Find the value of x for which line a is parallel to line b

Answer:

The value of x = 34° ⇒ first answer

Step-by-step explanation:

* Lets revise some facts about the circle

- A chord of a circle is a straight line segment whose endpoints

 both lie on the circle

- When two chords, intersect inside a circle then the measure

 of the angles formed is one-half the sum of the measures of the

 intercepted arcs.

* Now lets solve the problem

- There are two chords intersect inside the circle

∵ AC and DB are two chords intersect each other at point O

- The measures of the angles between them is 1/2 the measure

  of their intercepted arc

∵ ∠AOB subtended by arc AB

∵ ∠COD subtended by arc CD

∴ m∠AOB = m∠COD = 1/2[measure arc AB + measure arc CD]

∵ The measure of arc AB = 45°

∵ The measure of arc CD = 23°

∴ m∠AOB = m∠COD = 1/2[45 + 23] = 1/2[68] = 34°

- The measure of angle AOB represented by x

∴ m∠AOB = x

∴ The value of x = 34°

Answer: Surface Area= 40

Step-by-step explanation:

The surface area is the sum of all areas of the triangle. To find the area of the triangle you would multiply the base(4) times the height(3) and divide it by 2. 4x6/2=6. This will give you the area of 6 for one triangle. Since there are 4 triangles you would multiply it by 4. This will give you 24. Now all you got to do is add the square's area which is 4 times 4 giving you 16. Add 16 and 24 and you get 40.

Answer:

D) [tex]x^3+8y^6[/tex]

Step-by-step explanation:

We have been given four choices.

A) [tex]3x^3+8y^6[/tex]

B) [tex]8x^3-27y^6[/tex]

C) [tex]125x^6-9y^3[/tex]

D) [tex]x^3+8y^6[/tex]

Now we need to find about which of the above choices is a sum of cubes.

Basically we need to check which one of the given choices can be represented in cubic form along with addition sign.

3 and 9 can't be written in cubic form unless we use radical numbers.

So the only choice left is D)

D) [tex]x^3+8y^6[/tex]

[tex]=x^3+2^3(y^2)^3[/tex]

[tex]=x^3+(2y^2)^3[/tex]

which is clearly visible as sum of cubes.

The answer is:

D) [tex]x^{3}+8y^{6}[/tex]

We are looking for the expression that can be obtained from a sum of cube factoring, the form of the sum of cubes will be:

[tex]a^{3}+b^{3}=(a+b)(a^{2} -ab+b^{2})[/tex]

The only option that matches with the sum of cubes form is the last option,

D) [tex]x^{3}+8y^{6}[/tex]

and it can be rewritten as the following expression:

[tex]x^{3}+8y^{6}=x^{3}+(2y^{2})^{3}\\\\x^{3}+(2y^{2})^{3}=(x+2y^{2})(x^{2}-2xy^{2}+(2y^{2})^{2})\\\\(x+2y^{2})(x^{2}-2xy^{2}+(2y^{2})^{2})=(x+2y^{2})(x^{2}-2xy^{2}+4y^{4})\\\\(x+2y^{2})(x^{2}-xy^{2}+4y^{4})=x*x^{2}-2x^{2}y^{2}+2xy^{4}+2x^{2}y^{2}-2xy^{4}+8y^{6}\\\\x*x^{2}-2x^{2}y^{2}+2xy^{4}+2x^{2}y^{2}-2xy^{4}+8y^{6}=x^{3}+8y^{6}[/tex]

Therefore, we have that:

[tex]x^{3}+8y^{6}=x^{3}+(2y^{2})^{3}=(x+2y^{2})(x^{2}-2xy^{2}+(2y^{2})^{2})=x^{3}+8y^{6}[/tex]

Hence, the correct answer is:

D) [tex]x^{3}+8y^{6}[/tex]

Have a nice day!

Answer

The answer is A or 0.20

Step-by-step explanation:

So if you add all the numbers up so (4+4+10+2+5+6+8+1) that would equal=40

8 is the number of girls with brown hair so I would divide 8 by 40

8/40=0.20

Hope this helps!

Answer:

0.20

There are 8 brown-haired girls, out of 40 students.

