Can someone please tell me how do we solve this? Thank you.

The measure of angle RSN is obtained as follows:

m < RSN = 31º.

First we must consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of triangle RST, along with their measures, are given as follows:

The sum of these three measures is of 180º, hence the value of x is obtained as follows:

3x + 17 + 8x - 32 + 2x = 180

13x = 195

x = 195/13

x = 15.

Then the measure of angle RST is given as follows:

m < RST = 3(15) + 17

m < RST = 62º.

Angle RSN is a bisection of the angle RST, meaning that it has the measure half that of RST, hence:

m < RSN = 0.5 m < RST

m < RSN = 0.5 x 62

m < RSN = 31º.

The diagram is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

ans = 2

Answer:

2

Step-by-step explanation:

exponential 1/4 = sq root twice

so √16 =4, √4=2

The equation that can be used to answer this question concerning speed would be = d=(0.6)(30). That is option C.

Constant speed is defined as the quantity that expresses the an object which travels the same distance in the same period of time.

The constant speed of the zebra = 0.6 miles per minute

Therefore, if 0.6 miles = 1 minute

d miles = 30 minutes

d miles = 30 × 0.6/1

d miles = 18 miles

Therefore the expression that can be used to answer this question would be = d=(0.6)(30).

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Answer: An isosceles trapezoid is a trapezoid with two sides of equal length, and those are called legs.

Using the given information that the shorter base is 21, the longer base is 47 and the legs are 50, we can use the Law of Cosines to find the angle between the legs and the longer base.

The Law of Cosines states that for any triangle with sides of length a, b, and c and the angle opposite side c is denoted as C:

c^2 = a^2 + b^2 - 2ab * cos(C)

We will use the legs (a = b = 50) and the longer base (c = 47) as our sides and call the angle we are looking for angle x:

50^2 = 50^2 + 47^2 - 2(50)(47) * cos(x)

Solving for cos(x) will give us the angle x in terms of a cosine. To get the angle x in degrees, we will use the inverse cosine function, which gives the angle in degrees whose cosine is the input value.

cos(x) = (50^2 + 47^2 - 50^2) / (2(50)(47)) = 47/100

x = acos(47/100)

x = approx 126.6

So, the lower base angle in this isosceles trapezoid is approximately 126.6 degrees.

Step-by-step explanation:

Answer:

The sample size needed to guarantee a margin of error of at most 0.08 in a 95 percent confidence interval for an unknown population proportion p can be found using the formula:

n = (p(1-p)) / E^2

Where n is the sample size, p is the sample proportion, E is the margin of error, and Z is the Z-score for the desired level of confidence. Since we are using a 95 percent confidence level, the Z-score is approximately 1.96.

To find the smallest sample size that will guarantee a margin of error of at most 0.08, we need to plug in the values for E and Z into the formula and solve for n.

n = (p(1-p)) / (0.08)^2

Since we don't know the population proportion p, we can use a rough estimate of 0.5 to get a rough estimate of the sample size. This is known as the conservative sample size, because it is based on the worst-case scenario (i.e. the proportion is exactly 0.5).

n = (0.5 * (1 - 0.5)) / (0.08)^2

n = (0.25) / (0.0064)

n = 3906.25

So, the smallest sample size that will guarantee a margin of error of at most 0.08 is 3906.25.

It should be rounded up to 3907.

Step-by-step explanation:

Answer:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-4,3) and (-8, -1) *Click twice to draw a line. Click a segment to erase it." 30 4 -10 - -6-5-43 -8 This problem has been solved!

Step-by-step explanation:

The required required value of angles are  31, 118, 31.

An Isosceles triangle is a triangle that has two equal sides. Also, the two angles opposite the two equal sides are equal. In other words, we can say that “An isosceles triangle is a triangle which has two congruent sides“.

We have,

∠Q = 8x-17, ∠R = 19x+4, ∠S = 5x+1

So,

∠Q + ∠R + ∠S = 180

= 8x-17 + 19x+4 + 5x+1

= 32x - 12 = 180

= 32x = 192

x = 6

Angles are;

∠Q = 8x-17 = 8(6)-17 = 31

∠R = 19x+4 = 19(6)+4 = 118

∠S = 5x+1 = 5(6)+1 = 31

Thus, required value of angles are  31, 118, 31.

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Answer:

Truth is being honest and not lie and get them upset.

Step-by-step explanation:

Answer: $134.40

Step-by-step explanation:

Using probability, Laila's expected winnings are $126.67.

The study of probability mathematics deals with the topic of a random event. A coin, for instance, could land on its Head or Tail if it were thrown into the air.

Finding the likelihood for each and every conceivable value, and then adding them all together, yields the expected value.

We must determine the likelihood and value of each conceivable outcome.

Laila chances of selecting three consecutive red markers are: (6/10)(5/9)(4/8) = 1/6

Laila's initial marker's likelihood of being red but not picking three straight red markers is 6/10 - 1/6 = 13/30.

