find the missing side of each triangle GIVE STEP BY STEP PLEASE!!!

When two of a triangle's angles and one of its included sides are congruent with the equivalent portion of another triangle, the two triangles are said to be in AAS or ASA congruency.

AAS Congruency:

Therefore, when two of a triangle's angles and one of its included sides are congruent with the equivalent portion of another triangle, the two triangles are said to be in ASA or AAS congruency.

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Aubrey has practiced piano at the rate of 54 minutes per day.

What is a unit conversion in mathematics?

Unit conversion is a multi-step process that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.

Aubrey practices the piano for 1890 minutes in 5 weeks.

In one week there are 7 days.

So the total number of days will be = 5 * 7

                                                          = 35 days.

So Aubrey has practiced piano at the rate of = 1890/35 minutes per day

                                                                = 54 minutes per day.

Hence, Aubrey has practiced piano at the rate of 54 minutes per day.

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The model assumption are satisfied in histogram, residuals vs order of collection and residuals vs fitted values.

HIstogram

We can see from the histogram that the residuals are normally distributed, so the assumption that the errors are normally distributed is met.

residuals vs. the fitted values

We find a circular pattern where the errors are concentrated based on the residuals vs. the fitted values. indicating a breach of the assumption of equal variance (homoscedasticity). There is another nonlinear pattern that should be investigated.

Residuals vs. Order of collection

: Because the residuals are randomly distributed, the assumption of equal variance of the residuals is not violated.

Residuals vs. gestational length

A The gear concentration of the residuals in the shape of an oval indicate additional signals from the data that have not been modelled. As a result, the assumption of equal variance of the residuals is violated, and it may also indicate a nonlinear relationship between the dependent and independent variables. This problem can be solved by taking the log of the independent variable and normalising the data.

Parity vs. residuals

Because this is a binary variable, the plot provides no clear indication.

Residuals vs. mother's height

There is a clear oval pattern visible, indicating that the variable is violated.

Residuals vs. mother's weight

There is a clear oval pattern visible, indicating that the variable is violated.

Smoking vs. Residuals

Because this is a binary variable, the plot provides no clear indication.

Overall, this is the next step. We must examine the variables for multicollinearity. Because the residuals histogram is normally distributed, but the residuals vs fitted values has a violation.

We must determine whether the independent variables are correlated with one another. If they are correlated, we must discard the one that is least correlated with the target variable.

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The kind of line is used when the inequality symbol is ≥ or ≤ is solid line

If the original inequality is ≤ or ≥, the boundary line is drawn as a solid line, since the points on the line will make the original inequality true.

The kind of line is used when the inequality symbol is ≥ or ≤ is solid line

But in case of < or > symbol, the line used is dotted line.

A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.

Therefore, The kind of line is used when the inequality symbol is ≥ or ≤ is solid line

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The possible sources of inaccuracy that could have an impact on your results are -

While conducting a scientific experiment, numerous errors—either systematic or random—could happen.

Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.

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Disinfection of dental impressions should last b)15 minutes. So, correct option is b.

Disinfection of dental impressions is an essential routine that actually aims to protect the dental personnel, who handle impressions or casts, against exposure to diseases brought about by the contact with microorganisms such as the viruses; hepatitis B, hepatitis C, herpes, and HIV, and Mycobacterium tuberculosis (Hemalatha & Ganapathy, 2016).

Impression materials that have been exposed to the infected saliva and blood provides a significant source of such infectious agents. Dental checkups are increasing now a days very frequently.

Hence, option b is correct.

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(Complete question) is:

disinfection of dental impressions should last minutes. a)5 b)15 c)30 d)60

In order for the two-sample z statistic to be valid we need that the following assumptions hold samples must be random

data has to be continuous

each sample and population must be independent from each other

each population must be normally distributed

the population standard deviations must be known or the sample sizes must be ≥ 30

samples must be random

data has to be continuous

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Answer:

Multiple

Step-by-step explanation:

A multiple of 5 is anything that it can multiply into. For example: 5, 10, 15, 20, 25 and so on.

A factor is a number that divides into your number and leaves no remainder. An example of this is 2 is a factor of 4.  15 is not a factor of 5 because it cannot divide evenly. The only factors of 5 are 1 and 5.

For the given xy-plane where point C coordinates are (6,9) then equation of the line containing point O and C is given by y = ( 3/2)x.

