Hi, can you help me with this exercise please, Find the value of x. Round lengths of segments to the nearest tenth and angle measures to the nearest degree.

Answer:

y - (-4) = 3(x - (-1)

Step-by-step explanation:

Answer:

y−4=−3(x+1)

Step-by-step explanation:

Input data

AE = 17

BE = 8

CD = 32

Procedure

Now for DE

The answer would be DE=51

The next term in the sequence of 1, 8, 27, 81, 243 is 729.

What is a sequence?

Sequences are ordered collections of numbers, often known as "terms," such as 2,5,8. There are some sequences that adhere to a particular pattern that allows for endless extension. For instance, 2,5,8 adheres to the "add 3" pattern, thus we may now continue the process. There are formulas for sequences that show us where to find any given term.

It might be good to separate each phrase into its component parts to solve this problem:

1, or 3^0, is a factor of 1.

8 is 2^3

27 is 3^3

81 is 3^4

243 is 3^5

The likelihood of the following phrase is 3^6, or 729.

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Answer:

Step-by-step explanation:

Given a regular polygon whose interior angles total 12,600 degrees, you want to know the number of sides, the measures of each interior and exterior angle, and the sum of the exterior angles.

The sum of angles of a convex polygon is given by the formula ...

  angle sum = 180° × (n -2)

where n is the number of sides.

Substituting the given angle sum, we can solve for n:

  12,600 = 180(n -2)

  70 = n -2 . . . . . divide by 180

  72 = n . . . . . . . add 2

The regular polygon has 72 sides.

The interior angles of a regular polygon are congruent, so each one is ...

  12,600°/72 = 175°

Each interior angle = 175°.

The exterior angle at a vertex is the supplement of the interior angle there:

  180° -175° = 5°

Each exterior angle = 5°.

The 72 exterior 5° angles have a total of ...

  72 × 5° = 360°

Sum of the exterior angles = 360°.

__

Additional comment

The invariant with convex polygons, regular or not, is that the sum of exterior angles is 360°. This fact is what gives rise to the formula for interior angles.

Answer:

Step-by-step explanation:

the formula for this is PV= nRT

where, P=Pressure, V= Volume, n = Number of moles, R= Molar gas constant, T=Temperature

for this question, P AT S.T.P= 101325 Nm^-2, V= ?, n= 1.35 mol, R= 8.31,

T= 273k

fixing the values into the formula we have,

[101325][V]=[1.35][8.31][273]

make V the subject of formula

V= [1.35][8.31][273]/101325

V= 3062.65/101325

V= 0.03 cm^3

The standard deviation of the mass of the bluetits to 3 significant figures is 1.30.

Standard deviation is used to determine the variation of a dataset. Standard deviation is the spread of a data from the mean of the dataset. The higher the value of the standard deviation, the greater the spread of the dataset.

In order to determine the standard deviation, take the following steps:

Determine the mean of the mass : (9.9 + 9.8 + 12.2 + 13.3 + 11.8 + 10.2 + 12. 3 + 12.9 + 9.2 + 10.3 + 10.7 + 12.1) / 12 = 11.225

Determine the difference between each value and the mean and then square the result and then find the square root. The answer gotten is the standard deviation. 1.30

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Answer:

Explanation:

Given

Using the identity:

Answer:

Domain: A, [1, 7]

Range: [-4, 2]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

x = y - 8

SOLUTION:

Step 1:

In this question, we are given the following:

Scott is 72 inches tall and Chris is 185 centimeters tall.

Who is taller? Show your work.

Step 2:

Scott is 72 inches tall

and

Chris is 185 centimeters tall

Converting cm to inches, we have that:

CONCLUSION:

Since Chris' height = 72.8 inch tall and Scott's height = 72 inch tall

Hence, Chris is taller.



Answer:

0.0[infinitely reprating] 1 is the smallest

Answer:

36

Step-by-step explanation:

LCM of 12 and 18 is the smallest number among all common multiples of 12 and 18. The first few multiples of 12 and 18 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively

Answer:

Explanation:

The volume of a cylinder is given by

Now, to correct the order of the cylinders from least to greatest, we have to calculate the volume of each.

