Quadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Round your answer to the nearest tenth if necessary.

cos(pi) and cos(-pi) are both equal to -1 because cos is an even function.

For an even function, f(x) = f(-x). Even functions are symmetric about the y-axis.

Symmetricity about y-axis means that for same magnitude of x (like -2 and 2 have the same magnitude that is 2) the value of y will be the same.

Hence, in the case of cos(x), if we give any value as x and then give -x we will get the same result like cos(0.5pi) = cos(-0.5pi)

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Compared with randomly paired people, friends are more likely to share the same attitudes and beliefs. this best illustrates the association between similarity and attraction.

What is social Psychology ?

Social psychology is the scientific study of how individuals's thoughts, feelings, and behaviors are affected by the actual or hypothetical presence of other people.

               Social psychology is the study of how individual or group behavior is influenced by the presence and behavior of others.

What is social psychology's primary area of study?

Social psychologists research the ways in which social impact, social perception, and social interaction affect both individual and group behavior.

                   Some social psychologists concentrate their efforts on studying how people behave.

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The equation of the line is y = 1/5(x + 37). The standard equation of a instantly line is y = mx + c, in which m is the gradient, and y = c is the cost in which the road cuts the y-axis.

This range c is known as the intercept at the y-axis. The equation of a instantly line with gradient m and intercept c at the y-axis is y = mx + c. The equation of a instantly line is y=mx+c y = m x + c m is the gradient and c is the peak at which the road crosses the y -axis, additionally referred to as the y -intercept.

Since equation have new line which is parallel  y = 1/5(x + 4), and 1/5 is most the gradient for the line y = 1/5(x + 4), this is the new line is 1/5.

Using the equation we can form a line in slope-point form,

[tex]\frac{y-y_{1} }{x-x_{1} } = m[/tex]

where (x₁, y₁) = (3, 8) and m = 1/5

Substituting the values for all variables into the equation, we have

[tex]\frac{y-y_{1} }{x-x_{1} } = m\\\frac{y-8 }{x-3 } = m\\[/tex]

Cross-multiplying. we have

5(y - 8) = x - 3

Expanding the bracket, we have

5y - 40 = x - 3

5y = x - 3 + 40

5y = x + 37

y = 1/5(x + 37)

So, the equation of the line is y = 1/5(x + 37)

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Answer: 1 solution

Step-by-step explanation:

-8(-8x-6)= -2x+7

64x + 48 = -2x +7

66x =  -41

x = -41/66

The sales tax rate for a specific type of wood-frame door priced at $1480 is 25%, or $370.

Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a relative value that represents one hundredth of a quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given quantity. A percentage is a fraction of a whole expressed as a number between 0 and 100.

Here,

Sale tax=$370

Price of door=$1480

Sales tax percent=370/1480*100

=25%

The rate of sales tax for a particular type of wood-frame door is priced at $1480 is 25% that is $370.

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Answer:

3 x - y = 6

Step-by-step explanation:

the equation of a line is

ax + by = c

express the slope initially in the form of y=mx+b

b is the y- intercept (the point where it crosses the y axis)

m is basically the slope, to find m, you have to use a specific formula...

m = (y2 – y1) / (x2 – x1)

(x1, y1) (x2, y2) are 2 coordinate points...

(3,3) and (1, -3)

m = -3 -3 divided by 1 - 3 =  -6/-2 =  3

so your formula for now is .. y = 3x + b (you dont know what b is yet)

Now, substitute the points into the equation.

3 = 9 + b.  b = -6

final formula is,

Y=3x -6

u can also rearrange the formula in a standard form:

3x - y = 6

I REALLY HOPE THIS HELPS U!!

The data does contradict with the prior evidence

To determine whether the data presented here are significantly inconsistent with previous assumptions, a statistical test was performed to verify that the observed relationship between tendon length and cranial volume was significantly greater than the expected relationship. You have to decide if they are different.

To do this, fit a line to the data using linear regression analysis and test the hypothesis that the slope of the line is equal to 20 cm3/mm. If the p-value for this hypothesis test is less than 0.05, you can conclude that the data are inconsistent with previous assumptions at the 0.05 significance level.

It is crucial to realize that this analysis assumes that the relationship between tendon length and cranial volume is linear.

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Answer:

Reflection across the X axis, translate to the right by 7 points

Step-by-step explanation:

A reflection would move ABC to quadrant 3, and the translation of +7 would put point C where point S is.

Answer:

March 4

Step-by-step explanation:

The fifth Thursday must happen 4 weeks after the first one. That means that the 5th Thursday is 28 days after the first one.

Feb 1 + 28 days = Feb 29

Feb 1, Thursday

Feb 8, Thursday

Feb 15, Thursday

Feb 22, Thursday

Feb 29, Thursday

Mar 1, Friday

Mar 2, Saturday

Mar 3, Sunday

Mar 4, Monday

Answer: March 4

The value of c in the equation 5c = 13.5 - 16.5 - 10c is 0.6.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign

In this case, 5c + 16.5 = 13.5 + 10c

Collect the like terms

5c - 10c = 13.5 - 16.5

- 5c = -3.0

Divide

c = -3.0 / -5

c = 0.6

The value of c is 0.6.

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Fitness related to endurance and fitness related to skill are the two basic types of physical fitness. Running is most likely the simplest solo sport for fostering both physical and mental fitness.

Jogging, riding, swimming, and brisk walking are among examples. Exercises that build muscle strength are known as resistance training. Using a resistance band and lifting weights are two examples. Walking on uneven ground can be made simpler with balance exercises, which can also assist prevent falls.

Fitness related to endurance and fitness related to skill are the two basic types of physical fitness. Running is most likely the simplest solo sport for fostering both physical and mental fitness.

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Answer:

Use a model to find the sum of two fractions with the same denominator

Add fractions with a common denominator without a model

Add fractions with a common denominator that contain a variable

Step-by-step explanation:

j

The lengths of AC and AD using the concept of similar triangles are; AC =  12.5 and AD = 3

We are given that;

∆BDE is a similar triangle to ∆BAC.

This means that their sides are proportional. Thus, we can say that;

BD/BA = BE/BC

Thus;

2/BA = 4/(6 + 4)

BA = 2 × 10/4

BA = 5

Similarly;

BE/BC = DE/AC

4/10 = 5/AC

AC = 5 × 10/4

AC = 25/2

Finally,

AC = 25/2 = 12.5.

Thus;

AD = BA - BD = 5 - 2 = 3.

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The measure of the supplementary angle for one of the base angles is 95°.

The supplementary angles are the angles whose sum is given as 180°. The sum of all angles on one side of straight line is also 180°

The measures of angles are given as  (4x + 5)°, (4x + 5)°and  10⁰ respectively.

Since, the sum of the angles of a triangle is 180⁰. The following equation can be written as,

(4x + 5)° + (4x + 5)° + 10⁰ = 180⁰

⇒ 8x = 160°

⇒ x = 20°

Thus, the angles can be written as 4 × 20 + 5 = 85° and 10° respectively.

Now, the measure of the exterior angle can be written as below,

⇒ 180° - 85° = 95°.

Hence, the measure of the exterior angle is given as 95°.

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Answer:

x=2

Step-by-step explanation:

7÷x=22÷6

cross multiply

7×6=21×x

21x=42

21x/21=42/21

x=2

Answer:

$60.00

Step-by-step explanation:

1/4(40) = 10

40 - 10 = 30

30+ 2 = 32

32 - 8 - 8 = 16

16 - 6 = 10

10 + 50 = 60

The change in Ms Smith's saving account balance each month due to her car payments is of:

-$267.75.

A proportion is a fraction of a total amount, and this fraction is used along with the basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.

In this problem, the monthly balance change is obtained as follows:

Monthly balance change = Yearly balance change / 12.

(as an year is composed by 12 months).

As stated in the text, the yearly balance change of Ms. Smith's account is given as follows:

-$3,213.

The payments are equal each month, hence the monthly change is of:

Monthly balance change = -3213/12 = -$267.75.

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The statements that are true for functions g(x) = x² and h(x) = -x² are given as follows:

The functions for this problem are defined as follows:

The function h(x) is given by the multiplication of the function g(x) by -1, meaning that it is the reflection over the x-axis of the function g(x).

The two quadratic functions share the same vertex at the origin, meaning that it cannot be affirmed that one function will always be greater than the other for all values of x.

However, considering that the x² function is non-negative in all it's domain, the reflected function -x² will be non-positive at all it's domain, they are equal only at the origin, which is the vertex, all for all remaining non-zero values, g(x) is greater than h(x).

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It is proportional because all y over x ratios are equivalent to one-third. I.e., the proportionality constant of the given table is k = 1/3.

The proportionality relationship between two variables is determined by its proportionality constant. The proportionality constant is the ratio of y over x.

I.e., k = y1/x1 = y2/x2 = y3/x3 = ... = yn/xn

The given data table is as follows:

x - 18.6, 54.3, 58.8

y - 6.2, 18.1, 19.6

So, the proportionality constant is calculated as

y1/x1 = 6.2/18.6 = 1/3

y2/x2 = 18.1/54.3 = 1/3

y3/x3 = 19.6/58.8 = 1/3

Since all three ratios are the same, then the data in the table are proportional to each other.

Therefore, option A is correct.

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The probability that the mean weight of the sample is less than 6.15 ounces as per the given data is 0.1806.

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.13 ounce

Sample size, n = 38

We are informed that the weight of the cans is distributed in a bell-shaped manner, which is a normal distribution.

Formula:

Z-score = ( x - ц) /standard deviation

Standard error due to sampling

=SD/√n

=0.13/ √(38)

=0.021

P(weight of the sample is less than 6.15 ounces)

P(X < 6.15) =P( Z< (6.15 - 6.16)/0.021 )

= P(Z> -0.476)

=0.1806 ( as per the Z- score table)

The probability that the sample's mean weight is less than 6.15 ounces is 0.1806.

