use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Answer:1.05

Step-by-step explanation:

total = 2.25

pen = x

notebook = x+0.15

2x+0.15=2.25

2x=2.10

x=1.05

pen = 1.05

Answer: B. 3x+6<6 or -2x+9>3

               C. 3x-5<10 and -2x+9>3

Response bias results from the possibility that not all sophomore students provided accurate information about their drug use, which will immediately result in the response bias because of false data.

Response bias is a catch-all phrase for a variety of inclinations for participants to give misleading or inaccurate answers to queries. These biases are common in studies involving participant self-report, such as structured interviews or surveys. The validity of questionnaires or surveys can be significantly impacted by response biases.

The idea that human subjects do not passively respond to stimuli but rather actively integrate several sources of information to develop a response in a specific scenario is central to the concept that response bias can be induced or caused by a variety of causes. As a result, practically every element of an experimental condition has the ability to sway a respondent.

Explanation:

The remedy is to conduct a survey by licensed social workers since licensed social workers didn't explicitly ask sophomore students about drug use; instead, they interacted with the students as their friends before gathering the data.

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Step-by-step explanation:

Daniela : nice definition

Ori : part is right, but part is not

Kaori : incorrect

Daniela would not even have to say, that the lines are distinct. in any case, yes if you don't change anything about the appearance of the lines, but can move them on top of each other. and they completely blend in with each other, then yes they are parallel.

Ori is wrong about the part that they have to be close together. the second line could be in another galaxy, but if they are in the same plane and never intersect each other, then they are parallel.

Kaori is wrong by understanding that parallel means to opposite of perpendicular. perpendicular just means that the 2 lines are intersecting each other at a right angle (90°). but they can intersect at any other angle. that makes them not perpendicular, but they still intersect each other. so, they are not parallel.

Answer:

∠ TVW = 65°

Step-by-step explanation:

∠ UVW = ∠ TVW + ∠ UVT ( substitute values )

21x + 6 = 8x + 9 + 88

21x + 6 = 8x + 97 ( subtract 8x from both sides )

13x + 6 = 97 ( subtract 6 from both sides )

13x = 91 ( divide both sides by 13 )

x = 7

Then

∠ TVW = 8x + 9 = 8(7) + 9 = 56 + 9 = 65°

The unknown angles on the straight line are as follows:

∠RQT is a straight angle.

Therefore,

∠RQT = 180 degrees(angle on a straight line)

Therefore, let's find m∠RQS and m∠TQS

∠RQT = m∠RQS + m∠TQS

where,

m∠RQS = 10x + 9

m∠TQS = 7x + 1

Therefore,

∠RQT = 10x + 9 + 7x + 1

∠RQT = 17x + 10

180 - 10 = 17x

170 = 17x

divide both sides by 17

x = 170 / 17

x = 10

Therefore,

m∠RQS = 10(10) + 9 = 109°

m∠TQS = 7(10) + 1 = 71°

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Answer:

2.47

Step-by-step explanation:

Perform long division.

[tex]Borrow\:8\:and\:2.\:You\:will\:see\: :)\\6 \cdot 2 = 12\\= 14 - 12 \\= 2\\Drop\:8\\= 28\\6 \cdot 4 = 24\\= 28 - 24\\= 4\\Drop\:2\\= 42\\6 \cdot 7 = 42\\= 42 - 42\\= 0\\\\= \boxed{2.47}[/tex]

➲ Hope it helps.

The equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9

= $22

29.18 = 22 + 2x - 5

29.18 = 17 + 2x

29.18 - 17 = 2x

12.18 = 2x

x = 12.18 / 2

x = 6.9

Therefore, the equation that can be used to determine the cost of one drink is 29.18 = 22 + 2x - 5 where the cost of each drink is $6.9

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Manny would save $729.50 per paycheck

What are dollar savings on new motorcycle and retirement?

The amount of savings on new motorcycle and retirement can be determined by multiplying the fractions by the earnings per paycheck

savings for new motorcycle=$2918*2/20

savings for new motorcycle=$291.80

savings on retirement=$2918*3/20

savings on retirement=$437.70

total savings=$291.80+$437.70

total savings=$729.50

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Considering the definition of an inequality, the number of minutes she will run today will be more than 72 minutes.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "t" the number of minutes Raina will run today, the inequality is

t÷ 8> 9

Solving:

t > 9×8

t > 72 minutes

Finally, the number of minutes she will run today will be more than 72 minutes.

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Answer:

The answer to your question is v= 1/3 bh

multiply by : 3

3v = bh

divided by b : h = 3v/b

Step-by-step explanation:Did this help?so its the second

To solve the equation, multiply both sides by 4. The solution is r = -32.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

The given problem:

Solve r/4 = -8

Notice that the variable, r, is already isolated on left side.

Multiply both sides by 4:

r/4 . 4 = -8 . 4

r = -32 (solved)

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Answer:

Step-by-step explanation:

3 * (5 - 2) =

15 - 6 =

9

or

3 * (5 - 2) =

3 * 3 =

9

Answer:

x is 50.

Explanation:

3.5 and 1.4 are both at the bottom of the fraction (denominators), so divide 3.5 by 1.4 to get 2.5.

Then, multiply 20 by 2.5.

This makes sense because 3.5 is greater than 1.4, and the final answer (50) is greater than 20.

We can always check by dividing 50 by 3.5 and 20 by 1.4. See if it is the same number.

Answer:

53/30

Step-by-step explanation:

Just got to derive the lowest common multiple of the denominator and make it same for all fraction. Don't forget to multiply the numerator just the same.

