The figure below shows a parallelogram ABCD Side AB parallel to side DC and side AD is parallel to side BC A student wrote the following sentences to prove that parallelogram ABCD has two pairs of opposite sides equal For triangles and COB alternate interior angle ABD is congruent to angle CDB because AB and DC are parallel lines Similarly interior angle equal to angle CBD because AD and are parallel lines equal to DB by the reflexive property Therefore , triangles ABD and COB are congruent by the SAS postulate Therefore AB congruent to and AD congruent BC CPCTC Which statement best describes a flaw in the student's proof ?

Answer:

2

Step-by-step explanation:

In the above question, we are given the following information:

Total member in the club = 15

Rugby = n(R) = 7

Soccer = n(S) = 6

Neither Rugby nor Soccer = 4

Rugby and soccer = n( R ∩ S) = (Unknown)

Total number of club members = n(R) + n(S) - n( R ∩ S) + Neither Rugby nor soccer

15 = 7 + 6 - n( R ∩ S) + 4

15 = 17 - n( R ∩ S)

15 - 17 = - n( R ∩ S)

-2 = - n( R ∩ S)

n( R ∩ S) = 2

Therefore, the number of people that played both rugby and soccer is 2

Answer: 189.41

Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117

I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!

Answer:

answer C (0,-9)

Step-by-step explanation:

the line passes through (0,-9)

Answer:

Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].

Step-by-step explanation:

The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.

Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].

Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].

By the power rule:

Therefore:

[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].

In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.

Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].

Answer:

58.28 m/s

Step-by-step explanation:

y = 62t - 1.86t²

Speed, S = dy/dt = 62 - 2(1.86)t

S = 62 - 3.72t

When t = 1

S = 62 - 3.72 = 58.28 m/s

=============================================

Explanation:

The original equation is in the form a+b = 1, where

a = sin(theta)

b = cos(theta)

Square both sides of a+b = 1 to get

(a+b)^2 = 1^2

a^2+2ab+b^2 = 1

(a^2+b^2)+2ab = 1

From here notice that a^2+b^2 is sin^2+cos^2 = 1, which is the pythagorean trig identity. So we go from (a^2+b^2)+2ab = 1 to 1+2ab = 1 to 2ab = 0 to ab = 0

Therefore,

sin(theta)*cos(theta) = 0

Answer:

sin ∅ cos ∅ = 0.

Step-by-step explanation:

(sin∅+cos∅)^2 = 1^2 = 1

(sin∅+cos∅)^2  = sin^2∅ + cos^2∅ + 2sin ∅ cos ∅ = 1

But  sin^2∅ + cos^2∅ = 1, so:  

2sin ∅ cos ∅ + 1 = 1

2 sin ∅ cos ∅ = 1 - 1 = 0

sin ∅ cos ∅ = 0.

Answer:

Jada drank less water than Elina.

Step-by-step explanation:

Water drunk by Elina = 3 liters

Jada drank the water [tex]\frac{3}{4}[/tex] times as much as water as Elina.

Therefore, water drunk by Jada = [tex]\frac{3}{4}\times 3[/tex]

                                                     = [tex]\frac{9}{4}[/tex]

                                                     = 2.25 liters

Lin drank water twice as much as Jada.

Therefore, Lin drank the amount of water = 2 × 2.25

                                                                   = 4.5 liters

Since Jada drank 2.25 liters of water and Elina drank 3 liters

Therefore, Jada drank less water than Elina.

Answer:

slope is 5

Step-by-step explanation:

y = 5x

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and the y intercept is 0

The functions could have the graph shown below will be y = 30eˣ. Then the correct option is D.

Let a be the initial value and x be the power of the exponent function and e be the increasing factor.

The exponent is given as

y = a(e)ˣ

From the graph, the value of the exponent function at x = 0, will be 30.

Then the function will be

30 = a(e)⁰

30 = a

Then the exponent function is given as,

y = 30eˣ

Thus, the functions could have the graph shown below will be y = 30eˣ.

Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

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Step-by-step explanation:

u just need to imagine it was x^2-17X+16 in the beginning and add square onto the x after u factorise. then solve the x. hope it helps

Answer:

360%

Step-by-step explanation:

You have to multiply 3.6 by one hundred to get the percentage. When you multiply decimals by numbers that are multiples of ten, you move the decimal place to the right of the number by the number of zeroes that is in your number. Sorry if its confusing.

Examples: 3.76 * 100 = 376. You move the decimal to the right two spaces

46.263 * 1000 = 46263. You move the decimal to the right three spaces. Hope you understand.

Answer:

Look below.

Step-by-step explanation:

The location of the coordinate plane will be shown in the graph.

