∠A and \angle B∠B are vertical angles. If m\angle A=(3x+26)^{\circ}∠A=(3x+26) ∘ and m\angle B=(x+20)^{\circ}∠B=(x+20) ∘ , then find the value of x.

Answers

Answer 1

Answer:

The value of x is -3

Step-by-step explanation:

The vertical angles are equal in measures

∵ ∠A and ∠B are vertical angles

→ By using the rule above

m∠A = m∠B

∵ m∠A = (3x + 26)°

∵ m∠B = (x + 20)°

→ Equate their measures

3x + 26 = x + 20

→ Subtract x from both sides

∵ 3x - x + 26 = x - x + 20

∴ 2x + 26 = 20

→ Subtract 26 from both sides

∵ 2x + 26 - 26 = 20 - 26

∴ 2x = -6

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{-6}{2}[/tex]

x = -3

The value of x is -3


Related Questions

Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

Answers

Answer:

It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.

4x−2(3x−4)+4=−x+3(x+1)+1

Step 1: Simplify both sides of the equation.

4x−2(3x−4)+4=−x+3(x+1)+1

4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)

4x+−6x+8+4=−x+3x+3+1

(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)

−2x+12=2x+4

−2x+12=2x+4

Step 2: Subtract 2x from both sides.

−2x+12−2x=2x+4−2x

−4x+12=4

Step 3: Subtract 12 from both sides.

−4x+12−12=4−12

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Answer:

x=2

Answer:

it is in order to combine like terms on one side of the equation, the inverse operations must be used

Step-by-step explanation:

trust me I took it on edge

3125x=−62 value of x.

Answers

Answer:

x= -0.01984

Step-by-step explanation:

You divide both sides by 3125 to get x alone.

You get x=-0.01984

Hope this helps!

If a video game was 10% off and the amount of the discount was $6 what was the original price?

Answers

Answer: the original price was $60! <3

Step-by-step explanation:

What is the domain and range please?

Answers

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Which set of values could be the side lengths of a 30-60-90 triangle? A. {5,10,10 sqrt 3} B. {5,5 sqrt 2 ,10} C. {5,5 sqrt 3, 10} D. {5,10,10 sqrt 2}

Answers

9514 1404 393

Answer:

  C. {5, 5√3, 10}

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

Multiplying these ratios by 5 gives the set of side lengths ...

  (5, 5√3, 10)

Answer: 5, 5√3, 10

Step-by-step explanation:

can someone please help me .. will mark brainliest !

Answers

Answer:

a

Step-by-step explanation:

i don't really know just Draco told me i should answer this

The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

Answers

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

Solving for n:

2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44

So the numbers are 44 and 46

Solve for x.
(1/9)^x=27^x/9^2x-1

Answers

Answer:

x=-2

Step-by-step explanation:

Can someone help me with geometry??

Answers

Answer:

B

Step-by-step explanation:

Simplify the expression
(-a)^-18

Answers

Answer: it is the first option in the photo so A

HELP ME ASAP PLEASSSSE?!?!
What is the measure of A?

Answers

Answer:

D. 50

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

180-130=50

Can somebody help me with this please?

Answers

its an eqilateral triangle. they are always “positioned” at 180 degrees.

Solve: -9/10 + p = 1/5

Answers

Answer:

p=11/10

Step-by-step explanation:

Answer:

p=-55

Step-by-step explanation:

7(1 - x) = -3(x - 2)

Answers

Answer:

the answer is x= 1/4 :D .....

Answer: bro its x=1 over 4

Step-by-step explanation:

a line passes through 8,-8 and has a slope of -5/4, write an equation in slope intercept form for this line

Answers

Answer:

y = -1.25x +2

Step-by-step explanation:

Using Point-Slope formula we can create an equations.

y - y1 = m(x - x1)

substitute:

y + 8 =-5/4(x - 8)

-5/4 = -1.25

y + 8 = -1.25 ( x - 8)

Distribute:

y + 8 = -1.25x + 10

subtract 8 from both sides:

y = 1.25x + 2

Hope this helps!

Which is the graph of the function f(x) = 1/2x2+2x-6?

Answers

Answer:

This is how the graph would look like

Step-by-step explanation:

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.

What is plotting of graph of a function?

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.

When x = 0, y = -6

Coordinate = (0, -6)

When y = 0,   [tex]0.5x^{2} + 2x - 6 = 0[/tex]

[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]

Coordinates = (2,0), (-6,0)

Abscissa of vertex of graph = -b/2a = -2

Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8

coordinate = (-2, -8)

Learn more about plotting graph of a function here

https://brainly.com/question/9834848

#SPJ2

Three friends grow groups of sunflowers.
Some think that Anna’s flowers are the tallest because the mean height of her flowers is the greatest.
Others think Anna’s flowers are the shortest because the median height of her flowers is the least.

