greg is working on a school project

The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer:

$109

Step-by-step explanation:

Formulas

interest = (principal amount)(rate)(time)

interest = (100)(0.09)(3) = $27

total = principal amount + interest

total = 100 + 9 = $127

We know that all the sides of a cube have the same measures:

and its volume is given by

side * side * side = side³

Then, in this case

side = 9 in

↓

volume = (9 in)³

↓ since 9³ = 27

volume = 27 in³

Then, we will need 27 in³ of soil to fill the planter.

The total amount of paper required is 3π(3+√71)unit²

The equation for the surface area of a cone is given as follows:

A = πr²+πrs.

Height of the cone, h = 8 & radius of the cone = 3, the slant height s is given as: s = √(r²+h²)

Substituting the values of r & h to determine s

s = √(8²+3²)

s = √71

Substituting the values to get Area,

A=π*3²+π*3*√71.

A=3π(3+√71)

Hence, the required paper will be A=3π(3+√71)unit²

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

Option C

Step-by-step explanation:

16(0.5x-0.75y+2)

8x-12y+32

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

Answer:

$1.21

Step-by-step explanation:

There are 4 cups in a quart so that makes 2 quarts 8 cups.

9.68 divided by 8 is 1.21

So the price for each cup is $1.21

Answer:  The correct answer is:  " 2x² " .

________________________________

Step-by-step explanation:

________________________________

We are asked:  "What is the sum of:  "x + x² + 2" and "x² − 2 − x" ?

Since we are to find the "sum" ;

  →  We are to "add" these 2 (two) expressions together:

     →     (x + x² + 2) +  (x² − 2 − x) ;

Note:  Let us rewrite the above, by adding the number "1" as a coefficient to:  the values "x" ; and "x² " ;  since there is an "implied coefficient of "1" ;

            → {since:  "any value" ; multiplied by "1"; results in that exact same value.}.

            →     (1x + 1x² + 2) +  (1x² − 2 − 1x) ;

Rewrite as:

             →     1x + 1x² + 2) +  (1x² − 2 − 1x) ;

Now, let us add the "coefficient" , "1" ; just before the expression:

             "(1x² − 2 − 1x)" ;  

         {since "any value", multiplied by "1" , equals that same value.}.

And rewrite the expression; as follows:

            →     (1x + 1x² + 2) +  1(1x² − 2 − 1x) ;

Now, let us consider the following part of the expression:

                     →  " +1(1x² − 2 − 1x) " ;

________________________________

Note the distributive property of multiplication:

   →  " a(b+c) = ab + ac " ;

and likewise:

   →  " a(b+c+d) = ab + ac + ad " .

________________________________

So; we have:

→  " +1(1x² − 2 − 1x) " ;

  = (+1 * 1x²)  +  (+1 *-2) + (+1*-1x) ;

  =       + 1x²    +    (-2)     +  (-1x) ;

  =       +1x²    −    2   −  1x  ;

  ↔    ( + 1x²  −  1x  −  2)

Now, bring down the "left-hand side of the expression:

1x + 1x² + 2 ;

and add the rest of the expression:

     →  1x  +  1x²  +  2  +   1x²  −  1x  −  2 ;

________________________________

Now, simplify by combining the "like terms" ; as follows:

   +1x² + 1x² = 2x²  ;

   +1x −  1x = 0 ;  

   + 2 −  2  = 0 ;

________________________________

The answer is: " 2x² " .

________________________________

Hope this is helpful to you!

   Best wishes!

________________________________

Answer:

The correct answer is:  " 2x² " .

________________________________

Step-by-step explanation:

________________________________

We are asked:  "What is the sum of:  "x + x² + 2" and "x² − 2 − x" ?

Since we are to find the "sum" ;

 →  We are to "add" these 2 (two) expressions together:

    →     (x + x² + 2) +  (x² − 2 − x) ;

Note:  Let us rewrite the above, by adding the number "1" as a coefficient to:  the values "x" ; and "x² " ;  since there is an "implied coefficient of "1" ;

           → {since:  "any value" ; multiplied by "1"; results in that exact same value.}.

           →     (1x + 1x² + 2) +  (1x² − 2 − 1x) ;

Rewrite as:

            →     1x + 1x² + 2) +  (1x² − 2 − 1x) ;

Now, let us add the "coefficient" , "1" ; just before the expression:

            "(1x² − 2 − 1x)" ;  

        {since "any value", multiplied by "1" , equals that same value.}.

And rewrite the expression; as follows:

           →     (1x + 1x² + 2) +  1(1x² − 2 − 1x) ;

Now, let us consider the following part of the expression:

                    →  " +1(1x² − 2 − 1x) " ;

________________________________

Note the distributive property of multiplication:

  →  " a(b+c) = ab + ac " ;

and likewise:

  →  " a(b+c+d) = ab + ac + ad " .

________________________________

So; we have:

→  " +1(1x² − 2 − 1x) " ;

 = (+1 * 1x²)  +  (+1 *-2) + (+1*-1x) ;

 =       + 1x²    +    (-2)     +  (-1x) ;

 =       +1x²    −    2   −  1x  ;

 ↔    ( + 1x²  −  1x  −  2)

Now, bring down the "left-hand side of the expression:

1x + 1x² + 2 ;

and add the rest of the expression:

    →  1x  +  1x²  +  2  +   1x²  −  1x  −  2 ;

________________________________

Now, simplify by combining the "like terms" ; as follows:

  +1x² + 1x² = 2x²  ;

  +1x −  1x = 0 ;  

  + 2 −  2  = 0 ;

________________________________

The answer is: " 2x² " .