(a). A cylinder with a diameter of 28 units and a height of 18 units.

Diameter is 2 times radius; therefore, r = 14 and the volume is

(b). A cylinder with a radius of 13 units and a height of 17 units.

The volume is

(c). A cylinder with a diameter of 30 units and a height of 14 units.

The radius is 15 units; therefore, the volume is

(d). A cylinder with a radius of 12 units and a height of 20 units.

The volume is

Hence, from least volume to greatest volume the order is

Given the data set:

(-8,-10) (6, -1), (-5,-7),(3, -2) (10, 0) (4,-3) (-3,-6) , (9, 1)

We will graph the points to find the slope of the line of best fit for the data

The graph will be as shown in the following figure:-

As shown, the given points are the dots of blue color

The line of best fit is the dashed red line

As shown, the line has a positive slope and a negative y-intercept

So, the answer will be:

The line of best fit for the data will have a positive slope and a negative y-intercept value.

The linear equation that models the average price of a new home in terms of the year x is given by y = -5600x + 294000 and the average price of a new home would be $238000 in 2014.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The line must pass through points (0, 294000) and (7, 288400) which is given in the question.

We have to determine the slope of the line :

m = (y₂ - y₁)/(x₂ -x₁ )

m = (288400- 294000)/(7 -0)

m = -5600

This represents new home per year

So with your y-intercept of 294000, your equation becomes

y = -5600x + 294000

Using this equation to predict the average price of a new home in 2014.

Let y be the average price of a new home in the year x, where x = 0 represents the year 2004.

Substitute the value of  x = 10 for the year 2014

y = -5600(10) + 294000

y = -56000 + 294000

y = 238000

Hence, the average price of a new home would be $238000 in 2014.

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SOLUTION

Write out the given linear equation

For the first ordered pair,

Substitute the value of x into the linear equation to find the value of y

a). Therefore For the first ordered pair, the missing coordinate y is 10

Similarly, for the second ordered-pair

Substitute the value of x into the linear equation to obtain the value of y

b). Therefore for the second ordered pair, the missing coordinates y is -10

graphing the distance of the dock, point D. is above the water and the hook, point H, is below the water.

See the diagram below :

Point D , is above the water =highlited in yellow.

Point H, the hook, is below the water = shown by colour green.

you can multiply each term of the parentheses by -7

To solve this problem we can evaluate te terms in the table in each equation so:

For A) y = -x + 7

we replace (3,10)

So A is incorrect.

For B) y = x + 7

we replace (3,10), (4,11), (5,12) and (6,13)

So B is the correct answer

Answer:

A ifs it's not right sorry

Part A (Domain and Range)

Domain

The domain is the set of all the values of x for which the function represented by the graph is defined. From the graph:

(A)The domain of the function is:

The range is the set of all the values of y for which the function represented by the graph is defined. From the graph:

(A)The range of the function is:

(A)The x-intercepts of the function are:

(A)The y-intercept of the function is:

Part C

The horizontal asymptote is at:

Part D

The vertical asymptotes are at:

Part E

The oblique asymptote is usually slant.

From the graph, there are no obliques asymptotes.

Option B is correct here.

Okay, here we have this:

Considering the provided figure, that we know an angle, the leg opposite a is an angle and we want to know the hypotenuse, we can use the trigonometric ratios since it is a right triangle, so we obtain the following:

The trigonometric ratio that relates an angle, its opposite leg and the hypotenuse is the sine, therefore that is the one we will use, so we have:

Finally we obtain that the correct answer is the first option (A).

Factor form of the polynomial (x+8)(x+4)

What is Polynomial?

