find xif S is between R and T, RS=2x+3, ST=4x, and RT=63

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

Learn more about Vertical Angles:

https://brainly.com/question/24460838

#SPJ1

The remainder when p(x) is divided by (x+2) is; -79.

Since one of it's factors is (x+1), it follows that P(-1) = 0.

Hence; 0 = (-1)³ -4(-1)² -a +20

a = 15.

Hence, the polynomial is; p(x)=x3−4x2+15x+20

The remainder when p(x) is divided by (x+2) is;

p(-2) = (-2)³ -4(-2)² + 15(-5) +20

p(-2) = -8 -16 -75 +20

p(-2) = -79.

Read more on remainder theorem;

https://brainly.com/question/15165392

#SPJ1

The different of the means of the distribution will be 15. Then the correct option is A.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

the graph is shown below.

Then the different of the means of the distribution will be

⇒ 45 - 30

⇒ 15

Then the correct option is A.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ1

Answer:

x= 27.5

Step-by-step explanation:

Answer:

Cube root of 16​

Step-by-step explanation:

x^m/n =n/x^m

4^2/3 = 3/4^2=3/16

So it is Cube root of 16​

Hope This Helped

Answer:

53 Meters.

Step-by-step explanation:

34*34 + 41*41 = 2837.

1156 + 1681 = 2837.

The square root of 2837 would be your answer.

34*34 + 41*41 = 53.26349 * 53.26349

a*a + b*b = c*c.

a² + b² = c².

Answer:

21.74

Step-by-step explanation:

AC^2 = AB^2 + BC^2

AC^2 = 34^2  +  41^2

AC^2 =  1156 + 1681

AC^2 = 2837

AC     = Square root of 2837

AC     =  53.26..

meters saved by walking through the pond = (AB+BC)-53.26

=>  (34+41)-53.26

=>   75 - 53.26

=>    21.74

hope this helps:)

The values that represent those having type O blood are the values from 000 to 449.

RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.

Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).

0.45*1000 = 450

Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}

So the values that represent those having type O blood are the values from 000 to 449.

If you want to learn more about probability:

https://brainly.com/question/251701

#SPJ1

Using proportions, it is found that it's value before the 2-day drop was of 264 points.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the value dropped by 25%, that is, it was 75% of the original amount, and the dropped value was of 198 points, hence the original amount was:

0.75x = 198

x = 198/0.75

x = 264

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000.

Insurance is the area of applied mathematics that studies different risks to individuals, property and businesses, and ways to manage these risks. Insurance mathematics relies heavily on calculus, probability, statistics and interest theory.

Here,

For this case, what you should know is that Sue Jones insurance covers half of the expenses.

Equivalently, her insurance covers:

                                     10/20 = 1/2 = 0.5

Therefore, we have then that

a. for Albert

0.5 * (12000) = $ 6000

b. for Sam

0.5 * (8000) = $ 4000

c. total

The sum of the results of parts a and b

$ 6000 + $ 4000 = $ 10,000

Thus, the Insurance company pay for Adam $ 6000 for Sam $ 4000, whose total becomes $ 10,000

Learn more about Insurance from:

https://brainly.com/question/989103

#SPJ1

Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we consider the parent cube root function as follows:

[tex]y = \sqrt[3]{x}[/tex]

Then, these following changes happened:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

$5555.20

Step-by-step explanation:

F = P + I

I = Prt

I = $4480 × 0.08 × 3 = $1075.20

F = $4480 + $1075.20

F = $5555.20

Answer:

  $3.65

Step-by-step explanation:

The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.

__

Let x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...

  5x +3y = 23.50

  5x +y = 20.00

Rearranging the second equation, we have an expression for y:

  y = 20.00 -5x . . . . . . subtract 5x from both sides

Substituting this into the first equation gives ...

  5x +3(20.00 -5x) = 23.50 . . . . . substitute for y

  -10x +60.00 = 23.50 . . . . . . simplify

  x -6.00 = -2.35 . . . . . . . . divide by -10

  x = 3.65 . . . . . . . . . . . add 6

One hockey puck costs $3.65.

