Collaborate
CSP Use Math Tools Work with a partner. If the measure of 21 in
the figure at the right is 40°, determine the measure of each given
angle without using a protractor. Then check your answers by
measuring with a protractor.
1. 22
3. 24
5. 26
7. 28
2. 23
4. 25
BeacO0CCO
6. 27
>

Answer:

C=115+29m

Step-by-step explanation:

C=115+29(24)

C=£811

so the first option

Distance between the pair of points A(5,1) and C(-3 ,-3) is equal to

8.9 units (nearest tenth).

As given in the question,

Given points are  A (5, 1) and C( -3,-3)

Distance between the pairs of points = [tex]\sqrt{(y_{2}-y_{1})^{2} + (x_{2}-x_{1})^{2} }[/tex]

                                                          =[tex]\sqrt{(-3-1)^{2} + (-3-5)^{2} }[/tex]

                                                          = [tex]\sqrt{16 + 64}[/tex]

                                                          = [tex]\sqrt{80}[/tex]

                                                          = 8.9 units (nearest tenth)

Therefore, distance between the pair of points A(5,1) and C(-3 ,-3) is equal to 8.9 units (nearest tenth).

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Answer:

10

Step-by-step explanation:

there’s 360 degrees in a full circular area, so dividing it by 36 sides equals 10 degrees each.

Answer:

(2, 7 )

Step-by-step explanation:

y = 3x + 1 → (1)

5x = y + 3 → (2)

substitute y = 3x + 1 into (2)

5x = 3x + 1 + 3

5x = 3x + 4 ( subtract 3x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1)

y = 3(2) + 1 = 6 + 1 = 7

solution is (2, 7 )

The Least Common Multiple (LCM) of A and B is 11,741,730 and the Highest Common Factor (HCF) of A and B is 10

The least common multiple is also known as LCM (or) the lowest common multiple in math. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

The highest common factor of two or more numbers is the highest number among all the common factors of the given numbers. It is also known as HCF.

So, Given numbers LCM of A and B can be calculated by

Listing all prime factors for each number.

Prime Factorization of A is:

2 x 3 x 5 x 11 x 13

Prime Factorization of B is:

2 x 5 x 7 x 17 x 23

The new superset list is

2, 3, 5, 7, 11, 13, 17, 23

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 5 x 7 x 11 x 13 x 17 x 23 = 11741730

Now, Given numbers HCF of A and B can be calculated by

The factors of A are: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290

The factors of B are: 1, 2, 5, 7, 10, 14, 17, 23, 34, 35, 46, 70, 85, 115, 119, 161, 170, 230, 238, 322, 391, 595, 782, 805, 1190, 1610, 1955, 2737, 3910, 5474, 13685, 27370

Then the greatest common factor is 10.

Therefore, LCM of A and B is 11741730 and HCF of A and B is 10.

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If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.

Number of cards in each of the boxes

First box =17 cards

Second one box=21 cards

Third one box =22 cards

Fourth one  box=16 cards

Now let find the best  best estimation for the total number of baseball cards:

Total number of baseball cards=17+21+22+16

Total number of baseball cards=20+20+20+20 (rounded to the nearest tens)

Total number of baseball cards=80 cards

Therefore If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.

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The answer to the given problem is 5

Probability is the degree to which an occurrence is likely to take place, as determined by the proportion of favorable examples to the total number of instances for which it is probable to have occurred.

Let's assume

1 - P(no one has the same sign) >= 0.5

P(two or more people have the same sign) = 1 - P(no one has the same sign)

= 1 - (12 / (12-n)) / 12^n

1-0.5=0.5 >= P (no one has the same sign) = 12/(12^n x (12-n))

0.5 >= 12 /(12^n x (12-n))

Solve for n.

n = 5

Hence the answer is 5

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Answer:

−87.5

Step-by-step explanation:

3×5−4×7×5+2×4×5−5÷2=-87.5

The method that would best describe the study above is D. observational study

In observational studies, the impact of a risk factor, diagnostic test, treatment, or other intervention is observed without an attempt to alter who is or is not exposed to it. There are two categories of observational studies: cohort studies and case control studies.

Observational studies, often known as epidemiological studies, are those in which the researcher does not influence the study subjects but rather observes the associations that naturally exist between causes and outcomes. This was illustrated in the case regarding the students.