8

40

Answer:

x=4 y=10

Step-by-step explanation:

-5y+8x=-18

5y+2x=58

so the first thing you do is cancel out the 5s then you add the 8+2 and -18+58 then you have 10x=40 then you divide both sides by ten. then you plug that four back into an equation so i did 5y+2(4)=58 then 5y+8=58 you subtract 8 from both sides and you have 5y=50 divide both sides by 5 and you get y=10 and that is how you do that

Answer:

The cake costs $30

Step-by-step explanation:

9(10)=90

120-90=30

Answer:

B) P(green)=2/8(80)

Step-by-step explanation:

Answer:

B. P(green)=2/8(80)

Step-by-step explanation:

Answer:351.9

Step-by-step explanation:351.9 cm3

V = πr2h

V = π(4)2(7)

V = π(16)(7)

V = 112π

V = 351.858

Final answer:

The volume of the cylindrical container is approximately 352.6 cubic inches.

Explanation:

To find the volume of a cylindrical container, you can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the radius is 4 inches and the height is 7 inches. Plug these values into the formula:

V = 3.14 x (4 inches)² x 7 inches = 3.14 x 16 square inches x 7 inches = 352.64 cubic inches.

Since the question asks for the volume rounded to the nearest tenth, the answer is approximately 352.6 cubic inches.

Answer:

Step-by-step explanation:

The equation of a circle in standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex](x-3)^2+y^2=8\to(x-3)^2+(y-0)^2=(\sqrt8)^2[/tex]

Therefore

the center: [tex](3,\ 0)[/tex]

the radius: [tex]r=\sqrt8\to r=\sqrt{4\cdot2}\to r=\sqrt4\cdot\sqrt2\to r=2\sqrt2[/tex]

Answer:

(8+x)<32

Step-by-step explanation:

What Jenna wrote is "the sum of 8 and x minus 32"

Jenna made a mistake by interpreting the phrase "the sum of 8 and x less than 32" as if it suggested that one should calculate the sum of 8 and x and then subtract 32 from it. This interpretation led her to write the expression as (8 + x) - 32. However, this expression actually represents the value that is 32 less than the sum of 8 and x, which is not what the phrase intends to convey.
The phrase "the sum of 8 and x less than 32" means that when we add 8 and x together, their total should be less than 32. This is a statement about the relationship between the sum of 8 and x and the number 32. It involves a comparison, not an arithmetic operation like subtraction.
To correct the expression according to the original phrase's intent, we need to write an inequality that compares the sum of 8 and x with 32. The phrase suggests that the sum (8 + x) should be smaller than 32. This inequality is written as:
8 + x < 32
This correct expression states that when you add 8 to x, the result should be less than 32. It does not involve subtracting 32 from the sum, but rather compares the sum directly to 32 with a "less than" sign, effectively expressing the original phrase mathematically.

The transitive property of equality is correctly represented by option A, stating that if WX = XY and XY = YZ, then WX = YZ.

The correct answer is option A.

The transitive property of equality states that if two quantities are equal to a third quantity, then they are equal to each other. Among the given options, the statement that represents the transitive property is:

A) If WX = XY and XY = YZ, then WX = YZ.

This statement adheres to the transitive property because it asserts that if WX is equal to XY and XY is equal to YZ, then it logically follows that WX must be equal to YZ. This principle is fundamental in mathematics and logic, providing a way to establish equality relationships through a chain of equalities.

On the other hand, options B and C do not correctly represent the transitive property:

Option B is a statement about the equality of angles, and it does not involve the transitive relationship between two quantities.

Option C represents the reflexive property (an equality is always equal to itself) rather than the transitive property.

In conclusion, option A accurately represents the transitive property of equality.

The question probable may be:

Which statement represents the transitive property of equality?

A) If WX = XY and XY = YZ, then WX = YZ

B) If mZA = mZB, then mZB = mZA

C) If WX = XY, then XY = WX

Answer:

The answer is the 1st [tex]\frac{\left[\begin{array}{cc}16&3\\8&1\end{array}\right]}{-8}=1[/tex]

Step-by-step explanation:

Lets revise the Cramer's rule

- If the system of equation is ax + by = c and dx + ey = f

- A is the matrix represent this system of equation

- The first column has the coefficients of x, and

  the second column has the coefficients of y

∴ A = [tex]\left[\begin{array}{cc}a&b\\d&e\end{array}\right][/tex]

- Ax means replace the column of x by the answers of the equation

∴ Ax = [tex]\left[\begin{array}{ccc}c&b\\f&e\end{array}\right][/tex]

- Ay means replace the column of y by the answers of the equation

∴ Ay = [tex]\left[\begin{array}{ccc}a&c\\d&f\end{array}\right][/tex]

