Defined as a set of all points equidistant from a given point.
A)
arc
B)
angle
C)
circle
D)
line segment

Answer:

Step-by-step explanation:

11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]

    8x - 6x = 17 + 7

    2x = 24

    x = 12

12). (11x - 15) + (5x - 13) = 180°

    16x - 28 = 180°

    16x = 180 + 28

    16x = 208

    x = 13

13). Since DB⊥AC,

    m∠CBD = 90°

    m∠CBE + m∠DBE = 90°

    (5x - 42) + (2x - 1) = 90°

     7x - 43 = 90

    7x = 133

     x = 19

14). Since QS bisects angle PQR,

    m∠PQS = m∠RQS

    10x + 1 = [tex]\frac{82}{2}[/tex]

    10x + 1 = 41

    10x = 40

    x = 4

15). 10x - 61 = 18y + 5 [Vertical angles]

     10x - 18y = 61 + 5

     10x - 18y = 66

     5x - 9y = 33 ------(1)

     (18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]

     18y + x + 15 = 180

     x + 18y = 165 ------(2)

     By adding equation (1)×2 and equation (2)

     (10x - 18y) + (x + 18y) = 66 + 165

     11x = 231

      x = 21

16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]

      8x - 28 = 180

      8x = 180 + 28

      8x = 208

      x = 26

      (3x - 11)° = 78 - 11

                   = 67°

      67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]

      162 + 2y = 180

      2y = 180 - 162

      2y = 18

      y = 9

17). NP bisects ∠MNQ.

    Therefore, m∠MNQ = 2(m∠PNQ)

    8x + 12 = 2×78

    8x + 12 = 156

    8x = 156 - 12

    8x = 144

    x = 18

    m∠MNQ = (8x + 12)° = 156°

    m∠RNM = m∠ONQ [Vertical angles]

    (3y - 9)° = 180° - m∠MNQ

    3y - 9 = 180 - 156

    3y - 9 = 24

    3y = 33

    y = 11

Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.

11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.

[tex]6x + 7 = 8x - 17[/tex]

[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]

12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.

[tex](11x - 15) + (5x - 13) = 180[/tex]

[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]

13. <DBE and <CBE are complementary angles.

[tex]m \angle DBE + m \angle CBE = 90[/tex]

[tex](2x - 1) + (5x - 42) = 90[/tex]

[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]

14. Since QS bisects <PQR, therefore,

m<PQS = 1/2(PQR)

[tex]10x + 1 = \frac{1}{2} (82)[/tex]

[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]

15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.

[tex](x + 10) + (10x - 16) = 180\\[/tex]

[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]

Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,

[tex](10x - 61) = (10y + 5)[/tex]

[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]

16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,

[tex](5x - 17) + (3x - 11) = 180[/tex]

[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]

[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)

[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]

17. Since NP bisects <MNQ, therefore,

[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]

[tex]78 = \frac{1}{2}(8x + 12)[/tex]

[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]

[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)

[tex](3y - 9) + (8x + 12) = 180[/tex]

[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]

Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

Learn more here:

https://brainly.com/question/18963166

Answer:

y=3

Step-by-step explanation:

At the beginning of the story, Jimmy Valentine is eager to get back to his old ways. He packs his suitcase of “burglar’s tools” and leaves town. However, when he reaches Elmore, he falls in love with Annabel Adams. He “looked into her eyes, forgot what he was, and became another man.” His love for Annabel drives him to change his ways and live a decent life. He is able to change for the better for her.

Answer:

D

Step-by-step explanation:

Given that:

The expressions are [tex]3z−2, 2x^3+x-12, 9b, 9x-2[/tex].

Solution:

Monomial : It contains single terms.

Binomial : It contains two terms.

Trinomial :  It contains three terms.

Polynomial : It contains atleast one algebraic term.

Degree of polynomial : It is highest power of the variable.

[tex]3z-2[/tex] ,  here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.

[tex]2x^3+x-12[/tex] ,  here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.

[tex]9b[/tex] ,  here b is a constant. So, it is not a polynomial and it is a monomial.

[tex]9x-2[/tex] ,   here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.

Answer: 2z + 6

Step-by-step explanation: Distribute the 2 to z and 3.