The plots show the heights for each friend’s flowers.

Which is the most likely plot for Anna’s flowers?

Answers

Step-by-step explanation:

es la numero     3

Answer:

Option 3 is the most common plot for Anna’s flowers

29% of 100 tiles is how many tiles

Answers

Answer:

29

Step-by-step explanation:

ez

Answer:

29

Step-by-step explanation:

29% of 100

= 29/100 *100

= 29

someone please please helppp... I need to submit this ttoday..I will mark you the brainliest

Answers

Problem 3

I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.

=============================================

Problem 4

To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.

(3x+7)^2 - 84x = (3x-7)^2

(3x+7)(3x+7) - 84x = (3x-7)^2

(9x^2+21x+21x+49) - 84x = (3x-7)^2

9x^2+42x+49-84x = (3x-7)^2

9x^2-42x+49 = (3x-7)^2

(3x-7)^2 = (3x-7)^2

The two formulas

(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2

may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49

=============================================

Problem 5

x + 1/x = 11

a + b = 11 .... where a = x and b = 1/x

(a+b)^2 = 11^2

a^2 + 2ab + b^2 = 121

x^2 + 2*x*(1/x) + (1/x)^2 = 121

x^2 + 2 + 1/(x^2) = 121

x^2 + 1/(x^2) = 121-2

x^2 + 1/(x^2) = 119

An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.

Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.

25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60

Answers

Answer:

35+5x<_60

Step-by-step explanation:

x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget

what the last guy was trying to say is

25 + 5x ≤ 60

btw this is correct i just did the test

Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.

Hi please answer urgently

Answers

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

A rope is wound round s drum of diameter 21cm is attached to a bucket that is resting at the bottom of a well in depth 9.89 m. Find the number of turns required to bring up the bucket such that the bottom of the bucket is suspended just above the mouth of the well

Answers

Answer:

15

Step-by-step explanation:

Depth of well = No. of turns × length of one turn

Given:   Depth of well = 9.89m = 989cm          [1m = 100cm]

Let number of turns be x

Length of one turn = 2πr or π×diameter

Now , 989=x×π×21

989=x×(22/7)×21

x=989×7/(22×21)

x=14.98 ≈15 turns    

[Number of turn never be in decimals]

Hence number of  15 complete turns of the handle required to bring up the bucket

evaluate the expression for the give value of the variable.
3d — 4
d = 1.2

Answers

Use substitution
3(1.2) - 4
3.6 - 4 = -0.4

If correct will mark brainliest!!!!!

Answers

Answer:

Step-by-step explanation:

1 - right triangle

2 - Acute triangle

3 - Acute triangle

4 - Obtuse triangle

5 - Acute triangle

Answer:

1. right

2. obtuse

3. acute

4. obtuse

5. acute

Step-by-step explanation:

A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of 18 frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?

Answers

Answer:

$0.11 per frozen fish stick

Step-by-step explanation:

If a package of 18 fish sticks cost $1.95, to find the cost per frozen fish stick you need to divide $1.95 by 18

$1.95 / 18 frozen fish stick = $0.108 or $0.11 per frozen fish stick

Helpp plzzz!! Identify the corresponding side to side MN.

Answers

Answer:

st i think

Step-by-step explanation:

Answer:

I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?

HELP ASAP!!! determine how if possible the triangles are similar​

Answers

Answer:

d not simlar just letting u know ur getting it wrong

Step-by-step explanation:

Answer:

I think A or C would be the answer! Hope this helped a little!!

Are these answers right or some wrong? If some wrong plz answer them correct thanks!

Answers

You are wrong.

1, 2, 3 and 4 are correct.

5. 75%

6 is also correct

7. 100%

8. 50%

No they aren’t, you got most right:)

I Tried 140 And 80. Those answer were incorrect. Right Answer gets 5 stars and a branliest. THANK YOU SO MUCH!!

Answers

Answer:

a 60

Step-by-step explanation:

Answer:

The Answer Is 60 I Had This Test Already.

Step-by-step explanation:

67,132 divided by 7= ?
Round your answer to the nearest tenth.

Answers

Answer:

DONE!

Step-by-step explanation:

67132/7 = 9590.28571429

Rounded to the nearest tenth: 9590.3

Answer:

9590.3

Step-by-step explanation:

finally got to answer lol

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