Answer:

$ 20384.32  

Step-by-step explanation:

Decreasing by 4 % each year means it retains 96 %

  25 000 ( .96)^5 = 20384.32

Answer:

827/200

Step-by-step explanation:

Can't explain, it is I think.

Answer:

50

Step-by-step explanation:

90+40= 130

There are 180 degrees in a triangle.

180- 130 = 50

Answer:

Pretty sure it would be sin(0) cos (0) - sin^2(0)

Answer:

Step-by-step explanation:

By reading the box plot :

The median is the number that corresponds to the line in the center of the box which is 15 in our case.

Answer:

D. 32

Step-by-step explanation:

The minimum value on the stem and leaf plot is 54

The maximum value on the stem and leaf plot is 86

to find the range,

max - min = 86 - 54 which is 32

Answer:

D) 32

Step-by-step explanation:

hope it helps!

Step-by-step explanation:

Remember that

[tex] \frac{dy}{dx} [/tex]

is the gradient or slope function.

So we need to analyze the slope of each graph over given time.l and how it changes.

For the 1st graph, we have a linear function.

Remember the special properties for all linear functions:

The slope at any two points on the line is the same.

So this means our slope here must be constant.

And since our slope is negative, our dy/dx, function must be a constant function that is negative. So

The answer for the first graph is draw a horizontal line underneath the x axis.

For the 2nd graph, we have a slope that is decreasing, reaches 0 at the minimum, then increases even more.

We can draw a linear function that is increasing forever for our dy/dx.

For the 3rd graph, we are increasing , till we hit 0, then decrease until we hit 0, then forever increases.

Our dy/dx will be a parabola that passes through the x axis twice at two different points, facing upwards.

The first , second, and third graph is the dy/dx graphs shown respectively.

All these are examples of possible graphs. If you need more clarification, let me know

Answer:

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters

Step-by-step explanation:

Identify the diameter of Pool A.

d = 2r

d = 2(18) Substitute 18 for r.

d = 36 ft

Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.

36 × 0.305 = 10.98

The diameter of Pool A is about 10.98 meters.

Use the formula to find the circumference of Pool A.

C = πd

C = π(10.98) Substitute 10.98 for d.

C ≈ 3.14(10.98) Substitute 3.14 for π.

C ≈ 34.48 Multiply. Round to the nearest hundredth.

The circumference of Pool A is about 34.48 meters.

Identify the diameter of Pool B.

d = 11.16 m

The diameter of Pool B is 11.16 meters.

Use the formula to find the circumference of Pool B.

C = πd

C = π(11.16) Substitute 11.16 for d.

C ≈ 3.14(11.16) Substitute 3.14 for π.

C ≈ 35.04 Multiply. Round to the nearest hundredth.

The circumference of Pool B is about 35.04 meters.

The circumference of Pool B is greater than the circumference of Pool A.

Find how much greater the circumference of Pool B is compared to the circumference of Pool A.

35.04 − 34.48 = 0.56

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.

Answer: Tenths

Step-by-step explanation:

Answer:

its A im really smart and because im smart

Answer:

its b

Step-by-step explanation:

because im feeling generous enjoy

Answer:

10/3 or 3.3 or 3 1/3

Step-by-step explanation

3x° is 60° , 2x° is 40° and 4x° is 80°

Note that the sum of angles in a triangle is 180°

Solve for x in the triangle

Then,

3x° +2x° + 4x° = 180°

Add the x°

9x° = 180°

Divide both sides by 9

x° = 180÷ 9 = 20°

If x° = 20

Then 3x° = 3× 20 = 60°

2x° = 2 × 20 = 40°

4x°= 4× 20 = 80°

Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°

Learn more about angles in a triangle:

https://brainly.com/question/7620723

#SPJ1

Answer:

irrational

Step-by-step explanation:

It cant be square rooted perfectly.

Answer:

There are three condition, where determinant can be zero. If the complete row of a matrix is zero. If any row or column of a matrix is the constant multiple of another row or column. If any two rows or columns are equal.If all the elements of a row (or column) are zeros, then the value of the determinant is zero. ) is 1.

Step-by-step explanation: