sides by 1806:

Add Ln for each side:

Then:

Rounded to the nearest year:

Therefore: 1960 +110 = 2070

On 2070 the Austranlian GDP reaches 100,000 USD

The segments cannot be set equal since the constant terms 15 is greater than two. The variable x remains like a constant term in both sides of the point B.  we say that 15x > 2x

In mathematics, the signs used inequality calculations are

Using the picture as evidence the mark represented by B is not the midpoint hence the equality sign will not be used here. The sign to be used is the inequality sign.

In addition, the constants 15 and 2 shows that 15 is greater than 2. and there is no other addition to the variable x to help check the effect of the greatness of 15

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The trail map having a trail length of 7 1/2 in has an actual distance of 3 miles

The amount Kepler paid for the tool not including tax is $120

34% of 850 is 289

Given that

5 in ⇒ 2 miles

7 1/2 in ⇒ ?

The question is about scaling a map, the scale is 2miles is represented by 5 inches. This information is used to calculate the actual length when a measure of 7 1/2 inch is taken from the drawing

5 * ? = 7 1/2 * 2

? = 7 1/2 * 2 / 5

? = 3 miles

Hence 7 1/2 inch in the drawing represent an actual distance of 3 miles

Given that:

with a discount of 40% off the regular price

The regular price was $200

A discount of 40% is given to Mr Kepler. Discount represents amount less the total amount. At a 40% discount Mr Kepler paid 60%  

40% = 0.4

40% discount = 1 - 0.4 = 0.6 (equivalent to 60%)

The amount Kepler paid

= 0.6 * 200

= $120

Knowledge of percentage is used here and the amount Mr Kepler paid is $120 not including tax

34% of 850

The statement 34% of 850 means 34 divided by 100 multiplied by 850. The division by hundred takes care of the percent, then "of" means multiplication

34% = 0.34

0.34 * 850 = 289

Hence, we conclude that the concept of percentage and division is used to solve 34% of 850 to get 289

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The Solution:

Given the equation of a line below:

Step 1:

We shall determine the x-intercept and y-intercept of the given line.

x-intercept: The value of x when y=0

Dividing both sides by 2, we get

Similarly,

y-intercept: the value of y when x=0

Dividing both sides by 2, we get

Determine the inequality symbol that will be used to replace the equality sign.

If the straight line is unbroken, it means the points on the line are inclusive. So, the inequality symbol will not be a strict inequality. It will be one of these two inequalities:

Determine the exact inequality symbol that will represent the shaded region.

If the shaded region is below the line, the correct inequality will be:

But where the shaded region is above the line, the correct inequality symbol will be:

From the given graph, it is clear that the shaded region is above the line. So, it follows that the correct inequality is:

Therefore, the correct answer is:

EXPLANATION

If x+2 is a factor, we need to equal the factor to zero, isolate x and substitute the value into the function:

Plugging in x=-2 into the function:

Computing the powers:

Multiplying numbers:

Adding numbers:

Adding +6m to both sides:

Dividing both sides by 6:

Simplifying:

In conclusion, the value of m is 12

Newton's Second Law, F=m.a, describes the relationship between an object's mass, a force acting on it, and the resulting acceleration, where: F is force, in Newtons m is mass, in kilograms a is acceleration, in meters per second squared A young boy and his tricycle have a combined mass of 30 kilograms. If the boy's sister gives him a push with a force of 60 Newtons, what is his acceleration? 1 2 meter per second squared 2 meters per second squared 30 meters per second squared 90 meters per second squared​

we have that

F=m*a

we have

m=30 kg

F=60 N

substitute in the formula

60=30*a

solve for a

a=60/30

a=2 m/s^2

therefore

Answer: I thought you already asked this question.

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

sample proportion = 0.3

widest 95% confidence interval

sample = ?

Step 02:

p = 0.3

1 - α = 0.95 =>> z α/2 = 1.96

We must check each value to find the solution.

A. sample = 36

confidence interval (0.1501 , 0.4499)

difference = 0.2998

B. sample = 56

confidence interval (0.18 , 0.42)

difference = 0.24

Analyzing these two values, we can conclude that the widest confidence interval will be for the smallest sample.

The answer is:

Sample = 36

The length of the ladder is L = 8 foot.

The angle of ladder with ground is 70 degree.

The ladder lean on the wall can be expressed as,

Determine height on the wall to which ladder is up on the wall.

So up the wall is the ladder is 8 foot.

Answer:

The ans C hope it helps u

have a good day

Answer:

B. p = −8

Step-by-step explanation:

Hope this helps you on whatever your doing. :))
if its incorrect, please let me know.

The solution is, the value is, p = −8.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

p^3 = −512.

so, we know, p^3 = p*p*p

and, 512 = 8*8*8

now, we get,

p^3 = - 8*8*8

so, solving we get,

p = -8

Hence, The solution is, the value is, p = −8.

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Answer:

Graph A

Step-by-step explanation:

It is a function of f(x) = 2

By definition, an equation is a statement that two mathematical expressions are equal.

Equations always contain the equal sign "="

Out of the 4 expressions listed, number 2. does not contain the equal sign, which means that this expression is not an equation.

All other expressions contain the equal sign, they can be considered equations.

The percent of decrease in mileage is 30%.

From the information, the woman transit in her room tour, which got 40 miles per gallon on the highway and purchased a new car which is 28 miles per gallon. The decrease will be:

= 40 - 28 = 12 miles per gallon.

The percentage decrease will be:

= Decrease in mileage / Initial mileage × 100

= 12/40 × 100

= 3/10 × 100

= 30%

This illustrates the concept of percentage.

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Answer:

5, 6

Step-by-step explanation:

using Vieta's formulas:

x₁ + x₂ = 11

x₁*x₂ = 30

x₁ = 5

x₂ = 6

To solve this problem we must use proportions

The length of the shortest ladder is 14.

letter B is the correct answer.