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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

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Answer:

Www

Step-by-step explanation:

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

The answer is all real numbers

Step-by-step explanation:

Simpify both sides of the equation: 14−(2y+5)=−2y+9

14+−1(2y+5)=−2y+9(Distribute the Negative Sign)

14+−1(2y)+(−1)(5)=−2y+9

14+−2y+−5=−2y+9

(−2y)+(14+−5)=−2y+9(Combine Like Terms)

−2y+9=−2y+9

−2y+9=−2y+9

Then add 2y to each side. −2y+9+2y=−2y+9+2y

9=9. Then subtract 9 from each side. 9-9=9-9=0. That means that all real numbers is the answer.

Hey there!

[tex]Answer:\boxed{\text{All are solutions}}[/tex]

[tex]Explanation:[/tex]

[tex]14-(2y+5)=-2y+9[/tex] Equation

14−(2y+5)=−2y+9 Simplify both sides

14 + -1(2y + 5) = −2y + 9 Distribute Negative

14 + -1(2y) + (-1)(5) = -2y + 9

14 + −2y + −5 = −2y + 9

(−2y) + (14 + −5) = −2y + 9 Combine the like terms

−2y + 9 = −2y + 9

-2y + 9 + 2y = -2y + 9 + 2y Add 2y to both sides

9 = 9

9 - 9 = 9 - 9 Subtract 9 from both sides

0 = 0

All are solutions.

Hope this helps!

Answer:

177.2 i think

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because rational numbers don't continue as a decimal infinitely

Answer:

=(4)(-7)(-2)

=-28*(-2)

=+56 is the answer

Step-by-step explanation:

hope it help ^_^

Answer:

23 games

Step-by-step explanation:

40.75 divide by 1.25 comes out 23.28

Answer:

g<32.6

Step-by-step explanation:

1.25g+14.25<55

1.25g+14.25-14.25<55-14.25

1.25g<40.75

1.25g/1.25<40.75/1.25

g<32.6

Answer:

36, 49

explanation:

The pattern in this series is going by perfect squares:

From this, we can tell the next 2 numbers in the series will be:

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13

Answer:

yea your correct and 16.5

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

???

w = 10 feet

Area formula

A = l×w

120ft² = 12ft×w

w = 120ft²/12ft

w = 10 feet

Answer:

P = 12

Step-by-step explanation:

Given formula for the perimeter 'P' of a rectangle is,

P = 2L + 2W

If the values of L and W are,

L = 4 and W = 2

Perimeter of the rectangle = 2(L + W)

                                            = 2(4 + 2)

                                            = 2 × 6

                                            = 12 units

Therefore, value of remaining variable 'Perimeter' = 12 units

(There is no use of 'pi' in calculating the perimeter of a rectangle).

Answer:

you know what to do that is the soup for the next couple of weeks and see how much is a ps4 controller or an official at the lot of the boy's

Answer: commutative property of addition

Step-by-step explanation:

(a+b)+c=a+(b+c) -- Commutative property of addition

Commutative property of addition is when the numbers are added, the sum are the same, regardless of the order of numbers.

Hope this helps!! :)

Please let me know if you need further explanation with properties of addition.

Answer:

-22

Step-by-step explanation:

g(2-1)=g(1)=(2-g(2))/8=3

2-g(2)=24

-g(2)=22

g(2)=-22

Answer:

translation

Step-by-step explanation:

shape, size, measurement all stayed the same. they just moved locations :)

n = 2

My picture shows my work :)

Answer:

NOO

Step-by-step explanation:

In order for an equation to be quadratic, the highest degree that is needed is two. The highest exponent provided is 3 therefore no it is not a quadratic function

Answer:

....

Step-by-step explanation:

Answer:

X= 62 Y=620

Step-by-step explanation:

Y is right because its ten times more than x and x is right because you take the three side and you multiply each one by 2 then you add then all together and you get 62.

Can i be made brainliest i need it

Answer:1. 0.35. 0.35

Step-by-step explanation:

I did the question on edgenuity

The change for each consecutive time given is: 1

The change of each consecutive height given is: 0.35

The rate of change for the relationship between time and height is: 0.35

The table that displays the height of water when a pool is being filled against time is shown in the image attached. (See attachment).

Recall:

Rate of change can be calculated as: change in output / change in input

Change in output = difference between consecutive outputs

Change in input = difference between consecutive inputs

In the question given,

Time is input

Height is output

Thus:

Change for each consecutive input (time):

Therefore, the change of each consecutive input (time) is: 1

Change for each consecutive output (height):

Therefore, the change of each consecutive output(height) is: 0.35

Rate of change of the relationship between time and height:

Rate of change = change in height / change in time

Rate of change = 0.35/1 = 0.35

In summary:

The change for each consecutive time given is: 1

The change of each consecutive height given is: 0.35

The rate of change for the relationship between time and height is: 0.35

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Answer:

6.11

Step-by-step explanation:

First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5

[tex]3^{2} + 12 = 9 + 12 = 21[/tex]

The answer is 21.

Answer:

The correct answer is 21.

Step-by-step explanation:

To solve this problem, we simply substitute 3 for a in the expression.

Given the expression,

a^2 + 12

we should replace "a" with 3, as denoted by the problem, giving us:

(3)^2 + 12

Now, we simplify using the order of operations.  PEMDAS tells us that we should simplify what is in the parentheses first because it has an exponent.

9 + 12

Now, we can just add the two remaining terms together, giving us:

21

Therefore, the answer is 21.

Hope this helps!

Answer:

Felipe work for 6 hours to earn $54

Step-by-step explanation:

I guess I was help full for u

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B. NPO

Because P is the middle letter in the arc.

Answer: B. NPO

Step-by-step explanation: the angle has to be in middle