Coordinate geometry is the study of geometry using the points in space.

Henry gathered data about the types of nuts in five handfuls of mixed nuts.

The data he gathered is shown in the table.

Handful     Number of peanuts       Number of other nuts

  A                           9                                        7

  B                           6                                        5

  C                           8                                        9

  D                           5                                        7

  E                            7                                        4

The graph is shown below.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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Answer:

Answer would be D

Step-by-step explanation:

The measure of the length UX will be 76.53 units. Then the correct option is D.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The measure of the length UX will be given by sine of angle 6°.

  sin 6° = UR / UX

0.1045 = 8 / UX

     UX = 76.53 units

Then the correct option is D.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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Answer:

x=5

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of numbers

(3+ 2+x+ 11+ 13+14)/6 = 8

Multiply each side by 6

(3+ 2+x+ 11+ 13+14) = 48

Combine like terms

43+x = 48

Subtract 43 from each side

x =5

Answer:

[tex]\huge \boxed{{x=5}}[/tex]

Step-by-step explanation:

The mean is the average value of a data set.

[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]

The mean is given solve for x.

[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]

Multiply both sides by 6.

[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]

[tex]48=3+2+x+11+13+14[/tex]

Combine the numbers on the right side of the equation.

[tex]48=x+43[/tex]

Subtract 43 from both sides.

[tex]48-43=x+43-43[/tex]

[tex]5=x[/tex]

Answer:

The center of the semifinal round distribution is greater than the center of final round distribution.

The variability in the semifinal round distribution is less than variability in the final round distribution.

Step-by-step explanation:

The mean value of each distribution set is not calculates as the center of semifinal round distribution is greater than the final round distribution. MAD Mean Absolute Deviation is calculated from the dotted graph plot, the distribution of semifinal round is less spread out than the final round distribution.

Answer:

correct answer is None of the above i understood nothing the other person was trying to say...

Step-by-step explanation:

mark me brainliest please...

Step-by-step explanation:

why did u add the 5 in the question?.

Answer:

2 3/8

Step-by-step explanation:

First get the LCM (Least Common Multiple) for the denominators so we can subtract them.  The denominators would both be 8 because it is the lowest number that they can have to be able to subtract.  (The LCM).  So is 4 3/4 has a denominator of 8 it'll become:

4 3/4= 4 6/8 because if 4 turned into 8, that means it multiplied by 2.  So, you need to multiply 3 by 2 as well which equals 6.  This is it as a ratio:

3:4 into x:8    

So 4 times 2, which means you need to do 3 times 2 as well.  It equals 6.

So now that we know 4 3/4 is 4 6/8, it is time to subtract.  2 3/8 already has a denominator of 8 so we don't need to do anything with that.  Subtract.

4 6/8-2 3/8= 2 3/8.  4-2=2, so the whole number is 2.  6-3= 3, so the numerator (the top number) is 3.  The denominator (the bottom number) always stays the same so it is the same, which is 8.

Answer:

a = -87/13

b = 41/13

Step-by-step explanation:

3a + 7b = 2

2a + 9b = 15

You need to have one of the coefficients have the same number but the opposite sign in both equations.  Multiply the first equation by -2 and the second equation by 3.  You will then be able to cancel out a and solve for b.

-2(3a + 7b) = -2(2)

-6a - 14b = -4

3(2a + 9b) = 3(15)

6a + 27b = 45

-6a - 14b = -4

6a + 27b = 45

0a + 13b = 41

13b = 41

b = 41/13

Plug in the b-value into one of the given equations and solve for a.

3a + 7b = 2

3a + 7(41/13) = 2

3a + 287/13 = 2

3a = -261/13

a = -87/13

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

Answer:

no

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

Answer: I believe in would be 28.

Explanation:

Answer:

I would say that there would be 28 squares in the 7th pattern.

Step-by-step explanation:

If you look at how the pattern is gradually increasing every time you add the number located at the bottom to the previous pattern. So if that is the rule then you would add 7 more squares to the 21 squares in the 6th pattern. Then you add

21 + 7 and you get 28.

Ex: In the first pattern there is 1 square and then in the 2nd pattern you see that there is an additional 2 squares which is the number at the bottom of the actual pattern.

*Idk if this is the actual rule to the pattern so please do not come for me if I am wrong but this is the way my brain sees the patterns in the picture. I also went ahead and tried my theory for all the patterns in the picture and it works :)

I really hope that this helps you understand the question a bit more! :)

Answer:

w = 35/4

im not exactly sure why the options are whole numbers.

Step-by-step explanation:

8 = w-3/4

-w + 8 = -3/4

-w = -3/4 - 8

-w = -3/4 - 32/4

-w = -35/4

w = 35/4

Answer:

B

Step-by-step explanation:

If you were to have an equation y = x.

