∠A and \ angle B∠B are complementary angles. If m\angle A=(x+8)^{\circ}∠A=(x+8) ∘ and m\angle B=(8x+1)^{\circ}∠B=(8x+1) ∘ , then find the measure of \angle A∠A.

Answers

Answer 1

Answer: [tex]17^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle A=(x+8)^{\circ}[/tex]

[tex]\angle B=(8x+1)^{\circ}[/tex]

Angle A and B are complementary i.e. sum of the two must be [tex]90^{\circ}[/tex]

[tex]\Rightarrow \angle A+\angle B=90^{\circ}\\\Rightarrow x+8+8x+1=90^{\circ}\\\Rightarrow 9x=90-9=81^{\circ}\\\Rightarrow x=9^{\circ}[/tex]

[tex]\therefore \angle A=x+8^{\circ}=9+8\\\Rightarrow \angle A=17^{\circ}[/tex]


Related Questions

HELP HELP PLEASE!! D:

Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!

Answers

2 root 10 bfngjtejrahtwhw

Help 10 points picture included

Answers

Connect the arrows with a straight line

When two rays have a common _________, they form a(n) _________.
A
vertex, angle

B
angle, vertex

C
angle, line segment

D
vertex, line segment

(this is for 7th grade by the way)

Answers

The answer is A, vertex, angle

—Evidence—
•] the two rays are connected at a common endpoint, called a vertex. This forms the angle. An angle is named by points on the rays.
The answer is A hope that helps!

Find the length of side x.
Give your answer to 1 decimal place.
105°
18 cm
15 cm
Х

Answers

26.2 is your answer

Type the expression that results from the following series of steps:
Start with y, add 7, multiply by 3, then subtract 6.​

Answers

Answer:

3y-4

Step-by-step explanation:

y+7×3-3

(y×3)+7-3

3y-4

what's the value of
[tex] = > 25 \times 386 + 3219 \div 2[/tex]

Answers

Answer:

11259.5

Step-by-step explanation:

25 × 386 + 3219 ÷ 2 = 9650 + 1609.5 = 11259.5

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

if theres 20 desks in 5 classes,What does it equal?

Answers

Answer:

100

Step-by-step explanation:

A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?

Answers

Answer:

23

Step-by-step explanation:

The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23

What is the Interquartile range?

An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.

The formula to calculate interquartile range is:

IQR = Q₃ - Q₁

where;

Q₃ is third quartile

Q₁ is first quartile

The given points when arranged in increasing order gives us:

13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27

Q₁ is the (n + 1)/4 terms = 3rd term.

Thus; Q₁ = 17

Q₃ is 3(n + 1)/4 term = 9th term.

Thus; Q₃ = 24

Then; IQR = 24 - 17

IQR = 7

The desired interquartile range should decrease by 1 point. Thus;

Desired IQR = 7 - 1 = 6.

To find the score of the 12th game, let us try  23 points as the score of the 12th game:

Thus;

Q₁ = 17.5

Q₃ = 23.5

IQR = 23.5 - 17.5

IQR = 6

Thus, required number of points is 23.

Read more about Interquartile Range at; https://brainly.com/question/3859769

PLEASE HELP!!!!!

find the area of the polygon.

Answers

Answer:

2 cm is were youll find the polygon at. it shouldnt be hard to see the area of were the polygon is

Answer:

208 cm²

Step-by-step explanation:

14 cm × 16 cm = 224 cm²

14 cm - 6 cm = 8 cm

8 cm × 2 cm = 16 cm²

224 cm² - 16 cm² = 208 cm²

Mary is buying a case of water. She spends $7.99 for a case of 24 bottles. What is the unit rate? (Cost for 1 bottle) *

Answers

Answer:

so I'm not 100% sure but in these types of questions you are supposed to divide

so you have a pack of 24 bottles for 7.99

so you would do 7.99÷24 = 0.33

then to check it you can multiply

0.33× 24 bottles and it gives you 7.93 which is super close to 7.99 anyway I hope this helps ...

Question how do I find the value of x?​

Answers

Answer:

20

Step-by-step explanation:

The total degrees in a circle is 360 degrees

x+40+2x+110+3x+90 = 360

==> 6x = 120

x = 20

Answer:

The answer would be x=20

Maths homework volumes anyone can help?

Answers

Answer:

1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......

Step-by-step explanation:

look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9

b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5

c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearly

A circular garden has a diameter of 10 yards. What is the area of
the garden? Use 3.14 for iz


HELPPP?? ASAPP???

Answers

Answer:

Step-by-step explanation:

you do 10/2 for the radius, so that will be 5. then you do 3.14*5*5= 78.5

Pls help I don’t understand

Answers

Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.

I think of a number I double it and subract two I get nine​

Answers

Answer:

5.5

Step-by-step explanation:

Let [tex]x[/tex] be equal to the number.

1) Convert the clues into an equation

If you double it ([tex]2x[/tex]) and subtract two ([tex]-2[/tex]), you get 9 ([tex]=9[/tex]).

[tex]2x-2=9[/tex]

2) Solve the equation

[tex]2x-2=9[/tex]

Add 2 to both sides

[tex]2x-2+2=9+2\\2x=11[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{11}{2} \\x=5.5[/tex]

Therefore, the number is 5.5.

I hope this helps!

ramon has 6.75 kg coffee. he wants 0.25 kg bags. how many bags does he need?

Answers

Answer:

Ramon would need 27 bags

Step-by-step explanation:

This is because if you divide 6.75 by 0.25 you would get 27

Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.

