A transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°. What is the value of x?

Answer:

-21F

Step-by-step explanation:

You basically count 14+7 equal 21 so -14-7 is -21.

The measure of angle MAD is 90 degrees, the measure of angle MAB and MED is 120 degrees, and the measure of angle MCD and MFE is 60 degrees.

Angle MAD is a right angle since AD is the circle's diameter (90 degrees). In order to determine the length of AB, we can utilise the Pythagorean theorem:

AB^2 = AD^2 - BD^2

AB^2 = 78^2 - (27 + 42)^2

AB^2 = 6084 - 4225

AB^2 = 1859

AB = √1859

Secondly, we can make use of the equality of angles scribed in an arc. As arc MD is intercepted by both angles MAB and MED, they must be equal. Angles MCD and MFE both intersect arc ME, indicating that they must be equal. Let x be the angle between MAB and MED, and y represent the angle between MCD and MFE. Next, we have:

x + y = 180 - 90 (angles around a point add up to 360 degrees) (angles around a point add up to 360 degrees)

x + y = 90

Considering that they both intersect the same arc ME, angle MEF is half that of angle MAB. As a result, we have:

MEF = (1/2)MAB

MEF = (1/2)(x)

Considering that they both intersect the same arc MD, angle MDC is half that of angle MED. As a result, we have:

MDC = (1/2)MED

MDC = (1/2)(x)

Lastly, we may make use of the fact that in a cyclic quadrilateral, the opposing angles sum to 180 degrees. In the cyclic quadrilateral MDEF, angles MEF and MDC are opposite angles, hence we have:

MEF + MDC = 180

(1/2)x + (1/2)x = 180

x = 120

As a result, the angle MAD is measured at 90 degrees, the angles MAB and MED are measured at 120 degrees, and the angle between MCD and MFE is measured at 60 degrees.

To know more about Angle Measure visit:

https://brainly.com/question/14684647

#SPJ1

Answer:

An ordered pair that is the solution to the system of equations lies on the y-axis.

The y-coordinate of a solution to the system of equations is 4.

EXPLANATION

The given system has equations:

We equate both equations to get:

This implies that,

When x=0, y=-(0)+4=4

When x=-3, y=-(-3)+4=7

The solutions are: (0,4) and (-3,7)

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

The correct option is;

C. The polynomial in standard form is 2·x⁵ + 6x³ + x² - 4

Step-by-step explanation:

The given polynomial is x² + 6x³ - 4 + 2·x⁵

Therefore, we have;

The highest power in the polynomial is 5, therefore, the degree of the polynomial is 5

The end behavior is f(x) → ∞ as x → ∞ and f(x) → - ∞ as x → -∞ which is not similar to f(x) = -x

The standard form is accomplished by arranging the polynomial in decreasing powers of x that is rom the biggest too lowest exponent as follows;

2·x⁵ + 6x³ + x² - 4

The polynomial decreases fox x < 0

Degree of polynomial is the highest power written in the equation

thus the correct answer is C for the question

Explanation

Thus we conclude that the answer to the above question C

To know more about degree of polynomial

https://brainly.com/question/20368118

The inequality that represents the amounts in dollars that could be deposited in a new checking account is a ≥ 75.

This inequality states that "a" must be greater than or equal to 75 dollars, which is the minimum deposit required for opening a new checking account.

the inequality "a ≥ 75" represents the amounts in dollars that could be deposited in a new checking account, where "a" is the amount being deposited and must be greater than or equal to $75.

To represent this mathematically, we can use an inequality. An inequality is a statement that compares two values using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "! =" (not equal to).

To know more about Inequality:

https://brainly.com/question/30231190

#SPJ4

The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.

The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.

The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.

Learn more about Prandtl number here:

https://brainly.com/question/32353670

#SPJ11

Multiply 5 by 3.-15

I hope this is right :P

The value of (-5)³ is -125.

To evaluate the expression (-5)³, we follow the order of operations, which is to perform the exponentiation first.

(-5)³ means raising -5 to the power of 3.

(-5)³ = (-5) × (-5) × (-5) = -125

Therefore, (-5)³ equals -125.

To know more about value, refer here:

https://brainly.com/question/14316282

#SPJ6

The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

Learn more about equivalent equation at https://brainly.com/question/29013156?referrer=searchResults

#SPJ11

Answer:

-1/4

Step-by-step explanation:

Multiplicative inverse is another word for reciprocal

It is the number you multiply by to get 1

-4 * x = 1

Divide each side by -4

x = 1/-4

x = -1/4

Answer:

- 1/4

Step-by-step explanation:

- 4 * x = 1

= - 1/4

Hope this helps!

Calculating the sine, cosine and tangent of the angle pi/6 (that is, 30°), we have that:

A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

We know that, the odds ratio is one that is often calculated with the use of the number of case-patients who were or were  not exposed to a factor (e.g. as a particular cream) and the number of controls that did or did not have the exposure.

Odds ratio is nothing but  is a measure of association between exposure and an outcome.

It calculates the relationship between a variables and the likelihood of an event occurring.

Note that there are different kinds of statistical tool  that are used for research purpose.

Therefore, A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

Learn more about statistical tool from

brainly.com/question/28214875

#SPJ4

Answer:

1. Yes, Elena is correct because her suitcase needs to weigh 30 pounds or less to avoid the fee and her suitcase weighs 29.8 pounds.

2. x<30

Step-by-step explanation:

The method of periodization that an athlete performs is  traditional periodization method.

Given,

An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;

Here,

The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.

As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.

