Which angles are linear pairs? Check all that apply.SRT and TRVSRT and TRUVRW and WRS. VRU and URS URW and WRS

The time the balls roll when the total distance is 130 cm is 10 seconds.

let

d = total distance the ball rolls

t = time in seconds

The total distance is directly proportional to the time in seconds. Therefore,

d ∝ t

d = kt

where

∝  is the proportionality sign

k = constant of proportionality

when d = 78 cm, t = 6 seconds

Therefore, let's find the constant of proportionality.

k = d / t

k = 78 / 6

k = 13

The constanst of proportionality is known . Now let's find the time(seconds) when d = 130 cm .

d = kt

make t the subject of the formula

t = d / k

t =  130 / 13

t = 10 secs

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Given:

To write the given fraction into two other notations, we use "to" for word notation while ":" for number notation.

Therefore, the answers are:

1 to 3

1:3

Answer:

113

Step-by-step explanation:

The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3

180-67=113

Answer:

∠3 measures 113°

Step-by-step explanation:

These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.

∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.

\(x+67=180\\x=113\)

∠3 measures 113°

Time taken by final lesson is 48 minutes and time consumption will not be affected if first lesson takes less time to finish.

Given that;

The time to finish five lessons = 4 hours

Then one lesson takes = 4/5 hours to finish

(a) Since  each lesson takes equal amount of time

Therefore,

The time taken by final lesson in minutes = (4/5)x60

                                                                      = 48 minutes

(b) Since each lesson has own capacity of time so the time consumption for other lesson is not affected if first lesson takes less time.

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Answer: 25.7142857143

Step-by-step explanation:

180 / 0.7 = 25.7142857143

Answer:

\(v = at + 16 {t}^{2} \\ v - 16 {t}^{2} = at \\ \frac{v - 16 {t}^{2} }{t} = a \\ (27 - 16 \times {4}^{2}) \div 4 = a\\ \frac{27 - 256}{4} = a\\ \frac{ - 229}{4} = - 57.25 \\ thank \: you\)

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of color are possible  \(\left n} \atop }} \right. C _r = 1215450\)

Step-by-step explanation:

From the question we are told that  

   The number of  colors is  r = 4

    The sample size n =  75

The number of color that are possible can be mathematically evaluated as

       \(\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}\)

substituting values

         \(\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}\)

       \(\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}\)

       \(\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}\)

        \(\left n} \atop }} \right. C _r = 1215450\)

The coefficients \(a_0,a_1,a_2,a_3\) could be chosen to be the coefficients in the Maclaurin series of \(\sin(x)\).

We have

\(y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0\)

\(y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1\)

\(y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2\)

\(y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3\)

It follows that \(a_0=0\), \(a_1=1\), \(a_2=0\), and \(a_3 = -\frac16\).

Answer:

x = 155°

Step-by-step explanation:

Adjacent angles of a parallelogram are supplemenary angles . Supplemwntary angles are the angles whose sum is 180°. So,

KGH + JKG = 180°

=> 25° + x° = 180°

=> x = 180 - 25 = 155°

Answer:

I believe the correct answer is C

Step-by-step explanation:

if you convert 1/5 into a decimal it would be 0.2

if you convert 1/21 to a decimal it would be 0.4 then you make it a square root it would be 0.6

4.15 is already a decimal so you don't have to do anything to it.

if you turn 21 into a square root the would be 4.5

so if you line all the numbers up from smalllest to lagerst it would look like this

1/5,1/21,21,4.15

so c is the corrcet answer

The possible values of x are 51% < x < 59%.

When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Let K represent Kofi

1st paper = 45/100

2nd paper = x / 100

Mean score = ( 45 + x ) % / 2

The possible range of x = 48% < (45+X)/2 < 52%

Cross multiplying

96% < 45 + x < 104%

Subtract 45 from both sides

Range = 51% < x < 59%

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Answer:

  tan(α+β) ≈ -5.8688

Step-by-step explanation:

You can use the formula for the tangent of the sum of angles, or you can use a calculator to find the angles. The latter is much simpler.

  tan(α+β) = tan(arccos(0.871) +arccos(0.338))

  tan(α+β) ≈ -5.8688

Note that the two angles total slightly more than 90°, so the tangent of their sum is a large negative number.

The use of trig identities also requires a calculator, and many more steps.

