Using the following image find QR given RS =6 and QS=7

Answer: The sum of the exterior angles of a 54-gon should be 360°.

Step-by-step explanation:

A polygon is a closed figure made up of straight lines like triangle (3-gon) , quadrilateral (4-gon) , square(4-gon), pentagon (5-gon) , octagon(8-gon) etc.

The sum of exterior angles of any polygon with n sides ( or n-gon ) is always 360 degrees.

A 54-gon is a polygon with 54 sides.

Therefore , the sum of the exterior angles of a 54-gon should be 360°.

Answer:

M

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

J. 20

Step-by-step explanation:

Answer:

2(x+12)+x=36

or,2x+24+x=36

or,3x+24=36

or,3x=36-24

or,3x=12

or,x=12/3

or,x=4

Answer:

..

Step-by-step explanation:

Answer:

0.8, or 80%

Step-by-step explanation:

You can multiply the numerator and denominator by 20 and get \(80/100\). This equals to 0.8, which is also 80%

The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

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The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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Answer:

The dispersion among sample means is less than the dispersion among the sampled items themselves because:______

b. Very large values are averaged down

Step-by-step explanation:

The sample means represent average values obtained from both large and moderate values.  Through the process of averaging, the data values obtained as the sample means are much closer to the true values.  This is why the dispersions among the sampled items will be larger than the dispersions among the sample means.  Sample dispersions describe how spread out the data values are on the number line.

Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.

Answer:

Step-by-step explanation:

\((15 + 15) + (21 + 21) + - 5 \\ 30 + 42 - 5 \\ 67\)

I hope that is useful for you :)

Answer:

75.2

Step-by-step explanation:

Answer:

75.2 is the answer

Step-by-step explanation:

the answer is 75.2

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

1) Considering that the initial amount of Carbon 14 is 40% (0.4) and each year "t" is given in whole numbers. And we were told the amount of k we can insert into the equation:

Note that the initial value is 1 and the last one is 0.6 (40% less).

Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

Answer:

y-intersept is the design fee

Answer:

x=-27

Step-by-step explanation:

2x-2=-52

2x=-54

×=-27

have a good day

Answer:

x = - 27 is the correct answer

Step-by-step explanation:

2x + 2 = -52

or, 2x = -52 -2

or, 2x = -54

or, x = -54 ÷ 2

therefore, x = -27

hope this answer will help u

The simplified expression of (4⁴)⁻¹  is one over four raised to the fourth power

The expression can be simplified as follows:

(4⁴)⁻¹

Therefore, the expression can be simplified using laws of indices.

\((a^{c} )^{b} = a^{cb}\)

and

\((a^{-b} )^{c} = \frac{1}{a^{bc} }\)

Therefore, using the laws of indices, the expression can be simplified below:

(4⁴)⁻¹  = 4⁻⁴

Hence,

4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴

Hence,

(4⁴)⁻¹  = 1 / 4⁴ = (1 / 4)⁴

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Answer:

300 glass beads

Step-by-step explanation:

There are 30 beads in each box so you multiply 30 by 10.

\(10*30=300\)

Slope: 1.5

Work: I used the slope formula method which is y2 - y1/ x2 - x1. After plugging it in, the new equation is 4 - (-2) / 10 - 6. After subtraction, I had gotten 6/4. And when you divide 6/4, you get 1.5

I hope this helps. :)

im still in 7th grade but..

Answer:

2 1/2

Step-by-step explanation:

im going to choose (10,4) as x2,y2 and (6,-2) as x1,y1

so the fraction will look like this: \(\frac{4+6}{10-6}\)

now we have to slove it, 4+6 = 10

and 10-6 = 4

we have the fraction 10/4

now simplify: 2 1/2

hopefully i got this correct

Adrian must multiply his money by 1.03 to find his total balance in a year in one step.

Given that Adrian invests money in an account paying a simple interest of 3% per year, to determine, if no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step, the following calculation must be performed:

Therefore, Adrian must multiply his money by 1.03 to find his total balance in a year in one step.

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The result is roughly 4, as we may round 65 to the closest choice and get 64, which matches to response choice C.

The degree to which the data points in a data distribution or data collection deviate from the average value and from one another is virtually by definition the measure of variability.

We must first determine the average price of used automobiles sold at every dealership in order to determine the variance between the means in order to address this problem. After that, we can calculate the number of times the variation can be found in the difference by dividing the disparity between the averages by the variability.

By locating the middle of the price range displayed on the dot plots, we can calculate the mean cost of used cars sold for each dealership. The price range for dealership A is roughly $15,000 to $20,000, with $17,500 serving as the midpoint. The range for dealership B is roughly $16,000 to $21,000, with $18,500 serving as the midpoint.

The difference between the means is therefore $18,500 - $17,500 = $1,000.

When the difference is divided by the variability, the result is:

$1,000 ÷ ($1,538/100) = 100,000 ÷ 1,538 = 64.93

The variability is therefore nearly 65 times larger than the disparity between the means.

We must round our response to the closest choice since neither of the possible answers is close to 65. The result is roughly 4, as we may round 65 to the closest choice and get 64, which matches to response choice C.

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Answer:

\(\sqrt[3]{192} x^{\frac{3}{5} }y^{\frac{3}{8} }\)

Step-by-step explanation:

You have to simplify all of the terms individually

\(\sqrt[3]{192} = 5.769\)

Since that isn't a whole number, it doesn't simplify

Use the root to exponent rule for the variables

\(\sqrt[3]{x^{5} } =x^{\frac{3}{5} }\)

\(\sqrt[3]{y^{8} } =y^{\frac{3}{8} }\)

Then put them all together to get

\(\sqrt[3]{192} x^{\frac{3}{5} }y^{\frac{3}{8} }\)

Make sure the variables aren't under the root when you give your answer

I hope this helps!

pls mark brainliest

5. 1.75 is one typical kind of algebra word problems is the distance issue

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Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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Answer:

(- 3, - 2)

Step-by-step explanation:

Answer:

y=2x-6

Step-by-step explanation:

The y-intercept is -6 since it's on the y axis. Also the slope(m) is 2.