The triangles are congruent by SSS or HL. Which transformation(s) can map MNQ onto PQN? translation only reflection only rotation, then reflection rotation, then translation

Answer:

Step-by-step explanation:

x=0

35 miles per hour was her average speed.

Let's use the formula:

distance = rate x time

Let's assume that the teacher's original average speed was "r" miles per hour.

Then, we know that:

280 = r x (t + 1) (since the teacher arrived 1 hour late)

280 = (r + 5) x t

We have two equations and two unknowns (r and t). We can solve for t in the second equation:

t = 280 / (r + 5)

Now we can substitute this expression for t into the first equation and solve for r:

280 = r x (280 / (r + 5) + 1)

Multiplying both sides by (r + 5) to eliminate the fraction:

280(r + 5) = r(280 + r + 5)

Distributing:

\(280r + 1400 = r^2 + 285r\)

Rearranging:

\(r^2 + 5r - 1400 = 0\)

Using the quadratic formula:

\(r = (-5 \pm \sqrt{(5^2 - 4(1)(-1400))}) / 2(1)\\\\r = (-5 \pm \sqrt{(5625)}) / 2\\\\r = (-5 \pm 75) / 2\)

Since a negative speed doesn't make sense in this context, we take the positive solution:

r = 35

Therefore, the teacher's average speed was 35 miles per hour.

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Answer:

2.73 meters away from the building.

Step-by-step explanation:

To find the distance from the building to the flagpole, we can use the tangent function. Let's call the distance from the building to the flagpole "d".

The tangent of the angle of elevation is equal to the height of the flagpole (h) divided by the distance from the building to the flagpole (d):

tan 48° = h / d

The tangent of the angle of depression is equal to the distance from the building to the flagpole (d) divided by the height of the observer (3.5 m):

tan 35° = d / 3.5

We can use these two equations to find the value of d. Solving the first equation for h:

h = tan 48° * d

And substituting that into the second equation:

tan 35° = d / (tan 48° * d / 3.5)

Solving for d:

d = 3.5 * tan 35° / tan 48°

Using a calculator, we can find that:

d = 3.5 * tan 35° / tan 48° = 3.5 * 1.3602668 / 1.7415198 = 2.73 m

So the flagpole is 2.73 meters away from the building.

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

t=3m

t = total number of movies she will watch

Step-by-step explanation:

Answer:

$400.72

Step-by-step explanation:

The value of x from given linear equation is -4.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For example, 2x+3=8 is a linear equation having a single variable in it.

Given that x + 16 + x = – 3 x – 4

To find the value of x solving the given linear equation

x + 16 + x = – 3 x – 4

⇒ 2x + 16 = -3x - 4

⇒ 2x + 3x = -4 -16

⇒ 5x = -20

⇒ x = -20/5

⇒ x = -4

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Answer:

4

Step-by-step explanation:

Boys  :  Girls

   4   to  5

Answer:

65 cm

Step-by-step explanation:

See the attached image.  The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.

\(16^2+63^2=x^2\\256+3969=x^2\\4225=x^2\\x=\sqrt4225}\\x=65\)

Answer:

8 petals per daisy

Step-by-step explanation:

200/25=8

doesnt that mean there's an average of 8 petals on each 1 flower.

The accrued amount of an investment is equal to the sum of the principal amount and the interest earned:

Write the expression in terms of the interest:

To calculate the interest, the first step is to determine the accrued amount after 5 years.

The savings account compounds annually, to determine the accrued amount you have to apply the following formula:

Where

A is the accrued amount

P is the principal amount

r is the interest rate expressed as a decimal value

t is the time in years

n is the number of compounding periods

The principal amount is P= $800

The interest rate of the account is 14%, to express it as a decimal value, divide it by 100

The time period for the investment is 5 years.

The account compounds annually, which means that there is only one compounding period per year, so, n=1.

Calculate the accrued amount:

After 5 years the accrued amount will be A= $1540.33

Finally, calculate the interest:

After 5 years she will have $740.33 of interest.

Answer:

s = 17 units

Step-by-step explanation:

In triangle ABD,

(AB)² + (BD)² = (AD)² (by Pythagoras Theorem)

=> 8² + 15² = s²

=> 64 + 225 = s²

=> s = \(\sqrt{289}\)

=> s = 17 units

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The equivalent equation using the completing the square is (x+6)^2 = 48

Given the quadratic equation

12x=13−x^2

Equate to zero to have;

−x^2 - 12x + 13 = 0

Multiply through by -1 to have:

x^2+12x - 13 = 0

Add 13 to both sides to have:

x^2+12x = 13

Complete the square

x^2+12x + (12/2)^2 = 12 + (12/2)^2

x^2 + 12x + 6^2 = 12 + 36
(x+6)^2 = 48

Hence the equivalent equation using the completing the square is (x+6)^2 = 48

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It looks like your equation (it's not an identity) is

2 cos(5x) cos(3x) + sin(x) = cos(8x)

Recall that

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==>   2 cos(x) cos(y) = cos(x + y) + cos(x - y)

so that

2 cos(5x) cos(3x) = cos(8x) + cos(2x)

Then the equation simplifies to

cos(8x) + cos(2x) + sin(x) = cos(8x)

cos(2x) + sin(x) = 0

Also recall that

cos(2x) = 1 - 2 sin²(x)

so the equation is quadratic in sin(x) and can be factorized:

1 - 2 sin²(x) + sin(x) = 0

2 sin²(x) - sin(x) - 1 = 0

(2 sin(x) + 1) (sin(x) - 1) = 0

Solve for x :

2 sin(x) + 1 = 0   or   sin(x) - 1 = 0

sin(x) = -1/2   or   sin(x) = 1

[x = arcsin(-1/2) + 2nπ   or   x = π - arcsin(-1/2) + 2nπ]   or   x = arcsin(1) + 2nπ

(where n is any integer)

x = -π/6 + 2nπ   or   x = -5π/6 + 2nπ   or   x = π/2 + 2nπ

Answer:

The answer is 4,492,369.