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Answer: Celeste lives 20 miles from her workplace.

Step-by-step explanation:

Answer:

Step-by-step explanation:

if it takes 12 miles to get there in the morning +

8 miles at the end

she lives 20 miles from her workplace.

Answer:

Step-by-step explanation:

Lets look at the expressions with respect to the competition parameters: Expressions:You Y =3m+13Friend(F)=4m+6 1.  The competition begins AFTER you and friend already caught some flies.  This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend). So the number of flies caught BEFORE THE COMPETITION would be   13+6=19 flies total  2.  The competition length was "m" minutes long when flies are caught and counted.  This would be represented by the VARIABLE terms in each expression (in this case, 3m for you, 4m for friend).  We are not given a numeric value for the variable "m" to evaluate. So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be 3m+4m=7m flies total ...and the number of flies per minute would be calculated as 7m÷m=7 flies per min....total #flies divided by total minutes 3.  If the problem asked for the total number of flies caught by you and friend, before and after the competition 7m+19 flies total add like terms in each expression.

Answer:

M = 3

3 x 3 + 13 = 22

4 x 3 + 6 = 18

"You" Has more.

^^ hope this helps.

Have a wonderful day!

The solution for variable k according to the equation given in the task content is; 2.5.

It follows from the task content that the value of variable k is to determined.

Given;

2.5 ( 4 k + 2 ) = 12 k

To find: k.

Solving the parentheses; we have;

10k +5 = 12k

Collect like terms;

5 = 2k

k = 5/2

k = 2.5.

Ultimately, the value of k according to the given task is; 2.5.

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The equation of the line in point-slope form, which passes through the pair of points located at (1 , 9) and (6 , 2), is y - 9 = -7/5(x - 1).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (1 , 9) and (6 , 2).

m = (y2 - y1)/(x2 - x1)

m = (2 - 9)/(6 - 1)

m = -7/5

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = -7/5 and (x1 , y1) = (1 , 9)

(y - 9) = -7/5(x - 1)

y - 9 = -7/5(x - 1)

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Answer:

the greatest common factor of 6 and 12 is 6

Step-by-step explanation:

6 can be divided by six, one time. 12 can be divided by six, two times.

The answer is 6.

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The GCF of a number is the greatest common factor of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.

The numeric values of the function f(x) = 5x - 7 are given as follows:

a) f(-2) = -17.

b) f(1/2) = -9/2.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is not 100% visible from the picture, but we are going to suppose it is given by:

f(x) = 5x - 7.

At x = -2, the numeric value is:

f(-2) = 5(-2) - 7 = -10 - 7 = -17.

At x = 1/2, the numeric value is:

f(1/2) = 5(1/2) - 7 = 5/2 - 14/2 = -9/2.

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The  periods that you can use for an n period moving average is 3.

The term n period moving average is the type of average that an investor can use to determine the trends in investments and the equities market. This type of average helps the traders to be able to understand the moving trends in the market and also to be able to make forecasts.

The period of the moving average spans across the times that the stock would last. This is determined by the equities market. Hence we can say that number of periods that you can be able to substitute for n to obtain the period moving average is 3.

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Answer: 32 Times

Step-by-step explanation:

4 * 4 * 2 = 32

Answer: 32

Step-by-step explanation:

4*4=16

16*2=32

or just look it up on whatever browser your using.

The equation for this line in standard form is 2x + y = 10.

These are two methods for finding the equation of a line given a point and slope. Create the equation y = mx + b using the m given in the problem and the b you just solved. Point-slope form = y-y1 = m (x-x1), where (x1, y1) is the specified point and m is the specified slope. "x" and "y" remain as variables.

The slope is m=(-A / B).

A line with a slope of (-2) has the following equation:

2x+y=C Finding the constant C requires a point. Use (2,6)

2(2) +6 = C

10 = C

The equation for a straight line in standard form is 2x + y = 10

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Answer:

rocco has 0.10 liters orange soda and 1.63 liters of grape soda more angelo has

than

It should be noted that the median remains the same because removing an extreme value from a data set will not have much effect on the median.

Statistical data based on the minimum, first quartile, median, third quartile, and maximum are shown graphically in a box plot. The box plot represents the number of kids in 30 distinct households in accordance with the families, and the value of 12 is subtracted for inaccuracy.

Therefore, if there are two kids in the median for both plots when 12 was eliminated from the data set, it remained unchanged.