As given in the question,

Given xy -plane,

Coordinates of the point C are (6, 9)

Coordinates of the point O are (0, 0)

Let ( x₁ , y₁) = ( 0, 0)

(x₂ , y₂) = (6, 9)

Equation of the line containing point O and C are :

( y - y₁)/(x - x₁ ) = ( y₂ - y₁)/(x₂ - x₁)

⇒ ( y -0)/(x - 0) = ( 9 - 0)/( 6 - 0)

⇒ y / x = 9 /6

⇒ y = (3/2)x

Therefore, for the given xy-plane where point C coordinates are (6,9) then equation of the line containing point O and C is given by y = ( 3/2)x.

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In the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.

The crack epidemic that ravaged New York City with in 1980s was beginning to fade by the early 1990s, and crime rates were also declining.

Thus, during the 1980s and 1990s, many urban area kids in New York turned to "Selling Drugs" as a means of supplemental income as a means of escape.

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The equation that best suits the sinusoidal function model in this situation is the option:
(C) y = -12cos(1/12x)+ 12.

What is the sinusoidal funtion?

A sine-based function is one that smoothly oscillates between high and low values on a periodic basis. This type of function is known as a sinusoidal function. The cosine function, which is merely a horizontal shift of the sine function, can also be used as the foundation for sinusoidal functions.

A sine wave, also known as a sinusoidal wave or simply a sinusoid, is a mathematical curve that can be described in terms of the sine trigonometric function, whose graph it is. It is a particular kind of smooth periodic function and continuous wave.

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The ladder is 26ft far up to the wall if the bottom of a 10-foot ladder is 2 ft closer to the wall.

A unit of length is any arbitrarily defined and agreed reference standard for measuring length.

The measurement or extent of something from end to end is defined as its length. In other words, it is the larger of two or the highest of three geometrical shapes or objects' dimensions. A rectangle, for example, has length and width dimensions.

Distance on the ground = 10 feet

Length of the  ladder (hypotenuse) = x      

Height on the wall =  x-2

According to the  Pythagorean theorem of a right angle,

a²+b²=c²

100  + (x-2)²  =x²

100 + x² -4x + 4 =  x²      

100 -4x + 4 = 0              

104 - 4x = 0                  

-4x = -104              

x = 26ft

The ladder is 26ft far up to the wall.

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3. Surface area of cone is 678.24 in²

  Volume of cone is 1017.4 in³

4. Surface area of Cuboid is  1534  sq meters

  Volume of Cuboid is 4080 cubic meters

5. Surface area of cylinder is 376.8 sq centimeters

  Volume of cylinder is 549.5 cubic centimeters

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

Cone radius r = 9 in

h height = 12 in

Slant height, l² =9²+12² = 81+144 => l=15 in

Volume = (1/3)πr²h   = (1/3)*3.14*9²*12 = 1017.4 in³

Surface area = πr² + πrl  

                      = 3.14*9²+3.14*9*15

                      =254.34 + 423.9 = 678.24 in²

Cuboid volume =17*16*15  = 4080 cubic meters

Surface area = 2 ( 17*16 + 16*15 + 15*17)  = 1534  sq meters

cylinder Volume = πr²h  = π(5)²  * 7 =   549.5 cubic centimeters

cylinder Surface area= 2πr(r + h )   = 2*3.14*5(5+7) = 376.8 sq centimeters

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The required height of given regular pentagonal prism is 19 millimeters.

We work out the volume of a pentagonal crystal utilizing the recipe is V = 5/2abh where this equation is additionally perceived as V = [1/2 × 5 × base length × apothem] × level of the crystal. The qualities are placed in the recipe and compose the response so got in cubic units.

We have,

Then

V = 5/2abh

2850 =( 5×12×h)×5/2

h = 19 millimeters

Thus, required height of the pentagonal prism is 19 millimeters.

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Answer:

19 millimeters

Step-by-step explanation:

i took the test and got right hope this helps :)

Mitochondria use proteins to break down sugars and produce cellular energy in the form of ATP.

For solving the inequalities, there are more than four steps.

The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to  Subtract the same number from both sides and the third step is to  Multiply both sides by the same positive number, and the fourth step is to  Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.

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Answer: 4 deliveries per hour

Step-by-step explanation:

16 divided by 4 = 4 deliveries

A closed circuit is required to carry current. If there is a break anywhere in the path, the circuit will open and no current will flow, and the metal atoms in the wire will quickly become peaceful and electrically neutral.

Current flows in a closed circuit, but electrons are left behind in an open circuit.

Imagine a gallon of water flowing through an open pipe. Water flows for a short time, but stops when all the water comes out of the pipe. If you pump water into a closed system of pipes, it will continue to flow as long as you force it to move.

Closed circuit design:

breaks are often created by design. For example, a simple light switch opens or closes the circuit that connects the light to the power source. When building a circuit, it is recommended that the battery or other power source be disconnected when the circuit is not in use. Technically, this creates an open circuit. The

extinguished flashlight is an open circuit. In the flashlight shown here, the flat black button on the bottom left controls the internal switch. A switch is nothing more than two flexible metal strips in close proximity to each other. Push the black button all the way to the right to open the switch and turn off the flashlight. The switch in the open position disconnects the bulb from the battery, creating an open circuit.So, for the light bulb in a circuit turn on when the switch is closed.

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The solution of equation is y = -15, x = 1 .The equation used to obtain the value of y and x is y = -15x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right   sides.

We have LHS = RHS (left hand side = right hand side) in every   mathematical equation. To determine the value of an unknown variable  that represents an unknown quantity, equations can be solved. A   statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

The given equation is: y= -5x3

or        y= -15x

or      y\x=-15

Divide with 1 both side

    y/x = -15/1

Then  y = -15 , x = 1

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Answer: (5,28)

Step-by-step explanation:

Answer:

Here it is :)

Step-by-step explanation:

if this is incorrect, correct me and explain why so you won’t make this mistake I made when you do this on you own!

The value of the car after 10 years is 4668.9 dollars

Depreciation is the reduction in the value of an asset or commodity over time and such valued reductions are reflected in the balance sheet at the year ended.

According to the given information:

Prize of the new car purchased P = 23700 dollars

the rate at which the value of a car depreciates R = 15% per year

Now, the value of the car after 10 years could be determined by the formula

Amount        =    P[tex](1-r)^{t}[/tex]

P = 23700 dollars        R = 15% per year           t = 10 years

Substituting all the values in the above formula:

Amount       =   [tex]23700(1-0.15)^{10}[/tex]

                    =    [tex]23700(0.85)^{10}[/tex]

                    =    23700×0.197

                    =     4668.9 dollars

The value of the car after 10 years is 4668.9 dollars

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The total number of cups of punch that peter makes is  13 1/6.

The sum of the values 4 1/3, 2 1/3, and 6 1/2 is required. To make adding easier, let's first turn them into improper fractions:

= 13/ 3 + 7/3 + 13/2

We can now simplify it because two of a fractions use the same denominator, resulting in the following:

= 30/3 + 13/2

Next, we must determine which of the two fractions has the lowest common denominator.

We may modify our denominator to 6 because that is the smallest number so both 2 and 3 can fit in:

= 23/3 x (2/2) + 13/2 x (3/3)

= 40/6 + 39/6

= 79/6

We should change this back into such a mixed number for our response:

= 79/6

= 13 1/6

Thus, the total number of cups of punch that Peter makes is  13 1/6.

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The correct question is-

Peter mixes 4 1/3 cups of orange juice, 2 1/3 cups of ginger ale, and 6 1/2 cups of strawberry lemonade to make some punch. What is the total number of cups of punch that Peter makes?

The time taken to get to work from home with a speed of 30mph will be 40 minutes, 40mph in 30 minutes, and 50mph in 24 minutes.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Average velocity can be given as;

Average velocity = total distance / total time taken

Units of velocity are given by ⇒ meter/second

As per the given,

Time = distance/speed

Distance = 20 miles

With a speed of 30 mph

Time = 20/30 = 2/3 hour or 40 minutes

With a speed of 40 mph

Time = 20/40 = 1/2 hour or 30 minutes

With a speed of 50 mph

Time = 20/50 = 2/5 hour or 24 minutes

Hence "The time taken to get to work from home with a speed of 30mph will be 40 minutes, 40mph in 30 minutes, and 50mph in 24 minutes".

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To figure how many paths there are from (0,0) to (50,50) on a Cartesian coordinate system is using the legal moves, move up and move right. The formula that can be used is ((x+y)¦x). Here the steps;

Each path from point (0,0) to (50,50) will contain 50 rightward steps (i.e. progressive along the x-axis) and 50 upward steps (progressive along y-axis), resulting in a total of 100 steps, therefore we have ((x+y)¦x)= ((50+50)¦50) = (100¦50) ways of creating such a path.