Step-by-step explanation:

Answer:

  13.2 gallons

Step-by-step explanation:

The wall area is the product of the room's perimeter length and the wall height:

  A = Ph = (2(L+W))h = 2(20 +13)(8) = 528 . . . . square feet

The number of gallons required to cover this area is then ...

  (528 ft^2)/(40 ft^2/gal) = 13.2 gal

13.2 gallons of paint are required to paint the walls of the room.

Answer:

\(\frac{X}{UB} = H\) is the answer.

Step-by-step explanation:

Since we are solving for H, we need to get rid of everything that isn't H.

X = UHB can also be shown as X = UBH

Divide by UB on both sides to equal to H.

\(\frac{X}{UB} = H\)

This is your answer.

#teamtrees #WAP (Water And Plant)

Answer:

Hold a sec I got this

Answer:

  1

Step-by-step explanation:

You want to know the value of i^4.

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

  i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

__

Additional comment

As you can see from the evaluation process, ...

  i¹ = i

  i² = -1 . . . . . definition of i

  i³ = -i

  i⁴ = 1

The sequence repeats for higher powers.

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

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Step-by-step explanation:

Triangles RQP and RBC are congruent.

Letters R and P are the 1st and 3rd letters in RQP.

Letters R and C are the 1st and 3rd letters in RBC.

Hence line RP = line RC = line CR (D).

D) CR

ΔRQP ≅ ΔRBC

They are congruent so if you highlight the line PR and find the similar one,

ΔRQP ≅ ΔRBC

The line would be line CR.

Answer:

(1,2) and (x-2)-3 should be on the graph

Step-by-step explanation:

Answer:

3$

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

Answer:

x = 5 and the measure of the two angles is 110

Step-by-step explanation:

since the lines a and b are parallel to each other and crossing the transversal we know that the two corresponding angles are the same meaning we can create an equation to help us find x

Since they are both equal out equation will look like this...

23x - 5 = 21x + 5

now we combine like terms and rearrange till the problem can be worked out.

-5 = -2x + 5

alrighty now we can solve

add -5 to both sides

-10 = -2x

divide both sides by -2

5 = x

Now that we have the value of x we can solve the equations separately.

since both the angles are the same we only need to solve one

I'm going to use the second one

21x + 5

now i add in the value of x

21(5) + 5

now I solve

105 + 5

110

Meaning the measure of the two angles is 110 each.

Hope this helps!! :)

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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Answer:

5 steps

Step-by-step explanation:

\(65cm \times 8 = 520cm\)

\(4dm = 40cm \\ 65 - 40 = 25\)

\(25 \times 8 = 200cm \: gap\)

\(200 \div 40 = 5\)

Answer:

His daughter has walked 13 steps

Step-by-step explanation:

Unit Conversion

Each step of the father is 65 cm long and each step of his daughter is 4 dm long.

Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.

Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.

His daughter has walked 13 steps

A. The greatest number of friends who can receive a necklace made from a combination of 72 blue and 42 red beads is 6.

B. Each friend will receive a necklace with 12 blue beads and 7 red beads.

The solution to this problem can be determined by considering the highest common factors of 72 and 42.

The common factors of 72 and 42 are 2 and 3.

The factors of 72 are 2, 3, and 12.

The factors of 42 are 2, 3, and 7.

2 x 3 = 6

When 6 divides 72 = 12

When 6 divides 42 = 7

Number of blue beads = 72

Number of red beads = 42

The highest number that can divide 72 and 42 without a remainder is 6.

Thus, each friend's necklace will contain 19 beads (12 blue beads and 7 red beads).

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Like terms have the same variables, in this case, for the expression 3b + 4 - 2b + 10​ we can identify two groups of terms, those with the variable b (3b and -2b) and those that are just numbers (4 and 10), to simplify this, then perform the subtraction 3b - 2b and the sum 4 + 10, like this:

3b - 2b + 4 + 10 = 1b +12 = b + 12

Then, the result is b +12

To calculate the percentage of questions Danielle got correct on her math test, we can divide the number of questions she got correct by the total number of questions on the test and then multiply by 100. In this case, Danielle got 23 out of 25 questions correct, so we can calculate her percentage as follows: (23/25) * 100 = 92%. Therefore, Danielle got 92% of the questions correct on her math test.

Percent = amount per 100

23/25 = amount per 25

25 x 4 = 100

23 x 4 = 92

92/100 = 92%

Answer = 92%

Hope this helps!

Complete question :

A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then select all that apply:

Sample IQR will change

Range, IQR, and standard deviation will remain the same

Sample range will change.

Sample standard deviation will change

Answer:

Sample range will change

Sample Standard deviation will change

Step-by-step explanation:

Given the sorted sample : 0,0,3, 4,5,8,10, 18

n = number of observations

Sample range : ( 18 - 0) = 10

Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term

Q3 = 27/4 = 6.75th term

(8 + 10) / 2 = 18/ 2 = 9

Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term

2.25th term = 0+3 = 3/2 = 1.5

Interquartile range = 9 - 1.5 = 7.5

Standard deviation = 5.976 (using calculator)

If 18 is replaced by 20:

0,0,3, 4,5,8,10, 20

Range = (20 - 0). = 20

Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term

Q3 = 27/4 = 6.75th term

(8 + 10) / 2 = 18/ 2 = 9

Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term

2.25th term = 0+3 = 3/2 = 1.5

Interquartile range = 9 - 1.5 = 7.5

Standard deviation = 6.563 (using calculator)

1 is 25% of what number?​

Let the number is x

25% of x = 1

25% = 25/100 = 0.25

So,

0.25 x = 1

Solve for x

Divide both sides by 0.25

So,

x = 1/0.25 = 4

So, 1 is 25% of 4

So, the number is 4