Answer: 53/30

Step-by-step explanation:

[tex]\displaystyle\\\frac{4}{6}+\frac{2}{4} +\frac{3}{5} =\\\\\frac{2*2}{2*3} +\frac{2}{2*2}+\frac{3}{5}=\\\\\frac{2}{3} +\frac{1}{2} +\frac{3}{5}=\\\\\frac{2*10+1*15+3*6}{3*2*5} =\\\\\frac{20+15+18}{30} =\\\\\frac{53}{30}[/tex]

Answer:

Find the revenue function R when x energy drinks are sold.

Step-by-step explanation:

An equation that can  can be used to find the number of sales Luke made this week is; 191 + 16.55x = ¹/₃(573 + 49.65x)

We are told to represent the number of sales as x.

Now, Luke works at a store and earns a fixed amount of $191 plus $16.55 per sale. This is represented as; 191 + 16.55x

Noah works at a different store and earns a fixed amount of $573 plus $49.65 per sale. This is represented as; 573 + 49.65x

We are told that they both made the same number of sales but Luke earned a third of what Noah earned. Thus;

191 + 16.55x = ¹/₃(573 + 49.65x)

An equation that can  can be used to find the number of sales Luke made this week is;

191 + 16.55x = ¹/₃(573 + 49.65x)

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Hello,

[tex]1j + 4 > 1[/tex]

[tex]j + 4 - 4 > 1 - 4[/tex]

[tex]j > - 3[/tex]

Answer:

Step-by-step explanation:

Proportional relationship equation:

Use given values in table to find the value of k:

So the equation is:

denote by u¹ the first term

hence u⁹ is the 9th term

[tex]u_{n} = u_{1} + (n - 1)d[/tex]

[tex]u_{2} = 2 \: \: \: \: \: \: u_{6} = - 14 \\ u_{1} + (2 - 1)d = 2 \\ u_{1} + (6 - 1)d = - 14[/tex]

[tex]u_{1} + d = 2 \\ u_{1} + 5d = - 14 \\ \\ \: \: \: (u_{1},d)=(6,-4)[/tex]

[tex]u_{9} = u_{1} + (9 - 1)d \\ u_{9} = u_{1} + 8d \\ u_{9} = 6+ (8)( - 4) \: \\ u_{9} = - 26[/tex]

Answer:  a₁=6   a₉=-26

Step-by-step explanation:

a₂=2    a₆=-14    a₁=?     a₉=?

a₂=a₁+(2-1)d

a₆=a₁+(6-1)d

a₁+d=2    (1)

a₁+5d=-14  (2)

Subtract equation (1) from equation (2):

4d=-16

Divide both parts of the equation by 4:

d=-4

Hence,

a₁+(-4)=2

a₁-4+4=2+4

a₁=6

a₉=a₁+(9-1)d

a₉=6+8(-4)

a₉=6+(-32)

a₉=6-32

a₉=-26

Answer:

h = -4/3

Step-by-step explanation:

Worked out on paper

Answer:

about 55,000 pounds

Step-by-step explanation:

1,575(3.125) + 5,020(9.9) = 54,619.875

To the nearest thousand, 54,619.875 rounds to 55,000.

Answer:

14

Step-by-step explanation:

the fist 20 characters equal 14

Answer:

110

Step-by-step explanation:

integers are basically whole numbers

first 10 even integers would be 2,4,6,8,10,12,14,16,18,20

if you add all those numbers, it would be 110

In linear equations, 64% of samples have nitrogen levels and phosphorus levels that are low.

What is linear equations?

P(low nitrogen) = 46% = 0.46

P(low phosphorus) = 28% = 0.28

P(low nitrogen and low phosphorus) = 10% = 0.10

P(low nitrogen or low phosphorus) = P(low nitrogen) + P(low phosphorus) - P(low nitrogen and low phosphorus)

= 0.46 + 0.28 - 0.10

= 0.64 = 64%

Hence , 64% of samples have nitrogen levels and phosphorus levels that are low.

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The total number of different permutations of the set is 5040

The set of elements is given as

Set =  {a, b, c, d, e, f, g}.

The cardinality of the above set is

n = 7

So, the total number of different permutations of the set is

Permutation = n!

This gives

Permutation = 7!

Expand

Permutation = 7 * 6 * 5 * 4 * 3 * 2 * 1

Evaluate

Permutation = 5040

Hence, the total number of different permutations of the set is 5040

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Answer:

irrational number

Step-by-step explanation:

cause it just is

stan bts,txt,enhypen,ateez, and straykids

1.  For the spring, the sugar-water mixture is in the ratio of 3:2 that is for 2 cups of water, 3 cups of sugar are required. For the fall, for every cup of water, 2 cups of sugar are required, giving a ratio of 2:1.

2. To get the ratio for the mixtures, order the pairs (e.g. (6, 4), (15, 10), and check the proportion of each variable in the other variable, using the least common divisor.

A ratio is the proportion of each variable in the other.

Ratios are expressed using the ratio sign (:) or in fractions, decimals, or percentages.

Spring Sugar-Water Mixture
Cups of Sugar   Cups of Water

          6                         4

        15                        10

        18                        12

       27                        18

The ratio of the spring sugar-water mixture is 3:2.  For instance, 27:18 can be reduced to 3:2 by divisor 9.

Fall Sugar-Water Mixture

Cups of Sugar   Cups of Water

          4                         2

        10                         5

        14                         7

       30                        15

The ratio of the fall sugar-water mixture is 2:1.

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Answer:

$25.23

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

(-12)+7 is the same as 7-12 which gives us - 5

Answer: -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the - (-6) becomes a + 6

-8 + 6 - 0 = -2