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Given polynomial,

x² + 12x+32

x² + 4x + 8x +32

x(x+4) + 8(x+4)

(x+8)(x+4)

Hence, The completely factored form of this polynomial is (x+8)(x+4)

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Give the interval that describes the set of values shown above

The interval marked in blue has the following features:

* Starts with a filled blue dot at x=2

* Ends with a filled blued dot at x=4

* Runs from x=2 to x=4 with a blue line

The filled dots indicate that the endpoints are included in the interval

The line indicates that all the values in between the interval are included in the interval

There are two basic forms to indicate an interval with included endpoints:

* A pair of values (the endpoints) comma-separated included in a pair of brackets:

Interval: [2,4]

* The closed interval indicated by inequalities signs:

Answer: x = 68

Step-by-step explanation:

Because the 22 degrees and x make up a complementary angle (add up to 90 degrees) we can subtract 22 from 90 to get x.

90-22 = 68

In order to determine the price per orange, calculate the quotient in between 3.78 and 14:

3.78/14 = 0.27

Hence, one orange costs $0.27

The cost of each bottle is $[tex]1[/tex]

Given:

To find: Cost of each bottle of juice?

It is given that Miguel bought snacks for his team's practice which includes a bag of popcorn, and [tex]20[/tex] packs of juice bottles out of which the bag of popcorn cost him $[tex]3.33[/tex] , and the total cost before tax of all the items costs him $[tex]23.33[/tex]

Now we have to find that how much each bottle of juice costs him as asked in the given question.

Let the bag of popcorn's amount be x and the pack of bottle juice is y

Now according to the linear equation in two variable

[tex]x*1+y*20=23.33[/tex]........(1)

where 1 is the total pack of popcorn bag and [tex]20[/tex] the amount of bottle juice packs

As we know that [tex]x=3.33[/tex] since a bag of popcorn costs him $[tex]3.33[/tex]

Now put the value of x in (1) hence,

[tex]3.33*1+y*20=23.33[/tex]

On further solving we get,

[tex]20y=20[/tex]

On further solving we get,

[tex]y=1[/tex] as the price of every juice of bottle.

Hence a bottle of juice costs him $[tex]1[/tex]

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Answers:  c = 17 and c = 18

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Explanation:

Let's expand out the left hand side and rearrange terms like shown in the steps below.

(ax + 3)(bx + 4) = 6x^2 + cx + 12

ax(bx + 4)+3(bx + 4) = 6x^2 + cx + 12

abx^2 + 4ax+3bx + 12 = 6x^2 + cx + 12

abx^2 + (4a+3b)x + 12 = 6x^2 + cx + 12

Then equate the corresponding coefficients

We'll use the fact that a+b = 5. Solving for 'a' gets us a = 5-b

Plug this into the equation dealing with the x^2 coefficients.

ab = 6

(5-b)b = 6

5b-b^2 = 6

0 = b^2-5b+6

b^2-5b+6 = 0

(b-3)(b-2) = 0

b-3 = 0 or b-2 = 0

b = 3 or b = 2

If b = 3, then a = 5-b = 5-3 = 2

If b = 2, then a = 5-b = 5-2 = 3

Therefore, the solutions to this system of equations

[tex]\begin{cases}a+b = 5\\ab = 6\end{cases}[/tex]

are (a,b) = (2,3) and (a,b) = (3,2)

In other words, the answer to the question "what two numbers multiply to 6 and add to 5?" is "2 and 3". The order doesn't matter which is why we can flip the 'a' and b values.

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

Go back to 4a+3b = c which was us equating the x coefficients.

This is the same as c = 4a+3b

Plug in a = 2 and b = 3

c = 4a+3b

c = 4*2+3*3

c = 8 + 9

c = 17 is one possible value of c.

Now let's plug in a = 3 and b = 2

c = 4a+3b

c = 4*3+3*2

c = 12 + 6

c = 18 is the other possible value of c.

Let Lydia invest $x

Half of her stock pays 11% dividend.

So mathematically the amount will be

With the other half, she pays stocks in 14% interest

So mathematically

Her total annual interest is $420

So

She invested $3360 in total

And $1680 in each.

Answer:

Step-by-step explanation:

11x + 4 < 15 or 12x - 7 > 25

      -4   -4              +7   +7

  11x < 11    or     12x > 32

11 (divide) 11  |  12 (divide) 12

x < 1 or x > 2.7

hope this is right!