Refer to the figure below to answer the following questions: (a) When placed in Quadrant ), name the coordinates of point T that forms parallelogram QTRS. (b) When placed in Quadrant II, name the coordinates of point T that forms parallelogram QRST. (c) When placed in Quadrant IV, name the coordinates of point T. that forms parallelogram QRTS. Given Points Q(-1,3), R(3.0), and S(-2,-1) Q T. S

In all cases use the following formula for the are of a rectangular shape:

A = lw

Plot A:

The area and height are known, then, solve the formula for the length l:

l = A/w

repace the given values

l = (204 ft²)/(10.2 ft)

I = 20 ft

For the perimeter you have:

P = 2l + 2w = 2(20 ft) + 2(10.2 ft) = 60.4ft

Plot B:

The length and the perimeter are known. For the expression for the perimeter solve for w:

P = 2l + 2w

w = (P - 2l)/2

replace the values of P and l:

w = (57.56 ft - 2(12.78 ft))/2 = 16 ft

Then, replace in the formula for the area:

A = lw = (12.78 ft)(16 ft) = 204.48 ft²

Plot C:

The area and the height are known. Use the formula for A to obtain the length:

l = A/w = 204.49 ft/14.3 ft = 14.3 ft

and for the perimeter:

P = 2w + 2l = 2(14.3 ft) + 2(14.3 ft) = 57.2 ft

Hence, you can conclude:

- The plost with the least amount of fencing is the plot with the lowest perimeter, hence, Plot C requires the least amount of fencing.

- The plot with the greatest area is Plot A.

As given by the question

There are given that the equations:

Now,

According to the given question,

The correct matching values are;

Explanation:

We can see that the points are mapped as:

Therefore the coordinates of each point change to its opposite.

Answer:

The rule is:

B. (x, y) → (-x, -y)

Since both triangles are congruent, the proportion between their sides is the same, so we can write:

x = 23

Answer:

x = 23

Answer:

15625

Step-by-step explanation:

5x5x5x5x5x5=15625

5 times itself 6 times

According to the given graph, the angles are linear pairs because they are on a straight angle, so the must sum 180°. Having said that, we express the following.-

We reduce like terms

Then, we subtract 10 on each side.

At last, we divide the equation by 5.

We use this value to find the angles.

Regular tessellations use identical regular polygons to fill the plane. The polygons must line up vertex to vertex, edge to edge, leaving no gaps.

Semi-regular tessellations have two properties:

• They are formed by two or more types of regular polygon, each with the same side length

• Each vertex has the same pattern of polygons around it.

There are 8 semi-regular tessellations in total. We know each is correct because again, the internal angle of these shapes add up to 360.

For example, for triangles and squares, 60 × 3 + 90 × 2 = 360.

(credited)

The given equation is,

The equation can be solved as,

Thus, the requried value of p is 15.N

We have the following system of equations:

Solving by substitution method.

If we substitute equation A into equation B, we get

since 5(-4)= -20, we have

If we move -20 to the right hand side as +20, we obtain

since -16+20=20-16 = 4, we get

and finally, y is equal to

Since equation A tells us that x=-4, the solution of the system is

Given:

Explanation:

The required function is given as,

Given the expression:

To determine an equivalent expression, the first step is to open the bracket.

Therefore:

• Charges $600 to play for the night.

Notice that this cost is to play the whole night, it's a fixed cost.

• Charges $375 plus $10 for each ticket sold.

• The sophomore sold 30 tickets.

This band has a fixed cost plus a fee of $10, which is $300 more because they sold 30 tickets.

So, the cost of this band would be

The score that cutt off the middle 50 percent of all scores is 43.2

For a normal distribution, the normal value is the mean

It divides the curve in 50%-50%

Mean score, μ = 43.2

Standard Deviation, σ = 8.6

P(X≤a)=0.5

Use Z =(X-μ)/δ ~N(0;1)

b =(a-μ)/σ

P(Z≤b)=0.5

The value is b=0 (the mean for Z)

a=(b*σ)+μ

a=(0*8.6)+43.2

a=43.2

Therefore, the score that cutt off the middle 50 percent of all scores is 43.2

First we need to calculated the missing angle

the intern angles of a triangle must be 180°

angle +63+60=180

angle=57

the shortest side is AB

the next side is AC

and the longest side is CB

t

Answer:

Step-by-step explanation:

According to the binomial distribution, there is a 0.128 = 12.8% chance that it will take her precisely 3 pushes to start the mower.