Then, x - 9 shifts it down 9.

If you were to have an equation y = 2x.

Then, 2x - 9 shifts it down 9.

Using this pattern, we deduce that  f(x) - 9, shifts the graph down 9 units.

So, our answer is B>

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6

Answer:

y = $ x/3

Step-by-step explanation:

Let the amount of dollars in Teo's bank on Tuesday be $x and the amount in his bank on Friday be $y.

If the number of dollars in Teo's bank  account on Tuesday was 3 times as

much as the amount on Friday, this can be represented mathematically as;

x = 3y where y is the amount in his bank on Friday.

The amount of dollars in his account on friday will be gotten by dividing both sides of the equation by 3

3y = x

3y/3 = x/3

y = x/3

Hence the amount of dollars in his account on Friday is y = $ x/3

Answer:

Step-by-step explanation:

Hypotenuse = Length of  ladder = 10m

Distance between wall and end of the ladder at ground =   leg ²  = 2 m

Height of wall = x m

Use Pythagorean theorem

leg² +x² = 10²

2² + x² = 100

4 +x²    = 100

       x² = 100 -4

      x² = 96

      x = √96

       x  = 9.7979

      x = 9.798 m

Answer:

2.75+11.50S[tex]\leq[/tex]55

4

Step-by-step explanation:

The Total amount of money Alonso went to the market with is: = $55

Items to be bought includes:

Alonso knows that:

Requirement for his taste for sugar:

From this information, the objective would be to determine the number of sugar he can purchase with the money left after he has already bought the eggs.

To start with, the amount of money left after buying the eggs is:

= $55 - $2.75

= $52.25

Now, if a box of sugar he likes cost = $11.50

Then he will be able to purchase (x( bost of sugar with = $52.50

Now, to determine the number of boxes of sugar he can purchase, we have:

1 box of sugar = $11.50

x(box) of sugar = $52.25

∴

[tex]\mathbf{x (box) of sugar = \dfrac{\$52.25 \times 1 box of sugar }{\$11.50}}[/tex]

x = 4.5 box of sugar

Therefore, after buying a pack of 12 eggs for = $2.75, Alonso will be able to buy [tex]\mathbf{ 4\dfrac{1}{2}}[/tex]  or 4.5 boxes of sugar.

Learn more about word problems here:

https://brainly.com/question/20252231?referrer=searchResults

Answer:

468

Step-by-step explanation:

The equation is: 51x² + y + 3​

Let's first find x.  It says x= 3, so let's subsitute that in.

51(3)² + y + 3​

3² is 9 because 3 times 3 is 9, which means:

51(9) + y + 3​.  

It is 51 times 9 and not 519 because x was supposed to be squared by itself and 51 was next to it.  When a number is close to another number, especially with parentheses, it wants you to multiply the two together.  

For example: 3(3) is 9 and 4(5) is 20.

Now that we found x, let's get y.  The problem states that y= 6...let's subsitute that in.  

51(9) + 6 + 3​.  

Now that we got all the variables out of the way, we can simplify!

51 times 9= 459

459+6+3 is the same thing as 459+9, since 6+3= 9.

459+15= 468  :)

Answer:

Let the cost of hiring diving equipment be X

Given,

cost of hiring diving equipment=X

cost of hiring wet suit =1/3 of X

Total cost of both =$144

Now,

X+1/3X=$144

or, (3X+X)/3=$144 ( taking l.c.m.)

or, 4X/3=$144

or, 4X=$144*3

or, X=$432/4

or, X=$108

Therefore, he paid $36 which is 1/3 of x to hire wetsuit.

Answer:

For "Negative 23 greater-than x" , highlight the left half of the number line starting at -23 and use a parenthesis ) on -23.

For "x greater-than-or-equal-to negative 23", highlight the right half of the number line starting at -23, and use a square bracket [ on -23.

Step-by-step explanation:

Start by locating the number -23 on the number line. Please see attached image to accompany the explanation.

In the first case:  "Negative 23 greater-than x" , which is expressed mathematically as:

[tex]-23 >x[/tex]

notice that "x" has to be strictly smaller than the number -23, therefore those sought x values must reside to the left of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself shouldn't be considered as part of the set, that symbol is by convention a parenthesis ).

In the second case: "x greater-than-or-equal-to negative 23", which is expressed mathematically as:

[tex]x\geq -23[/tex]

notice that "x" has to be greater than or equal to the number -23, therefore those sought x values must reside to the right of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself should be considered as part of the set, that symbol is by convention a square bracket [.

Answer:

the answer is A

Step-by-step explanation: