Marcus is wanting to prove that parallelogram ABCD is a square. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a square? Why or why not. Explain your reasoning in complete sentences.

Answer:

The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel as the boundary between British North America and the US across the West.Forty-Ninth ParallelCutting on the 49th parallel, on the right bank of the Moyie River, looking west, 1860.(courtesy North American Boundary Commission)The Convention of 1818 was a treaty between the United States and Britain that set the 49th parallel of latitude as the boundary between British North America and the US across the West. This remains the boundary today between the two nations.

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The simple interest is $420 and the maturity value is $$6,720

Using this formula to find the simple interest

Simple interest = Principal  × Interest rate × Time

Where:

Principal = $6300

Interest rate =4% or 0.04

Time = 20 month = 20/12 = 1.6666666

Let plug in the formula

Simple interest = $6,300 × 0.04 × 1.6666666

Simple interest = $420

Using this formula to find the maturity value

Maturity value = Principal + Interest

Maturity value = $6,300 + $420

Maturity value = $6,720

Therefore the interest is $420.

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To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

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This is a classic riddle.3 quarters4 dimes0 nickels4 pennies If you have 4 quarters, you have change for 1 dollar.If you have 5 dimes, you have change for 2 quarters.If you have any nickels, 1 of those could combine with 2 dimes to have change for a quarter.If you have 5 pennies, you have enough change for 1 nickel. 3 * .25 + 4 * .10 + 4* .01 = x.75 + .40 + .04 = x1.19 = x

Based on the results, the below  list shows a comparison of the overall performance of the portfolios, from best to worst:

Portfolio 2, Portfolio 1, Portfolio 3

Portfolio 1:

total investment=$1250+$575+$895+$800+$1775

total investment = $5295

weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)

weighted average ROR = 3.23%

Portfolio 2:

total investment = $950 + $2025 + $1185 + $445 + $625

total investment = $5230

weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)

weighted average ROR = 5%

Portfolio 3:

total investment = $900 + $2350 + $310 + $1600 + $2780

total investment = $7940

weighted average ROR = (  12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)

weighted average ROR = 1%

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Answer:

420

Step-by-step explanation:

120 x 3 = 360

360 + 60 = 420

Answer: Php420

Step-by-step explanation:

cost of 10 oranges = Php120

cost of 1 orange = 120/10 = Php12

therefore, cost of 35 oranges = 12 x 35 = Php420

Hope it helped u,

pls mark as the brainliest          - Ayaan707 for help :) -

^_^

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

Answer:

17 3/4 feet long

or

17.75 feet long

Step-by-step explanation:

11 1/2 -> 11 2/4 (just multiplying numerator/denominator by 2

11 2/4 + 6 1/4 = 17 3/4

Answer:

17 3/4

Step-by-step explanation:

Convert 6 1/4 to an improper fraction (25/4)

Convert 11 1/2 to an improper fraction (23/2)

Multiply 23/2 by 2/2 to get a common denominator

which makes 25/4 +23x2/4

And 25+46=71

So 71/4

Then to change it back into a mixed number you divide 71 by 4 and get

17 3/4

Answer:

Unit rate: 56.67 miles per hour

9 hours: 510 miles

plz mark brainliest :DD

Answer:

1. 56.66666667

2.504

Step-by-step explanation:

Answer:

55mph

Step-by-step explanation:

Answer:

the answer would be 55mph

Step-by-step explanation:

put 165 as the numerator and 3 as the denominator then divide the numerator by the denominator and you would get 55mph

Does this help??

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

She has to get a score of 88 on that test

Step-by-step explanation:

Take the average of the other grades, and that gives you 84.25. So she has to think about what rating she gives it is 85, and the rating is 88.

Hailey needs to score an 88 on the last exam in order to get an average of 85.

The overall average is the mean and the mean is calculated by adding up all the scores and then dividing by the number of exams.

There are 5 exams but only 4 scores. The 5th score will be denoted, "x" and the average we are looking for is 85.

The fifth score should therefore be:

Overall score = Sum of 5 exams / 5

85 = (86 + 94 + 76 + 81 + x) / 5

85 x 5 = 337 + x

425 = 337 + x

x = 425 - 337

= 88

In conclusion, Hailey needs a score of 88 on the fifth exam.

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Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

in order

y = -3x + 5

y = 1/2(x) + 2

y = -x - 3

y = 2/3(x) - 2

Step-by-step explanation:

slope-intercept form is y= mx + b

10. 6x + 2y = 10

2y = -6x + 10, subtract 6x from both sides

y= -3x + 5, divide both sides by 2

11. x + 2y = 4

2y = x + 4, subtract x from both sides

y = 1/2(x) + 2, divide both sides by 2

12. x + y = -3

y = -x - 3, subtract x from both sides

13. -2x + 3y = -6

3y = 2x - 6, add 2x to each side

y = 2/3(x) - 2, divide both sides by 3

How would you describe the difference between the graphs of f(x) = 2x² and g(x) = -2x²: D. g(x) is a reflection of f(x) over the x-axis.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

In this context, we can reasonably infer and logically deduce that a graph of transformed function g(x) = -2x² would be created by applying a reflection over or across the x-axis to the graph of the parent function f(x) = 2x² as shown in the image attached below.