It has a 20% chance of starting on any given pull, therefore

Item

a:This probability is P(X = 0) when n = 2, multiplied by 0.2, which is the probability that it starts on the third, and it is that it doesn't start on the first two. Hence:

It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.

Item b:When n = 10, this probability is none on the first 10 and is hence P(X = 0):

Her chances of needing more than 10 pushes to start the mower are 0.1074, or 10.74%.

It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.

Item b:On the first, there is no chance in this.

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m ≥ 1395 minutes

Monthly fee = $15

fee paid per minute of use = $0.05

let the number of minutes she used = m

The least amount she has been charged = $84.75

least is written as ≥ $84.75

The equation:

Monthly fee + fee per minute(number of minutes) = The total charge

The equal sign changed below since the question mentioned the least amount

$15 + 0.05(m) ≥ $84.75

15 + 0.05m ≥ 84.75

To get the possible number of minutes, we will solve for m:

15 + 0.05m ≥ 84.75

subtract 15 from both sides:

0.05m ≥ 84.75 - 15

0.05m ≥ 69.75

divide both sides by 0.05:

m ≥ 69.75/0.05

m ≥ 1395 minutes

The possible number of minutes she has used her phone in a month is at least 1395 minutes

We know that in our model 3 inches represent 4 m, to determine how tall the building is with the knowledge that the model is 84 in we can use a rule of three:

then:

Therefore, the building is 112 meters tall.

Related with the picture and your question, you should notice that an element is not contained in a set, that in your case is the plane B, when any of its points is outside of this one.

Then by the picture we could notice that the line q is not contained at the plane B, because the point G is inside q but it is not in B.

Using the secant-secant theorem,

[tex]m\angle FRT=\frac{140^{\circ}-50^{\circ}}{2}=\boxed{45^{\circ}}[/tex]

Answer: 45 degrees

Step-by-step explanation:

Using the secant-secant theorem

Answer:

$60,125

Explanation:

We'll use the below formula to determine how much Devin will pay altogether;

where A = final amount = ?

P = principal amount = $2600

r = interest rate in decimal = 8.75/100 = 0.0875

t = time in years = 15 years

Substituting the given values into our formula and solving for A, we'll have;

Therefore, Devin will pay $60,125 altogether.

Given:

There are given that the inequality graph.

Explanation:

In the given question, there are given number line graphs, in which the arrow has been shown in a negative direction.

Also,

There are given that the number 2 has not been included in the given graph.

So,

The inequality will be:

Final answer:

Hence, the inequality is shown below:

Here, we want to get the response of the given function with respect to the change in the value of the leading coefficient

As we can see from the question, what we have is an example of an exponential function

Generally, with exponential function with a positive value for a, as the value of x moves closer to negative infinity, we have that the value of f(x) moves closer to 0. What this mean is that with a decrease in the value of x, the value of f(x) moves closer to 0

Hence, as the domain value moves closer to negative infinity, the value of the range moves closer to 0. Furthermore, as the value of the domain moves closer to positive infinity, the value of the range also close in on positive infinity

The above situation is for a being positive (given as 2)

Now, when a becomes negative, we have an opposite direction for the plot

Although, as the domain value moves closer to negative infinity, we have the value of f(x) being closer to zero. This is directly as above

However, as the domain moves towards positive infinity, the value of the range moves closer to negative infinity

In summary;

7(3x-4) = 6x -4 +3x +12​

Distributing:

7(3x) -7(4) = 6x -4 +3x +12​

21x - 28 = 6x -4 +3x +12​

Combining similar terms:

21x - 28 = (6x + 3x) + (-4 +12​)

21x - 28 = 9x + 8

9x is adding on the right, then it will subtract on the left

28 is subtracting on the left, then it will add on the right

21x - 9x = 8 + 28

12x = 36

12 is multiplying on the left, then it will divide on the right

x = 36/12

x = 3

Explanation:

Multiply 68.22 by 1.2 to get 81.864 or $81.86

Considering the following:

a) 1/4 chance that you will be the team member who gets supplies tomorrow

b) A 25% chance of snow tomorrow

c) A 0.8 probability of eating vegetables with dinner

d) P(blue marble) = 5/8

e) A 0.10 probability that it will be 85º on Saturday

Then:

1/4 =0.25 and 25% represents the same amount

A 0.8 probability is equivalent to 80% of probability of eating vegetables.