Learn more about method of periodization here;

https://brainly.com/question/16038456

#SPJ4

Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

To know more about angle visit

https://brainly.com/question/25716982

#SPJ11

Answer:

\(x = 15 \: \: .....(5(15)- 14) = 61\)

\((9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15\)

Answer:

D

Step-by-step explanation:

D.Negative

The quotient of a positive integer and a negative integer is negative.

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

=> 2x = 5 - 3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

\(\boxed{ \boxed{\huge\bf \; x = 1}}\)

Step-by-step explanation:

\( \underline{\bf \: Given \: equation:-}\)

\(2x + 3 = 5\)

\(\underline{ \bf \: To \: Find :-}\)

\(\rm Value\: of \: x \)

\(\underline{ \bf \: Solution :-} \)

\(\bf : \sf \longmapsto2x + 3 = 5\)

\(\underline{\rm Subtract \: 3\: from\: both \; sides:}\)

\(\bf : \sf \longmapsto2x + 3 - 3 = 5 - 3\)

\(\underline{\rm On \: Simplification:}\)

\(\bf : \sf \longmapsto2x + 0 = 2\)

\(\bf : \sf \longmapsto2x = 0\)

\(\underline{ \rm \: Divide \: both \: sides \: by \: 2 :} \)

\(\bf : \sf \longmapsto \: \cfrac{2x}{2} = \cfrac{2}{ 2} \)

\(\underline{\rm On \: Simplification:}\)

\(\rm Cancel \: 2 \: and \: 2 \: of \: LHS \: and \: then \: Cancel \: 2 \: and \: 2 \: of \: RHS(Leave\: x \: of \: LHS)\)

\( : \sf \longmapsto\cfrac{ \cancel2{x}}{\cancel2} = \cfrac{ \cancel2{}}{\cancel2}\)

\( \underline{\rm \: On \: Cancelling,}\)

\( : \sf \longmapsto1x = 1\)

As \(\rm 1x = x \)so,

\( : \sf \longmapsto \: x =\boxed{ 1}\)

________________________________

I hope this helps!

Please let me know if you have any questions.I am joyous to help!

:)

Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

To know more about the probability visit:

https://brainly.com/question/31321667

Answer:i tried

Step-by-step explanation:

Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ

Step-by-step explanation:

Answer:

Just simply input in your calculator arcsin of -5/6. Arcsin is the sign that looks like sin to the power of -1, even though it doesn't mean sin to the power of -1. This comes out to 303.6 degrees. So, it actually isn't in quadrant 3, it's in quadrant 4.

Step-by-step explanation:

Answer:

6cm square

Step-by-step explanation:

Answer:

The y-intercept of the line of fit is 60, which means that a student who studies for 0 hours is predicted to earn 60% on the test. This indicates that there is a positive correlation between the amount of time a student spends studying and their grade on the test.

Step-by-step explanation:

Answer:

Give the guy brainliest he deserves it

Step-by-step explanation:

Using z transform, we can find the discrete-time convolution between two sequences, h[n] and x[n]:

1. Take the z-transform of both sequences, h[n] and x[n], separately.

  - Let H(z) be the z-transform of h[n].

  - Let X(z) be the z-transform of x[n].

2. Multiply the z-transforms of the sequences together to obtain the z-transform of the convolution.

  - Y(z) = H(z) * X(z), where * denotes multiplication.

3. Take the inverse z-transform of Y(z) to obtain the discrete-time convolution sequence.

  - y[n] = InverseZTransform(Y(z))

Please note that the z-transform, multiplication, and inverse z-transform operations are specific to the mathematical representation of the sequences in the z-domain. The exact calculations will depend on the specific forms of h[n] and x[n].

To know more about z-transform refer here:
https://brainly.com/question/31962113#

#SPJ11

You can rent time on computers at the local copy center for 35 minutes with $25.

To find out how much time you can rent for $25 at the local copy center, follow these steps:

1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.

So, you can rent time on computers at the local copy center for 35 minutes with $25.

To learn more about rent

https://brainly.com/question/28452806

#SPJ11

3514 1404 393

Answer:

  (d)  8 cm and 9 cm

Step-by-step explanation:

The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...

  8 cm and 9 cm

Answer:

Step-by-step explanation:

#CARRYONLEARNING

The centrifugal compressor discharges 2500 cfm at a compression ratio of 1.2. We need to determine its operating characteristics (pressure and quantity) in the blower position given an atmospheric pressure of 14.5 psi (100 kPa).

To determine the operating characteristics in the blower position, we can use the compression ratio to find the discharge pressure. The compression ratio is the ratio of the discharge pressure to the suction pressure. Given that the compression ratio is 1.2, we can calculate the discharge pressure by multiplying the suction pressure (atmospheric pressure) by the compression ratio. Thus, the discharge pressure would be 1.2 times the atmospheric pressure.

Next, we can calculate the quantity of air discharged by the compressor in the blower position. The quantity of air is given as 2500 cfm (cubic feet per minute), which we can convert to m³/s by multiplying it by a conversion factor. Once we have the quantity of air, we can determine the operating characteristics in terms of pressure and quantity in the blower position.

In summary, given the compression ratio and the discharge quantity, we can calculate the discharge pressure by multiplying the compression ratio by the atmospheric pressure. Additionally, the quantity of air can be determined by converting the given discharge quantity to m³/s. These calculations will provide the operating characteristics (pressure and quantity) in the blower position for the centrifugal compressor.

Learn more about quantity here:

https://brainly.com/question/13968875

#SPJ11