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Answer:

Given:

Total women -  189

Smokers - 74

Non-smokers - 115

The difference in 2 samples mean birth weight = 281.7 grams

95% confident that the mean weight = between 76.5 grams to 486.9  

solution:

The best interpretation would be -

95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.

The question is incomplete. The complete question is :

Consider a particle in a one-dimensional box defined by V(x)=0, a>x>0 and V(x)=infinity, x a, x 0. Explain why each of the following un-normalized functions is or is not an acceptable wave function based on criteria such as being consistent with the boundary conditions, and with the association of psi^+(x)psi(x)dx with the probability.

a). \($A \cos \frac{n \pi x}{a}$\)

b). \($B(x+x^2)$\)

c). \($Cx^3(x-a)$\)

d). \($\frac{D}{\sin \frac{n \pi x}{a}}$\)

Solution :

a). The function of cosine here do not go to the value 0 at the boundary of the box (that is to be expected as V is infinite there).

\($ \Psi (0) = A$\)   and   \($ \Psi (a) = A \cos(n \pi) = \pm 1$\)

Therefore it is not an acceptable function.

b). The function in this case goes to 0 at \($x=0, $\) but is non zero at \($x=a$\). So this function is also not acceptable.

c). The function here goes to 0 at both \($x=a$\) and \($x=b$\) . But this wavelength can never satisfy the time independent Schrodinger equation.

\(-\frac{\hbar^2}{2m}\frac{d^2}{dx^2}\Psi(x)\neq E\Psi(x)\quad \text{for} \ \quad \Psi(x)=Cx^3(x-a)\)

Therefore, \($\Psi + \Psi $\) here can not be associated with the probability.

d). Here, the function goes to the infinite at \($x=0 $\)  and \($x=a$\). Thus this is also not valid choice for the wave function.

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

28 words Maria got right

Step-by-step explanation:

70% of total words Maria got right

Therefore:

\(\frac{70}{100} *40= 28\)

The rate at which the top of ladder slide down is 8.48 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, \(a^{2}+b^{2} =c^{2}\)

Given that,

Length of the ladder is, \(l=9ft\)

Let the top of ladder be at height of 'h' and the bottom of the ladder be at a distance of 'b' from the wall.

Now, from triangle ABC,

\(AB^{2} +BC^{2} =AC^{2}\)

\(h^{2} +b^{2} =l^{2}\)

\(h^{2} +b^{2}\) = \(9^{2}\)

\(h^{2} +b^{2}\) = 81               (Equation-1)

Differentiating the above equation with respect to time, 't'.

So,

We can write,

\(\frac{d}{dt} (h^{2}+b^{2} )\) = \(\frac{d}{dt}\) (81)

\(\frac{d}{dt} (h^{2}+b^{2} )\) = 0

\(2h\frac{dh}{dt} +2b\frac{db}{dt}\) = 0

\(h\frac{dh}{dt} +b\frac{db}{dt}\) = 0                (Equation-2)

In the above equation the term \(\frac{dh}{dt}\) is the rate at which top of ladder slides down and \(\frac{db}{dt}\) is the rate at which bottom of ladder slides away.

Let us assume,

h = 3 ft and db/dt = 3 ft/s

We can substitute values in equation-1,

\(3^{2} +b^{2}\) = 81

9 + \(b^{2}\) = 81

\(b^{2}\) = 81-9

\(b^{2}\) = 72

b = \(\sqrt{72}\)

b = 8.48 ft

Now, plug in all the given values in equation (2) and solve for \(\frac{dh}{dt}\)

3*\(\frac{dh}{dt}\) + 8.48 * 3 = 0

3*\(\frac{dh}{dt}\) + 25.44 = 0

3*\(\frac{dh}{dt}\) = - 25.44

\(\frac{dh}{dt}\) = -25.44/3

\(\frac{dh}{dt}\) = - 8.48 ft/s

Therefore,

The rate at which the top of ladder slide down is 8.48 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.

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Answer:

25%

Step-by-step explanation:

Answer:

the price of a substitute good increased

Step-by-step explanation:

....

Answer:

472.2 km

Step-by-step explanation:

Answer:

B. 8d¹⁵e³f⁹

Step-by-step explanation:

When an exponent is raised to an exponent, you multiply them together.

For example, (d⁵)³ = d¹⁵

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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