- x = Dx/D, where Dx is the determinant of Ax and D is the determinant

 of A

- The determinant of A = ae - bd

- The determinant of Ax = ce - bf

* Now lets solve the problem

∵ x + 3y = 16 and 3x + y = 8

∴ A = [tex]\left[\begin{array}{cc}1&3\\3&1\end{array}\right][/tex]

- Replace the column of x by the answer to get Ax

∴ Ax = [tex]\left[\begin{array}{cc}16&3\\8&1\end{array}\right][/tex]

∵ [tex]x=\frac{Dx}{D}[/tex]

∵ Dx = [tex]\left[\begin{array}{cc}16&3\\8&1\end{array}\right]=(16)(1)-(3)(8)=16-24=-8[/tex]

∵ D = [tex]\left[\begin{array}{cc}1&3\\3&1\end{array}\right]=(1)(1)-(3)(3)=1-9=-8[/tex]

∴ x = [tex]\frac{\left[\begin{array}{cc}16&3\\8&1\end{array}\right]}{-8}=\frac{-8}{-8}=1[/tex]

* x = [tex]\frac{\left[\begin{array}{cc}16&3\\8&1\end{array}\right]}{-8}=1[/tex]

Answer:

17.15 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ( b is the base and h the perpendicular height )

here b = AE + EB = 1.4 + 3.5 = 4.9 and h = BF = 3.5, hence

A = 4.9 × 3.5 = 17.15

The mean absolute deviation from the data representing the number of canoes rented each month from May through October is 9.67. The process involves finding the average of the data set, calculating each number's deviation from that mean, and then averaging those deviations.

To calculate the mean absolute deviation of the provided data set: 15, 29, 36, 45, 31, 12, we take the following steps:

So, the mean absolute deviation of the data set is 9.67.

https://brainly.com/question/37093995

#SPJ2

Answer:

Step-by-step explanation:

Let's start by simplifying a little:

g(x) = -2[(x − 1)² + 3]

g(x) = -2(x − 1)² - 6

The negative sign in front means a reflection about the x axis.  The 2 coefficient means a vertical stretch by a factor of 2.  The x−1 means a horizontal shift to the right by 1 unit.  And the -6 means a vertical shift down six units.

So the answer is the third one.

Answer:  34 kids in all

Step-by-step explanation:

: 40 - 6 = 34

0            6                              34

|------------|----------------------------|

The bus can hold no more than 40 people. 6 are already on so at most, there can be 34 others on board. But the number doesn’t have to be exact.

Answer:

$2680.00

Step-by-step explanation:

We are informed that Faith Franklin sells furniture and earns 8% commission on her total sales. She sold $33,500 last month. We are required to determine her earnings for that month;

We simply evaluate 8% of  $33,500

[tex]\frac{8}{100}*33500=2680[/tex]

Therefore, she earned $2680.00

ANSWER

A. (243pi+162) ft^2

EXPLANATION

The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.

Area of major sector

[tex] = \frac{360 - 90}{360} \times \pi \times {18}^{2} [/tex]

[tex] = 243\pi {ft}^{2} [/tex]

The area of the isosceles triangle is calculated using the formula;

[tex] = \frac{1}{2} {r}^{2} \sin( \theta) [/tex]

[tex]= \frac{1}{2} \times {18}^{2} \sin(90 \degree)[/tex]

[tex] = 162 {ft}^{2} [/tex]

The area of the shaded region

[tex] = (243\pi + 162) {ft}^{2} [/tex]

The correct answer is A.

Answer: A

Step-by-step explanation:

1. 49 pic square ft

2. 168 units

3. (4-[tex]\pi[/tex])ft^2

4. 314square ft

5. 22.6 square mm

6. 12 inches

7. 12 [tex]\pi ft^2[/tex]

8. 28.125 [tex]\pi[/tex] square centimeters

9. 22.1 cm

10. (243pi+162) ft^2

Just took the pracitce this will get oyu a 100 hope this helps

Answer:

34

Step-by-step explanation:

Each of the base angles = x

x + x + 112 = 180                Subtract 112 from both sides. Simplify the left side.

2x + 112 - 112 = 180 - 112    Simplify

2x = 68                              Divide by 2

2x/2 = 68/2                       Simplify

x = 34

Each of the base angles = 34 degrees.

Answer:

The value of x (which is also the height of this triangle) is x = 5 units.

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

Here A = 10 units² = (1/2)(4 units)(x).