In conclusion, the median remains the same because removing an extreme value from a data set will not have much effect on the median.

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The 10th term of the geometric sequence is -1/6.

Let the following be a geometric sequence:

    a(1), a(2), a(3), a(4), a(5), ....

Then we have:

a(2) = a(1) . r

a(3) = a(2) . r

Continue the process, we have

a(n) = a(n-1) . r

Where:

a(n) = nth term

a(n-1) = (n-1)th term

r = ratio

In the given problem, a(9) = -1/3, r = 1/2

Plug these into the above formula:

a(10) = a(9) . r

        = (-1/3) . 1/2 = -1/6

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Answer: 14/40 or 7/20

Step-by-step explanation: We need to set the fraction's denominators equal to each other and their LCM is 40 so Andrea ran 1/8 which =5/40. Billie ran 1/5 which =8/40. 5/40+8/40=13/40/ Carol ran both Andrea's and Billie's length combined so that's another 13/40 = 26/40. The whole length is 40/40 so 40/40-26/40=Dana's length which =14/40 or 7/20

The next three terms of the sequence are 84.375, 63.28, 47.46

In order to determine the next three terms, the relationship between the numbers have to be determined.

When examined, it can be seen that the next number is 75% of the previous number

150 / 200 = 75%

112.50 / 150 = 75%

The next number would be 75% of 112.50 = 112.50 x 0.75 = 84.375

The second number would be 75% of 84.375 = 0.75 x 84.375 = 63.28

The third number would be 75% of 63.28 = 0.75 x 63.28 = 47.46

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The given list is a finite series.

There are two parts to our question.

In the first part of the question, we are asked whether the given list of numbers is a sequence or a series.

To answer this part, we should be familiar with what the concept of sequence and series.

A sequence is a plain list of numbers.

A series is a sum of numbers in the list.

The given list looks something like this,

5+10+ . . . . . . +25

So, considering the given definitions of both sequence and series we can clearly tell it is a series.

Now up to the second part of the question, is the given series finite or infinite?

We know this is finite because it has a start of 5 and an end of 25. There's an ellipsis in the middle, but it has a beginning and an end, so this will be the right answer.

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The simplification by combining like terms of 7s -s  is 6s.

According to the given question.

We have an expression 7s - s.

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression

7s - s.

Here 7s and s both are the like terms.

So, we subtract coeffcients of s to simplify the given expression.

Therefore, the simplification of the expression 7s - s is given by

7s - s

= 6s

Hence, the simplification by combining like terms of 7s -s is 6s.

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Answer:

You will  need 12.5 gallons of the 22% salt solution and 7.5 gallons of the 38% of the salt solution

Step-by-step explanation:

.22x + .38(20 -x) = .28(20)  I want to clear the decimal, so I will multiple through by 100

100[.22x + .38(20-x)] = [.28(20)]100

22x + 38(20-x) = 28(20)  Distribute the 38

22x + 760 -38x = 560 combine the x's

-16x + 720 = 560 Subtract 720 from both sides

-16x = -200  Divide both sides by -16

x = 12.5

20 - 12.5 = 7.5

Answer:

I believe the correct answer to this question is D.

Step-by-step explanation:

You can use Desmos (graphing calculator)  to graph the equation to verify it. :)

The measure of the length of BC from the expression is 8

The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Given the following segments

AB = 7

AD = 25 and:

CD = 10

Using the addition postulate below:

AB+BC+CD = AD

Substitute the given parameters

7+BC+10 = 25

17+BC = 25

Subtract 17 from both sides

17+BC-17 = 25 - 17

BC = 8

Hence the measure of the length of BC from the expression is 8

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The difference between the distances flown by these birds is 150 Km.

We have a graph given in the question.

We have to find the difference in the distances flown by these two birds after 3 hours of flight.

The general equation of a line is -

y = mx + c

According to the question -

The slope of the line is -

m = 400/5 = 80

The y - intercept of the line is 0. Therefore → c = 0.

Therefore, the equation of the line will be -

y = 80x

The distance covered by Bird 1 →

D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.

The distance covered by Bird 2 →

D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.

Therefore, difference between the distances flown by these birds -

D[2] - D[1] = 640 - 490 = 150 Km.

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[ The given question is incomplete. A graph is attached at the end of answer which is also a part of the question]