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The distance traveled in 3 seconds is 3/100 miles.

The term "Distance Traveled" describes how far an object has traveled during a specified amount of time to get to its destination. Or The path that a body takes to go a specific distance at a certain speed from one location to another is known as the distance traveled.

The distance can travel in 1 minute.

In order to find the distance traveled in 1 minute, first we need to find the distance traveled in 1 second.

In 3 seconds it can travel 3/100 miles. So, in 1 second it can travel

= 3/100 × 3

= 1/100 miles.

Now, we know that in 1 minute there are 60 seconds. So, in 1 minute it can travel

= 1/100 × 60

= 1/10 × 6

= 6/10

= 0.6 mile

Hence, it can travel 0.6 miles in a minute.

Complete question:

The average sneeze can travel 3/100 mile in 3 seconds. at this rate how far can it travel in 1 minute​

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The probability density function f(x) represents the probability at a given value of x.

In a distribution, the notation f(x) is the equivalent to the probability of event x, that is:

[tex]f(x) = P(X = x)[/tex]

The area under the curve is given by the cumulative distribution, which is given by:

[tex]P(X\leq x) = \int\limits^x_0f(x)dx[/tex]

Thus it is not f(x).

And f(x) can also be the height of the relative frequency function, but not of the function itself.

Hence the answer is the probability density function f(x) represents the probability at a given value of x.

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The slope of the given function of taxi fare mean  the rate of change of the cost of the taxi ride is $3.00 per minute..

In the situation y = mx + c the worth of m is known as the slant, (or angle), of the line. It very well may be positive, negative or zero. Lines with a positive inclination slant upwards, from left to right. Lines with a negative inclination slant downwards from left to right. Lines with a zero inclination are level.

C(x) = 3x + 2

On comparing with the general equation of line. we get

slope = 3  

slope = cost/time

Which says the rate of change of the cost of the taxi ride is $3.00 per minute.

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Step-by-step explanation:

x = the number

15x + x/2 = 62

30x + x = 124

31x = 124

x = 4

let's start by grouping the terms with the variable first, so that'd be

(x² - x) -3 = 0

(x² - x + []²) = 3

now, the middle term in a perfect square trinomial is simply the product of "2" and the root of the terms on the left and right sides, so whatever that product is, we know it must yield "x" because that's our middle term above skipping its sign, so hmmm let's check around

[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] ~\dotfill\\\\ (x^2 - x +\square^2)=3 \\\\\\ 2\sqrt{\square^2}\sqrt{x^2}~~ = ~~x\implies 2\square x=x\implies \square=\cfrac{x}{2x}\implies \square=\cfrac{1}{2}[/tex]

so that's our missing value, now ( 1/2 )² is 1/4, however, let's recall that, all we're doing is borrowing from our very good friend Mr. Zero, 0, so if we add 1/4 we also have to subtract 1/4

[tex]\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right)=3\implies \left(x^2-x+\cfrac{1}{4} \right)-\cfrac{1}{4}=3 \\\\\\ \left(x^2-x+\left( \cfrac{1}{2} \right)^2 \right)=3+\cfrac{1}{4}\implies \left(x-\cfrac{1}{2} \right)^2=\cfrac{13}{4}\implies x-\cfrac{1}{2}=\pm\sqrt{\cfrac{13}{4}} \\\\\\ x-\cfrac{1}{2}=\pm\cfrac{\sqrt{13}}{2}\implies x=\pm\cfrac{\sqrt{13}}{2}+\cfrac{1}{2}\implies \boxed{x=\pm\cfrac{\sqrt{13}+1}{2}}[/tex]

Answer:

Step-by-step explanation:

They are giving you the parts to plug into the quations that SOH CAH TOA helps  you recall

SOH =  Sin(∅) = Opp / Hyp

CAH = Cos(∅) Adj / Hyp

TOA = Tan(∅) = Opp  / Adj

if the above isn't enough help,  then look at which one of the formulas above has two parts of information given in the question and then, you need to find the last one.

I see that TOA has two parts of info, and then we only need to find Adj.  understand?

we will find X  this way.  Adj = X

use the formula and then plug in the knowns

Tan(35°) =  574 / Adj

Tan(35°) =  574 / X

X = 574 / Tan(35°)

understand how I got to that?

once you have X , use pythagoras to find Y

[tex]y^{2}[/tex] = [tex]x^{2}[/tex] + [tex]574^{2}[/tex]

got it?