Multiplying both sides by 2 yields    20 units² = (4units)(x), and thus

       20 units²

x = ------------------ = 5 units

         4 units

The value of x (which is also the height of this triangle) is x = 5 units.

Answer:

x=5

Step-by-step explanation:

Answer:275 276

Step-by-step explanation:

the answer is m = 276

to get the answer you need to subtract 307 - 31 which equals 276

please give me brainliest ^_^

Answer:

15

Step-by-step explanation:

we know that the boys in total cost 75 dollars and the girls cost 90.

75 and 90 share but one common factor and that is 15.

Therefore, we can conclude that the tickets cost $15.

Answer:

15

Step-by-step explanation:

Answer:

1.  1/6 , 2/9 , 1/4 ,  5/18

2.  1/3 , 4/9 , 1/2 , 5/9

3. 5/12 , 5/9 , 5/8 , 25/36

Hope this helps!

Answer:

-3.125

Step-by-step explanation:

Answer: this is the correct answer -3.125

[tex]8x - 2y = - 16 \\ \\ 1. \: 2(4x - y) = - 16 \\ 2. \: 4x - y = - \frac{16}{2} \\ 3. \: 4x - y = - 8 \\ 4. \: 4x = - 8 + y \\ 5. \: 4x = y - 8 \\ 6. \: x = \frac{y - 8}{4} [/tex]

Answer: -4

Step-by-step explanation:

3-9=-6

-6*5=-30

-30-1=-31

6*-31=-186

-186+2=-184

8-2=6

6*7=42

42+4=46.

-184/46=-4

Answer and Step-by-step explanation:

All you have to do is follow the order of operations.

We do everything in the first set of parenthesis, then we work our way out.

[tex]\frac{6(5(3-9)-1) + 2}{7(8-2)+4}[/tex]

First, we would subtract 9 from 3, and 2 from 8.

3 - 9 equals -6

8 - 2 equals 6

[tex]\frac{6(5(-6)-1) + 2}{7(6)+4}[/tex]

Now, we multiply those numbers.

5 times -6 equals -30

7 times 6 is 42

[tex]\frac{6(-30 -1) + 2}{42+4}[/tex]

Now, we simplify.

-30 minus 1 equals -31

42 + 4 equals 46

[tex]\frac{6(-31) + 2}{46}[/tex]

Multiply -31 by 6, then add 2 to the product.

-31 times 6 equals -186

-186 plus 2 equals -184

[tex]\frac{-184}{46}[/tex]

Finally, we divide.

-184 divided by 46 equals

-4

-4 is the answer to the expression.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

3x+2y

Step-by-step explanation:

-3x+2y+x-5x

-5x-3x=-8x+x=-7x

-7x+2y

Answer: [tex]-7x+2y[/tex]

Step-by-step explanation:

You have the expression [tex]-3x +2y + x -5x[/tex]

You can observe that this expresssion has two variables. These are:

"x" and "y"

Then, to simplify the expression given, you need to add the like terms (terms that have the same variable), which are:

[tex]-3x[/tex], [tex]-5x[/tex] and [tex]x[/tex]

Therefore, adding the like terms, you get:

[tex](-3x+x-5x)+2y\\-7x+2y[/tex]

Then, the simplified form of  [tex]-3x +2y + x -5x[/tex] is:

[tex]-7x+2y[/tex]

Answer:

B

Step-by-step explanation:

If I have two dollars of debt (negative) and add 2 more dollars of debt (negative), I now owe 4 dollars in debt (negative).

-2+-2=-4

Answer:

B.) Negative 4

Step-by-step explanation:

A negative plus a negative equales a negative, beacause you aren't adding a positive to cancle out some of the numbers. your just adding more negative.

D is the answer but I’m not sure

Answer: 68 total outcomes

Final answer:

To find the total number of outcomes, we multiply the number of options for each class type using the fundamental counting principle, resulting in 5 × 4 × 5 × 3 = 300 total outcomes.

Explanation:

The question asks us to find the total number of outcomes for first-year students at a school who must choose one each of 5 English classes, 4 history classes, 5 math classes, and 3 physical education classes. To calculate the total number of outcomes, we use the fundamental counting principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m × n ways of doing both.

In this scenario, the student can choose:

5 English classes

4 history classes

5 math classes

3 physical education classes

Applying the fundamental counting principle, we multiply the number of options for each subject:

5 (English) × 4 (History) × 5 (Math) × 3 (Physical Education) = 300 total outcomes.