Any other event has a probability of 1 - 1/6 - 13/30 = 2/5.

We can now write our expected value expression:

(1/6 × 500)+(13/30 × $100)+(2/5 × 0)

Laila's expected winnings are $126.67.

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On solving the provided question, we can say that we have the equations as  y = 3x - 7 where x > 0. so let us assume x = 4 = > y = 5

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

we have the equations as

y = 3x - 7 where x > 0

so let us assume x = 4

y = 5

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Answer: (−∞,8)∪(8,∞),{y|y≠8}

Step-by-step explanation:

Answer: The range of a function is the set of all possible output values (y-values) for a given function.

For the function y = 3/x+8, we can find the range by analyzing the domain of the function. The domain of a function is the set of all input values (x-values) for which the function produces a valid output value.

The range of this function is all real numbers, since the denominator x+8 can't be equal to zero.

However, we can't express the range of the function as a specific set of numbers because the range is defined as all real numbers. The answer would be R

It's worth noting that if we change the function for example to y = 3/x-8, the domain would be x≠8 and the range would be y<-8/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, to compare fractions, we need them to have the same denominators because for example, 4/1 = 4 and 4/2 = 2 is totally different.

(in that case, we could have looked at the denominators, and the fraction with the smallest denominator would be the greater one since the numerators are the same, but it was just an example)

To do that, we look at them : we see -3/5 and -2/3

3 is not a multiple of 5, neither 5 is a multiple of 3, so we use 3*5 =15

(if it was 3 and 6, we could have used 6/2 = 3 or 3*2 = 6)

Next move, we put the fractions on 15 : [tex]\frac{-2}{3} =\frac{-2*5}{3*5} =\frac{-10}{15}[/tex] and [tex]\frac{-3}{5} =\frac{-3*3}{5*3} =\frac{-9}{15}[/tex]

Now, we look at the numerators : -10 < -9

(don't forget they're negative numbers )

And to conclude :

[tex]\frac{-10}{15} < \frac{-9}{15\\}\\\frac{-2}{3} < \frac{-3}{5}[/tex]  hope it helps :)

The value of x in the given linear equation 4x - 3 - 5x = 24 is:

x = 27

Here we want to find the value of x in the equation:

4x - 3 - 5x = 24

Notice that this is a linear equation that depends on x.

To find the solution, we need to isolate x in one of the sides of the linear equation.

First, we need to group like terms so we get:

4x - 3 - 5x = 24

(4x - 5x) - 3 = 24

-x - 3  = 24

Now we can move the "-3" to the other side to get:

-x = 24 + 3

-x = 27

And now change the sign:

x = -27

That is the value of x in that equation.

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Answer:

<PQS = 47

<SQR = 43

Step-by-step explanation:

A right angle equals 90°.

7x + 145 + 6x + 127 = 90  Combine like terms

13x + 272 = 90  Subtract 272 from both sides

13x = 90 - 272

13x = -182  Divide both sides by 13

x = -14

Substitute -14 for x

<PQS

7x + 145

7(-14) + 145

-98 + 145

47

<SQR

6x + 127

6(-14) + 127

43

43 + 47 = 90

Answer:

A. Circle Graph, also known as a pie chart, is the most appropriate to illustrate the results of Justina's survey.

Step-by-step explanation:

A circle graph, also known as a pie chart, is the most appropriate to illustrate the results of Justina's survey.

A circle graph is used to display the proportion of different categories of data. In the case of Justina's survey, the categories would be the different sports that the students play, and the proportion of students who play each sport would be represented by the size of the corresponding wedge in the circle graph. The circle graph allows for a clear and easy-to-understand comparison of the relative popularity of different sports among the surveyed students.

A Venn diagram is used to show the relationships between different sets of data. It's not appropriate in this case as the students are not being asked to pick two or more sports they play, but the number of sports they play.

A stem-and-leaf plot is used to display the distribution of numerical data, it's not appropriate for this case because it does not show the proportion of students playing each sport.

A double line graph is used to compare two sets of data over time. It's not appropriate for this case because it doesn't show the proportion of students playing each sport.

The y-intercept of the expression y=x^2-6x+8 is y(0,8).

What are intercepts?

The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.

The given expression is -

y = x²-6x+8

To find the y-intercept, substitute the value of x with 0.

y = x²-6x+8

y = (0)²-6(0)+8

y = 8

Therefore, the y-intercept is (0,8).

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This unit has provided me with a greater understanding of the different aspects of communication.

A unit is a standard measurement of a particular quantity. It is used to quantify or compare the amount or size of something. For example, the international system of units (SI) is a standard system of units that uses meters, kilograms, and seconds as its base units of measurement. Other examples of units include miles, pounds, inches, and Celsius.