P (blue marble) = 5/8 5: 8 =0.625 what is equivalent to 62.5 if we multiply it by 100

And Finally 0.10 probability is a probability of 10% of 85ºF on Saturday

Placing all this values on a line by increasing order

Roughly sketched.

Remember that Probability is always represented within an interval between 0 and 1

ANSWERS

a. 863.08 ft²

b. 474 ft²

c. 249 ft²

d. $4,259.24

EXPLANATION

Given:

• Rooms with ,carpet,: Family room and living room

• Rooms with ,hardwood,: kitchen and foyer

• Rooms with ,tiles,: breakfast nook and mudroom

• Cost ,carpet,: $1.80 per square foot

• Cost ,hardwood,: $4.50 per square foot

• Cost ,tiles,: $2.30 per square foot

First, we have to find the area of each of the mentioned rooms,

a. The family room is in the shape of a square whose sides are all 20 feet and a semicircle whose diameter is 20 feet. The area of the family room is the sum of the areas of each of these figures,

As shown above, the area of the semicircle is half the area of the full circle with the same diameter. Solve,

The living room is in the shape of a rectangle with side lengths 15ft and 22ft, but a right triangle is cut out from the corner. The area of the living room is the area of the mentioned rectangle minus the area of the triangle of the corner,

The side lengths of the triangle are 15ft - 9ft = 6ft and 22ft - 14ft = 8ft. The area of the triangle is,

So, the area of the living room is,

The area that Rachel wants to cover with a new carpet is,

Hence, the area to be covered with carpet is 863.08 ft².

b. The kitchen is a rectangle with dimensions 24 ft and 15 ft, so its area is,

The foyer is in the shape of a rectangle with dimensions 10ft and 15ft. However, assuming that the stairs won't be covered with hardwood and that they cover that part of the foyer's floor, to find the area we have to subtract the area the stairs occupy in that room.

The rectangle where the stairs are has dimensions 9ft and (10ft - 6ft ) = 4ft. The area of the Foyer is,

The area Rachel wants to be covered by hardwood is the sum of the two,

Hence, the area to be covered with hardwood is 474 ft².

c. The mudroom is in the shape of a rectangle with dimensions 15 ft and 7 ft, so its area is,

The breakfast nook is in the shape of a trapezoid, where the height is 8ft and the lengths of the bases are 24ft and 12ft. Its area is,

The area Rachel wants to cover with tiles is the sum of these two areas,

Hence, the area to be covered with tiles is 249 ft².

d. Finally, we have to find the cost of flooring with each material,

The total cost of the project is the sum of the three,

Hence, the total cost of the re-flooring project will be $4,259.24.

The initial amoud on her savings is $4400, so now we can calculate the interest that she generate in one year:

so in 8 year is going to be:

So the total amoud will be the initial amound plus the interest she earn so:

and rounded would be like:

Answer:5684

Step-by-step explanation:

pe

Oce we have the factors, we must equal each factor to zero, then we solve for x to find the zeroes of the equation.

Ex.

(x - 3)(x + 2) = 0

the factors are (x - 3) and (x + 2)

Equal to zero

x - 3 = 0 x + 2 = 0

Solve for x

x = 3 x = -2 and these are the zeroes of the

equation.

Answer:

To find de ceros you can take each factor and use the 0 product property, then you solve to find the value of the cero.

If we have that the pool is currently 3/4 full, we need to multiply this fraction by the total the small pool can hold. That is (with no units):

Therefore, the pool currently has 54.735 gallons (3/4 of its total capacity) (we multiply 3 times 72.5, and then we divide this result by 4).