The tangent of the angle can be found from the cosine using ...

  tan(x) = √((1/cos(x))² -1)

  tan(α) = √((1/0.871)² -1) ≈ √(1.1481056² -1) ≈ 0.56404479

  tan(β) = √((1/0.338)² -1) = √(2.9585799² -1) ≈ 2.7844559

And the tangent of the sum of angles is ...

  tan(α +β) = (tan(α) +tan(β))/(1 -tan(α)tan(β))

  tan(α+β) = ((0.56404479 +2.7844559)/(1 -(0.56404479)(2.7844559))

  tan(α+β) = 3.3485007/(1 -1.5705579)

  tan(α+β) ≈ -5.8688

__

Additional comment

The approximate angles are ...

  α ≈ 29.4249°

  β ≈ 70.2448°

Then α+β ≈ 99.6699°

Answer:

X = 4x-18

Step-by-step explanation:

X = “a number”^^

Multiply the area of the circle by the percentage:

60 square units x 50% = 60 x 0.50 = 30

50% 0f the circle id 30 square units.

Answer:

B

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

c ≤ 4

Interval Notation:

( − ∞ , 4]

Answer:

What is the value of y?

y = ✔ 10

mAngleJKM = ✔ 106°

mAngleMKL =  ✔ 74°

Step-by-step explanation:

Answer:

1: 10  2: 106  3: 74

Step-by-step explanation:

Answer:

\(0.98268\)

Step-by-step explanation:

We are given that

Mean, \(\mu=3408\)miles

Variance, \(\sigma^2=249001\)

We have to find  the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles.

n=36

\(P(|\bar{x}-3408}|<198)=P(3408-198<\bar{x}<198+3408)\)

=\(P(3210<\bar{x}<3606)\)

=\(P(\frac{3210-3408}{\sqrt{\frac{249001}{36}}}<\frac{\bar{x}-\mu}{\sqrt{\frac{variance}{n}}}<\frac{3606-3408}{\sqrt{\frac{249001}{36}}}\)

\(=P(-2.38<Z<2.38)\)

\(=P(Z<2.38)-P(Z<-2.38)\)

\(=0.99134-0.00866\)

=\(0.98268\)

Hence,  the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles=\(0.98268\)

Answer:

4900

Step-by-step explanation:

When rounding a number such as 4928 to the nearest hundred, we use the following rules:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule B applies and 4928 rounded to the nearest hundred is:

4900

Answer:

Step-by-step explanation:

4,928, look at the last two numbers 28 if they are above 50 you round up, if below 50 round down,

The answer is 4,900

Answer:

(4)

Step-by-step explanation:

Let's make the smaller number equal to x. Since they are consecutive odd numbers, the larger number is x+2.

Twice the smaller number is 2x. Three times the larger number is 3(x+2). If twice the smaller is subtracted from three times the larger, then the expression should be: 3(x+2) - 2x

Then, since the result of this is four more than the smaller, this expression is x+4.

Finally, we put it all together, so we get: 3(x+2) - 2x = x + 4. Option 4 is our correct answer.

Hence, the option (4) is correct.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Two numbers are consecutive odd integers. If twice the smaller is subtracted from three times the larger, the result is four more than the smaller.

Let us assume the smaller number is \(x\).

The larger number is  \((x+2)\).

Two numbers are consecutive odd integers. If twice the smaller is subtracted from three times the larger than it is

\(3(x+2)-2x\)

So, the result is four more than the smaller.

i.e., \(3(x+2)-2x=x+4\)

Hence, the option (4) is correct.

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Answer:

A

Step-by-step explanation:

for the relationship to be a function, then each value from the input must map to exactly one unique value in the output.

This is the case here si represents a function.

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be \(\sqrt2\).

We can then solve for x using the Pythagorean theorem:

\(\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2\)

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be \(\sqrt2\) times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

The answer is x = 1

Hope this helps! :)

(sqrt) x + 3 = x + 1

x + 3 = x^2 + 2x + 1

x + 3 - x^2 - 2x - 1 = 0

-x + 2 - x^2 = 0

x^2 + x - 2 = 0

(x - 1) (x + 2) = 0

x = 1, -2

^^no negatives/canceled

x = 1

The answer of the following are; A. 16 yellow marbles were chosen

B. 24 marbles were chosen

C. Not enough information.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are obtained data from the question. This include the following:

marble = 40

Black marble =..?

A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.

yellow marble chosen = 2/5 x 40 = 16.

Therefore, 16 yellow marbles were chosen.

B. From the question given, 3/5 of the 40 marbles were chosen.

marble chosen = 3/5 x 40 = 24.

Therefore, 24 marbles were chosen.

C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.

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The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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I don't think I can do it. sorry