It has enabled me to recognize the importance of active listening, being mindful of non-verbal cues and tailoring messages to the audience. I have gained insight into the various methods of communication, both verbal and non-verbal, and how to effectively use them for successful communication. I have also learned about the importance of setting clear expectations and maintaining a positive attitude to help ensure successful interactions.

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Answer:ok

Step-by-step explanation:kk

Answer:

By the slope intercept equation y=mx+ c in which m is the slope.

Change the given equation into slope intercept form, y=-x+7. The coefficient of x will be the slope value which is -1.

Answer:

Horizontal translation 3 units left

Vertical translation 2 units down

Step-by-step explanation:

Inside the parent function is horizontal.

Outside the parent function is vertical.

Answer: 1/16

Step-by-step explanation:

4^4*4^(-7)*4

= 4^(-3)*4

=4^(-2)

= 1/16

a) The sum will be around 100, give or take 10 or so. - True

b) There is about a 68% chance that the sum will be in the range of 90 to 110. - True

a) True. The expected value of a single draw is (0.990)+(0.011)=0.01, and the expected value of 10,000 draws is 0.0110,000=100. The standard deviation of a single draw is the square root of (0.990^2)+(0.011^2)=0.01. So, the standard deviation of 10,000 draws is sqrt(10,0000.01)=10. This means that the sum of 10,000 draws will be around 100, give or take 10 or so.

b) True. The sum of 10,000 draws follows a normal distribution with a mean of 100 and a standard deviation of 10. Using the 68-95-99.7 rule, 68% of the data falls within one standard deviation of the mean. So, the chance that the sum will be in the range of 90 to 110 is 68%.

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The closing balance of the accumulated depreciation account, obtained from the values in the table is; $3,000

Depreciation is the cost of an asset during the indicated useful life of the asset

The closing balance of the accumulated depreciation account can be found as follows;

The accumulated depreciation is the sum of the depreciation charged on an asset up to the current date.

The formula for calculating the accumulated depreciation can be presented as follows;

Accumulated depreciation = [tex]\frac{(Cost \ of\ asset - Salvage\ Value)}{Life\ of\ Asset}[/tex] × Indicated Period

The indicated period is the number of years of use for the asset

The specified table is the accumulated depreciation account which is a contra asset (that reduces the value of the asset) account, therefore, the amounts stated indicates the depreciation during a specified period

The balance b/f on January 1, 2012, (beginning of the year) is the depreciation balance brought forward, which in the table is $1,000

The depreciation on Dec 31, 2012, (the end of the year) which is the depreciation during the year is; $2000

The accumulated depreciation is therefore; $1,000 + $2,000 = $3,000

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The value of expression after subtraction is, 2,226.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The expression is,

⇒ three hundred fifty - two thousand five hundred seventy-six

Now, We can write the expression as;

⇒ three hundred fifty - two thousand five hundred seventy-six

⇒ 350 - 2,576

After subtraction we get;

⇒ - 2,226

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Using the scale, 1 inch is equal to 35 miles, the distance between Danton and Crowley is  19.2 inches.

According to the map given , considering that the distance in miles between Danton and Crowley is 672 miles, to find the distance in inches we use the scale given by the map where 1 in.:35 mi.

To solve for distance in inches;

35 miles = 1 inch

672 miles = 672 / 35 x 1 = 19 .2 inches.

The distance between Danton and Crowley at 1 in = 35 mi is 19. 2 inches meaning it will take Danton 19. 2 inches of a ride or walk to get to Crowley.

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Answer:

95

Step-by-step explanation:

Aaliyah need to read for 8.75 hours with reading speed of 40 pages/hour in order to fulfill her promise of reading 50 more pages than Yohance.

What is reading speed?

Reading speed is the rate at which a person reads written text (printed or electronic) in a specific unit of time. Reading speed is generally calculated by the number of words read per minute.

Reading speed is determined by a number of factors, including a reader's purpose and level of expertise as well as the relative difficulty of the text.

Now,

Reading speed of both=40 pages/hour

yohance reads for 7.5 hours and reads total pages=40*7.5=300

Now, to read 350 pages Aaliyah will read for time=350/40=8.75 hours

Aaliyah need to read for =8.75 hours in order to fulfill her promise of reading 50 more pages than Yohance.

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The interest rate on 7,000 for 10 years with a simple interest of 3500 is 5.

Simple interest is the amount paid on a principal amount of money that is borrowed or loaned to someone. It is calculated using the formula: SI = (P × R × T) / 100. Interest Rate (R) is a percent of the principal earned or paid.

From the question;

P = 7,000

T = 10

SI = 3500

we shall evaluate for the rate R as follows:

3500 = (7,000 × R × 10)/ 100

3500 = 70R

divide through by 70

3500/70 = 70R/70

R = 35/7

R = 5

Therefore, the rate for the amount 7,000 that will give a simple interest of 3500 for 10 years is 5

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