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Answer:

The answer is 85

Step-by-step explanation:

c/100 = 51/60

(c) × (60) = (51) × (100)

60c = 5100

60c/60 = 5100/60

c = 85

Thus, The value of y is 85

Answer:

[tex] \sf \: c = 85[/tex]

Step-by-step explanation:

Given equation,

[tex] \sf \rightarrow \: \frac{c}{100} = \frac{51}{60} [/tex]

Now the value of c will be,

[tex] \sf \rightarrow \: \frac{c}{100} = \frac{51}{60} [/tex]

[tex] \sf \rightarrow \: c = ( \frac{51}{60} ) \times 100[/tex]

[tex] \sf \rightarrow \: c = \frac{(51 \times 100)}{60} [/tex]

[tex] \sf \rightarrow \: c = \frac{5100}{60} [/tex]

[tex] \sf \rightarrow \boxed{ \sf c = 85}[/tex]

Hence, the value of c is 85.

15 nm converted into km gives 1·5 × [tex]10^{-11}[/tex] km.

A process involving numerous stages, multiplication or division, especially a conversion factor, can be referred to as Unit Conversion. Additionally, rounding and determining the number of significant digits may be necessary steps in the procedure.

For measuring various properties, including length, weight, capacity, and temperature, many units of conversion are employed. We can change the units of measurement in mathematics to better understand.

Unit conversions are used to represent an amount in a different unit.

We have to convert 15 nm into km.

1 nm = [tex]10^{-12}[/tex] km

15 nm = 15 × [tex]10^{-12}[/tex] km

          = 1·5 × [tex]10^{-11}[/tex] km

Thus, 15 nm converted into km gives 1·5 × [tex]10^{-11}[/tex] km.

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The vertex form of the equation is in the form of y = a(x-h)^2 + k.

Step 1: Use the formula below to solve for a.

a = -1/4 * (4 - 12) = -1

Step 2: Use the formula below to solve for h.

h = -b/(2a) = 12/(2(-1)) = -6

Step 3: Use the formula below to solve for k.

k = f(h) = -(-6)^2 + 12(-6) - 4 = 36

Therefore, the vertex form of the equation is y = -(x+6)^2 + 36.

A vertex, or particular point, is a place where two or more lines or edges meet in a mathematical object. Angles, polygons, polyhedra, and graphs are where vertices are most frequently seen. Nodes and vertices in a graph are the same thing.

Recall that a parabola's General Form is y = ax2 + bx + c. The x-coordinate of the vertices, which is x = - b/2a, must first be discovered in order to find the vertex from this form. You will use this number to replace x in the parabola equation once you have determined the x-coordinate of the vertex.

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162.6

+ 4.4

Separate decimals

162 + 4         =  166

0.6 + 0.4       =      1

166 + 1 = 167

162.6

Nearest ten is 160

Hope this helps

In step 1, y was made the subject of the second equation to get:

y=5x-4

To proceed, the next step is to substitute the expression into the other equation, not the equation we solved for y.

8x+2y=-12

8x+2(5x-4)=-12

8x+10x-8=-12

18x=-12+8

18x=-4

x=-[tex]\frac{4}{18}[/tex]

x=[tex]\frac-{2}{9}[/tex]

answer=  the value of x is -2/9

Well said. I 100% know what this is.

Using the square formula, the value of (1+i)^4 is -4.

The square formula is the algebraic identity which is used to find the square or difference of the sum of two terms. The square of sum of the two terms and can be calculated by multiplying the binomial by itself. The general form of square formula to find the square of the sum of two terms is given by: (a + b)^2 = a^2 + 2ab + b^2 where a and b are variables.

The given expression can be rewritten as binomial with exponent:

((1 + i)^2)^2

Using the square formula to find the square of the sum of two terms to the (1 + i)^2. Hence,

(1 + i)^2 = 1 + 2i + i^2

As 'i' iota is the square root of negative 1, i^2 = -1

1 + 2i -1 = 2i

Therefore,

(2i)^2 = 4i^2 = 4*-1 = -4

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Domain is the set of values under which a function is defined.

Range is the outcome of all the values of the domain when put in a function.

graphically, the domain is the set of values under which we get some value in the y-axis for a particular function graph .

while the range is the y-coordinate of all the points lying on the graph .

As the graph is not posted by you.

see this graph of the modulus function for instance:

        so,  R is the domain.

        but the range is only positive values of R in y.

        and,

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The endpoint of each piecewise-defined function is obtained.

The stated function is-

-x + 3 ; x < 2

     3 ; 2 ≤ x < 4

4 - 2x ;   x ≥ 4

For greater clarity, see the graph that is attached.

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The complete question is-

Explain how to graph the given piecewise-defined function. Be sure to specify the type of endpoint each piece of the function will have and why. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative x + 3, 2nd column x less-than 2 2nd row 1st column 3, 2nd column 2 less-than-or-equal-to x less-than 4 3rd Row 1st column 4 minus 2 x, 2nd column x greater-than-or-equal-to 4 EndLayout