Step-by-step explanation:

First of all, how the HECK do you have 5 MILLION MARBLES?! Make the equation for the problem: 5049349 - 545000 + 45000 - 56980.

5049349 - 545000 + 45000 - 56980

4504349 + 45000 - 56980

4549349 - 56980

4492369

Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = \(\frac{Y2-Y1}{X2-X1}\)

m = \(\frac{9-(-3)}{6-(2)}\)

m = 12/4

m = 3

ANSWER

A 153/225 = 17/25 =0.68=68%

B 225/153 = 25/17 =1.47=147%

C 153/225 = 51/75 =0.51=51%

D 225/153 = 75/51 =0.75=75%

Answer:

The graph of the circle is not a function

There is no work done when pushing against a sturdy brick wall .

The energy that is transmitted to or from an object when a force is applied along a displacement is referred to as work in physics. In its simplest form, usually, force and displacement are used to explain it.. Positive work is the term for the component of a force that moves the point of application when it is applied. A force is said to do negative work if, at the point of application, one of its components points in the opposite direction of the displacement.

Since work is product of force and displacement , so if you are pushing against a sturdy wall lets say you apply n newton of force and wall has not displaced i.e. displacement becomes 0

so if you multuiply anything by zero it becomes zero

therefore work becomes 0 .

that means no work is done while pushing against a sturdy brick wall.

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Answer:

In scientific terms you do work when you exert a force on an object that causes the object to move some distance. Work is done on an object when the object moves in the same direction which the force is exerted.

ex. If you push a child on a swing you are doing work. If you lift a bag of groceries out of a shopping cart, you do work on the bag of groceries. The same thing is done when you pull your books out of your backpack.

If the object does not move, no work is done, no matter how much force is exerted.

Therefore your answer is c.)pushing against a sturdy brick wall

Step-by-step explanation:

Renata bought three times as much meat as Regina. Let's assume that Regina bought x kilograms of meat. According to the given information, Renata bought triple the amount Regina bought, which means Renata bought 3x kilograms of meat.

Therefore, the ratio of the meat purchased by Renata to the meat purchased by Regina is 3x : x, which simplifies to 3 : 1. This implies that Renata purchased three times as much meat as Regina. For example, if Regina bought 2 kilograms of meat, Renata would have bought 6 kilograms (3 times 2). The triple amount indicates that Renata's purchase quantity is three times greater than Regina's.

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QUESTION: Renata bought three times as much meat as Regina. Kilograms?

The expected value of the sample sum of the ticket labels in 9 independent random draws with replacement from the box is 4.

In order to find the expected value, we need to calculate the sum of all possible outcomes and divide it by the total number of outcomes.

Given the numbers on the tickets, the sum of all possible outcomes can be calculated by multiplying each number by the probability of drawing that number. Since there are 12 tickets in total, the probability of drawing each number is 1/12.

So, the sum of all possible outcomes can be calculated as follows:

((-5 * 2) + (-4 * 2) + (1 * 2) + (2 * 2) + (4 * 2) + (5 * 1) + (7 * 1)) / 12 = 4/12 = 1/3

Therefore, the expected value of the sample sum of the ticket labels in 9 independent random draws with replacement from the box is 1/3.

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Step-by-step explanation:

Pam made a mistake when multiplied fractions.

Correct way of multiplication involves the multiplication of both numerator and denominator.

She should have written

\(\cfrac{3}{8}*\cfrac{17}{8} =\cfrac{51}{64}\)

We are 98% confident that the true probability of flipping a head is between 0.434 and 0.466. (option a).

One way to estimate the probability of getting heads is to calculate the sample proportion, which is the number of heads divided by the total number of flips. In this case, the sample proportion is 55/100 = 0.55.

In this case, we are asked to find the 98% confidence interval for the probability of flipping a head. To do this, we can use a formula that takes into account the sample size, sample proportion, and level of confidence. This formula is:

sample proportion ± z* standard error

where z is the critical value from the standard normal distribution for the desired level of confidence (98% in this case), and the standard error is a measure of the variability in the sample proportion.

Using this formula, we can calculate the confidence interval for the given data.

The correct answer is (a) [0.434, 0.466].

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\( - 2y + x + 3 - 5x + 7 + 4y\)

\( = - 2y + 4y + x - 5x + 7 + 3\)

\( = 2y - 4x + 10\)

THIS IS YOU'RE ANSWER

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Answer:

−4+2+10

Step-by-step explanation:

First we add the numbers with no variable or exponent:

−2++3−5+7+4

−2++10−5+4

Then we combine the like terms. When combining like terms, you must find the numbers with the same variable/letter and add them. A number with the variable  cannot be added with the variable . They must be the same variable. Now let's combine the like terms in this problem.

−2++10−5+4

^ As you can see, the variable  does not have a coefficient, so we just use the number 1 as a coefficient. If a variable doesn't have a coefficient, always use 1.

−2−4+10+4

Now we combine the other like terms.

−2−4+10+4

2−4+10

And last, we rearrange the numbers.

To rearrange the numbers, you have to start with the numbers with variables. You must start with the variable that comes first in the alphabet. Then we add the number with no coefficient, just a number by itself. If there's ever an exponent, add the coefficient with an exponent first in the answer.

−4+2+10

Hope this helps! ;)

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The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

\(\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}\)

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