Total weight of coffee = 6.75 kg

Weight of each bag = 0.25 kg

Number of bags = Total weight of coffee / Weight of each bag

Number of bags = 6.75 kg / 0.25 kg

Calculating this division, we find:

Number of bags = 27

Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To know more about bags click here :

https://brainly.com/question/31760907

#SPJ2

Find the area and perimeter of a rectangle that has a length of (x + 24) and (x + 16). Show all work for full credit.

Answers

Answer:

Perimeter of rectangle = 4x + 80

Area = x² + 40x + 384

Step-by-step explanation:

Perimeter of rectangle = 2*(length + width)

                                      = 2* (x + 24 + x + 16)

                                      = 2*( x +x + 24 + 16)    {Combine like terms}

                                      = 2* (2x + 40)

Use Distributive property : a*(b +c) = a *b + a*c

                                     = 2*2x + 2*40

                                     = 4x + 80

Area of rectangle = length * width

                             = (x + 24) (x + 16) {use FOIL method}

                            = x*x + x*16 + 24*x + 24*16

                             = x² + 16x + 24x + 384  {Combine like terms}

                             = x² + 40x + 384

A telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members. The company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan. The number of phone subscribers x months after the plan was launched is modeled by the function below.

Answers

Answer:

450 x (1 + 0.5) ^ X = Phone subscribers

Step-by-step explanation:

Since a telecommunications company in a small town had 450 phone subscribers before they introduced a plan for newly joining members, and the company recorded an approximate 50% increase each month in the number of new phone subscribers, where they had one new subscriber at the start of the plan, to determine the number of phone subscribers x months after the plan was launched, the following function must be considered and solved:

450 x (1 + 0.5) ^ X = Phone subscribers

So, for example, in 3 months, the number of subscribers would be the following:

450 x (1 + 0.5) ^ 3 = 1,518.75

Thus, in 3 months, the company would have 1,518 subscribers.

If (x²- 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
(x + 2)x____= x² - 4
O x² – 4
OX-2
O x + 2
O x²-2

Answers

Answer:

x-2

Step-by-step explanation:

(x+2)× ___=(x+2)(x-2)

___=(x+2)(x-2)/(x+2)

___=x-2

The polynomial which should be filled in the blank is (x - 2).

What are Polynomials?

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given that,

x² - 4 = (x + 2) (x - 2).

We have to find the blank space.

By commutative property, the other side is also equal.

That is,

(x + 2) (x - 2) = x² - 4

Hence the correct option is (x - 2).

Learn more about polynomials here :

https://brainly.com/question/11536910

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Edgar and his older sisters, Diana and Katy, are going to visit their grandmother. Edgar is too young to drive, so Diana and Katy each drive the same amount of time to complete the 5-hour trip. How long does each of Edgar's sisters drive?

Answers

Answer:

2.3 hours or 2 hours and 30 minutes thinkkk

Resolver para u.
10u= bu + 20
Simplificar la respuesta tanto como sea posible.
U =
.
.
x 5 ?

Answers

10u = bu + 20
10u-bu=20
u(10-b)=20
u=20/(10-b)

The line L1, is y= 5x+1
The line L2, is 2y-10 +3=0
Show how these 2 lines are parallel

Answers

Answer:

Step-by-step explanation:

L₁: y = 5x + 1

Slope of L₁ = 5

L₂: Did you mean 2y - 10x +3 = 0 ?

2y = 10x - 3

y = 5x - 1.5

Slope of L₂ = 5

L₁ and L₂ have the same slope, so the lines are parallel.

The graphs of linear functions f and g are shown on the grid below.



Which function is best represented by the graph of g?

Answers

Answer: g(x)=3f(x)

Step-by-step explanation:

So we know it isnt a translation. Which eliminates the first 2 answer choices. So its between the last 2. If it were 1/3 the grap would have been steeper.

I hope this helps!

hiii please answer !!

Answers

Answer:

21 and 35

Step-by-step explanation:

Prime factorization of 21 is 3*7

Prime factorization of 35 is 5*7

Answer:

21 and 35

Step-by-step explanation:

Combine like terms to simplify the following expression:
12x + 4y - 3x + 2 - 8y2 + 3^2

Answers

Answer:

−8y^2+9x+4y+11

Step-by-step explanation:

=12x+4y+−3x+2+−8y^2+9

Combine Like Terms:

=12x+4y+−3x+2+−8y^2+9

=(−8y^2)+(12x+−3x)+(4y)+(2+9)

=−8y^2+9x+4y+11

Good luck <3

Answer:

-8y^2+9x+4y+8

Step-by-step explanation:

^ refers to squared in my answer

Do all circles have all right angles?

Yes or no​

Answers

Answer:

They do

Step-by-step explanation:

Both have 4 90 degree (right) angles.

A triangle has 3 sides and 3 angles. The angles of a triangle always add up to 180 degrees.The “angle” of a circle is 360 degrees – all the way around.

Hope this helps (Sometimes i think circles don't have any angles at all)

I need help with this

Answers

i can’t really see sorry could you take a better picture?

30 points !!!!!!! math

Answers

Answer:

uhm. picture?

Step-by-step explanation:

Answer:

u didnt add it

Step-by-step explanation:

I NEED HELP ASAP! PLEASE!!!

Answers

The mean is 5
75/15=5

Someone please please help

Answers

Answer:

The amount of apples is the Xs and The cost is the Ys

Step-by-step explanation:

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