Answer:

y = 15

Step-by-step explanation:

if y+15=30 we know that we need a total of 30, since we already have 15 y will also be 15

Answer:

y+15=30

y+15-15=30-15

y=15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The ribbons length goes highest to lowest from blue, red and yellow

Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)

Step-by-step explanation

ten plus x multiplied by seven is equal to fourteen divided by X

Answer:

  a) m∠ABD = m∠ABC

Step-by-step explanation:

The meaning of angle bisector is that each of the created angles is congruent to the other:

  m∠ABD = m∠ABC

Answer:

A: m∠ABD = m∠ABC

Answer:

445

Step-by-step explanation:

Multiply first the -56 and -8 (PEMDAS):

-56*-8+(-3)

448 - 3(negative × negative is positive)

=445

-56-8+(-3)

-56 -8 -3

Answer: (3x2 − 2x + 5)

Step-by-step explanation:

The other factor of the polynomial (3x+5) and (x-1).

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.

Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).

Using long division method, we get

2x+1|6x³-x²+8x+5|3x²+2x-5

    (-)6x³+3x²

_____________

          -4x²+8x+5

           4x²+2x

_____________

                 10x+5

                -10x-5

_____________

                     0

Now, the factors of quotient 3x²+2x-5 are

3x²+5x-3x-5

= x(3x+5)-1(3x+5)

= (3x+5)(x-1)

Therefore, the other factor of the polynomial (3x+5) and (x-1).

Learn more about the long division method here:

https://brainly.com/question/29258654.

#SPJ2

Answer:

you end up with 75 divided by 3.

Step-by-step explanation:

75 divided by 3 - 8 + 8

add 60 and 15

3 - 2(4) + 2^3

multiply -2 by 4

3 - 8 + 2^3

multiply 2 by itself 3 times

3 - 8 + 8 (which gives you 3 again)

and you get 75 divided by 3

hope it helps you .

this is the right answer.

Answer:

D. 50

Finding out the mean is actually pretty simple. All you have to do is add up the numbers, then divide that by how many numbers there are. For this graph, here's what you do:

35 + 40 + 45 + 50 + 55 + 60 + 65 = 350

Since there are seven numbers, you divide 350 by 7.

350 ÷ 7 = 50

And that's your answer! hope this helps

Steps to solve:

y + 8 = -11

~Subtract 8 to both sides

y = -19

Best of Luck!

Answer:

x < -2

Step-by-step explanation:

1. Original Inequality: 10 – 2(2x + 2) > 14

2. 10-4x-4>14

Distribute the -2 to 2x and 2.

3. Simplify the left side: 6-4x>14

Do 10-4

4. Subtract: -4x>8

Subtract 6 from both sides to get x by itself

5. Divide: x< -[tex]\frac{8}{4}[/tex]

You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.

6. Simplify: x< -2

7. Check:

10-2(2(-3) +2) > 14

10-2(-6 + 2)

10-2(-4)

10+8

18 > 14

Hello! :)

−4x + 6 > 14 Simplify both sides

−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides

−4x > 8

-4x/-4 > 8/-4 Divide both sides by -4

x < -2 (ANSWER)

Hope this helped you!

THEDIPER

the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on

Correct! Thanks. This really helped me on a question on my quick check!

Answer:

15 more jobs

Step-by-step explanation:

So you do 15 x 15 and that equals 225. Then you take 225 + 75 and that equals 300 so in total you just need 15 more jobs to get 300 dollars.

Answer:

A

Step-by-step explanation:

if X is 7, and is connected/touching the three. You have to multiply and 7×3=21

Answer: [tex]\frac{1}{\sqrt[3]{x} }[/tex]

Step-by-step explanation:

Since the base of the exponents are the same, we can go ahead and subtract the exponents.

[tex]\frac{x^{\frac{5}{6}} }{x^{\frac{7}{6} }}[/tex]               [subtract exponents]

[tex]x^{-\frac{2}{6} }[/tex]             [simplify exponent]

[tex]x^{-\frac{1}{3}}[/tex]             [write in radical form]

[tex]\frac{1}{\sqrt[3]{x} }[/tex]

Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

this is the correct answer

a)

[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]

b)

[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]

c)

[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]

Given:

On a number line, suppose the coordinate of A is 0, and AR = 9.

To find:

The possible coordinates of the midpoint of AR.

Solution:

Coordinate of A is 0, and AR = 9.

It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.

If coordinate of R is -9, then midpoint of AR is

[tex]\dfrac{0+(-9)}{2}=-4.5[/tex]

If coordinate of R is 9, then midpoint of AR is

[tex]\dfrac{0+(9)}{2}=4.5[/tex]

Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.