∠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

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OPEN ENDED QUESTION
What operation(s) should come first when
solving?

Answers

Answer:

Multiplication and Division unless there are parentheses

Step-by-step explanation:


Carlos designs the skateboard ramp shown in the diagram.
.132 in,
h
1220
Enter the height of the ramp (h), in inches. Round your answer
to the nearest whole inch.

Answers

Answer:

sin22⁰=h/132

sin22⁰×132=h

h=49.44

h=49.4inches

If length of ramp of skateboard is 132 inch and angle is 22° then height of ramp is 49 inch

What is a triangle ?

A triangle is a polygon with three edges and three vertices

Here in the given triangle

Perpendicular=h

Hypotenuse =132

angle=22°

So height of ramp can be calculated as

Sin 22°= Perpendicular/Hypotenuse

Sin 22°= h/132

h= 132[tex]\times[/tex]sin 22°

h= 132[tex]\times[/tex]0.37460659341

h=49.4480703301

[tex]h \approx49[/tex] inch

If length of ramp of skateboard is 132 inch and angle is 22° then height of ramp is 49 inch

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What is the circumference of the following circle?
IN
T1

Answers

Answer:

the circumstance of the circle is 6.2857

The results of a random sample of 1,000 people are recorded in Table 1. Use this data to answer the questions that follow.

people who wear corrective lenses 762
people who wear glasses: 638
people who wear contact lenses 124

What percentage of Americans would you predict wear corrective lenses?

Answers

Answer:

I think around [tex]\frac12[/tex] would be a fraction form. An exact form would literally one half 638 + 124 = 762       762 is equal to 762

Step-by-step explanation:

So therefore, 762 is your half and one half is your awnser

                                         I believe i'm right!      

A survey is conducted in order to collect a piece of specific information. The percentage of Americans who wear corrective lenses in America is 76.2%.

What is a survey?

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given the survey was taken for 1000 people, the number of people in this survey who wear corrective lense is 762. Therefore, the ratio of the people who wear corrective lense is,

Ratio = 762/1000 = 0.762 = 76.2%

Since the people in a survey represent the entire population, therefore, the percentage of Americans who wear corrective lenses in America is 76.2%.

Learn more about Survey:

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please show work for brainlist

Answers

$483.78

Step-by-step explanation:

21.99 times 22 = $483.78

write the next three terms of the arithmetic sequence.
5/6, 2/3, 1/2, 1/3, _, _, _,

i will mark as brainliest

Answers

The next terms are 1/6, 0, & -1/6.

A group of 5 friends went to the movies. A bag of popcorn costs $2.99. How much will it take cost to get one bag of popcorn for each friend

Answers

Answer:

this one is so simple add $2.99 5 times

Step-by-step explanation:

Answer:

14.95

Step-by-step explanation:

I guess you are assuming that one person is getting the popcorn for all 5 people including themselves. It's not worded the best way I've ever seen but that is the assumption I will make

So you multiply 5 * 2.99 = 14.95

Only for interest's sake, you could solve the question by multiplying by 5 * 3 dollars

5 * 3 = 15 dollars

You take off 5 cents because the actual cost is 2.99 and that is 1 cent below 3 dollars.

15.00 - 05 = 14.95  or a nickel less than 15 dollars.

Write the equation of the line that passes through the points (7,0)(7,0) and (7,6)(7,6). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

x=7

Step-by-step explanation:

have a great day :D

I WILL GIVE YOU BRIANLIEST!!!

4x^2+2x-9

What is the r s and q in quadratic formula?

Answers

Answer:

Wait... their is no r s and q in the quadratic formula....

Step-by-step explanation:

Pls Help me with this Question Its 8th Grade Math!

Answers

y = (2/3)x + 5

do change in y over change in x to find slope. So 2/3

y-intercept is where x=0, the y value is the y intercept. So 5

Please help ASAP!!!!

Answers

- 3/5

Step-by-step explanation:

1(y) = 1 x y

= 1 x (- 3/5)

= - 3/5

Figure EFGH is transformed to E’F’G’H’, as shown:

A coordinate plane is shown. Figure EFGH has vertices E at negative 5 comma 4, F at negative 5 comma 1, G at negative 3 comma 2, and H at negative 1 comma 6. Figure E prime F prime G prime H prime has vertices at E prime 7 comma 4, F prime 7 comma 1, G prime 5 comma 2 and H prime 3 comma 6.

Which of the following sequences of transformations is used to obtain figure E’F’G’H’ from EFGH?

Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Reflection about the y-axis followed by a translation right by 2 units
Reflection about the x-axis followed by a translation left by 2 units

Answers

Answer:

Reflection about the y-axis followed by a translation right by 2 units!

Step-by-step explanation:

I took the test and got it right, hope everyone that looks this up find the answer! <3

Answer:

Reflection about the y-axis followed by a translation right by 2 units

Step-by-step explanation:

:)

20 POINTS I need help ASAP

Answers

Answer:

Hello this might not be the answer u need but i hope u understand i need these points for a give away im doing soon so hope u dont mind, and also i dont think im in a high enough grade yet ;-; sorry!

Step-by-step explanation:

Calculate the area of the composite figure, which is
not drawn to scale.

Answers

488cm² is your answer

Step-by-step explanation:

the area of the composite figure=area of rectangle +area of triangle

=l×b+1/2 b×h=17×22+1/2×{22-10}×19 =488cm²


The length of a rectangle is 4 meters less than
wice its width. The area of the rectangle is 70.
Find the dimensions of the rectangle.

Answers

Answer:

280

Step-by-step explanation:

A 20-sided number cube is made up of equilateral triangles. Write and solve an equation to determine the value of x on the number cube shown.

Answers

Answer:

The answer is below

Step-by-step explanation:

Triangle is a polygon with three sides and three angles. Types of triangles are equilateral, scalene, isosceles and right angled triangle. An equilateral triangle is a triangle in which all its sides are equal to each other, thereby each of its three angles measure 60°.

From the image of the 20 sided number cube, we can see that the length of each side of the equilateral triangle measures 13 mm. Therefore to find x, we use the formula:

x + 3.8 = 13

x = 13 - 3.8

x = 9.2 mm

4. What is the slope of
the line?

Answers

the slope of the line is 3

What is the slope of this line?

Answers

Answer:

The slope is 1 because its rise over run is 1/1 which equals to 1. Its also a positive slope. Hope this helps!

the slope is 1 because it’s rise over run is 1/1 which is equal to one , also this is a positive slope

Solve for x.

1/6x + 2x3x + 4 = x + 2


A) X = 1
B) X = 6
C) X = 12
D) x = 36​​

Answers

Answer:

c 12

Step-by-step explanation:

Please help NO LINKS!!!! They are two different questions and i really need help!!!!!

Answers

Answer:

1: c

2: 114

Step-by-step explanation:

Answer:

Part 1 is C

Part 2 is B

Step-by-step explanation:

Part 1: First convert 35% into a decimal (.35)

Then convert it into a fraction ([tex]\frac{7}{20}[/tex])

Now convert 10% into a fraction (.10)

Convert into a fraction ([tex]\frac{1}{10}[/tex] or [tex]\frac{2}{20}[/tex])

Part 2: Convert 15% into a decimal (.15)

Multiply .15 by 760 (114)

114 students chose tea as a drink

Please help ASAP! I'll give brainliest!

Answers

Answer:

Step-by-step explanation:

Answer:

Hey, do you want to roleplay

Step-by-step explanation:

I can't solve, sorry.

Find f(-5) if f(n) = n^3 + 3n^2

Answers

Plug in -5 for n
-5^3 + 3(-5)^2
-125 + 3(25) = -125 + 75 = -50
f(-5) = -50

David has 6 pounds of peanuts. He wants to give each of his friends of a pound.
How many friends can receive of a pound of peanuts?
|
Explain your solution by using models and words or numbers.
What does the quotient represents in this problem?
.

Answers

I believe the answer is 6 friends can get a pound of peanuts

A crew of workers paved 3/15 of mile in 20 minutes. If they work at the same rate, how much of a mile will they pave in 1 hour

Answers

9/15 of a mile or 3/5 of a mile

explanation: since there are 3 sets of 20 minutes now an hour and they can pave 3/15 of a mile in an hour, you multiply the 20 minutes times 3 to get one hour, then multiply the numerator of 3/15 times 3 to get 9/15. then you simply. hope this helped :)

There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?

Answers

Answer:

Step-by-step explanation:

P(g=1) is equal to

1-P(g=0)-P(g=2)

P(g=0)=(7/12)(6/11)

P(g=2)=(5/12)(4/11) so

P(g=1)=1-(42/132)-(20/132)

P(g=1)=(132-42-20)/132

P(g=1)=70/132

P(g=1)=35/66

A basketball team scored 78 points in a game. The players made 6 baskets worth 1 point each and 27 baskets worth 2 points each. The rest of the baskets made were worth 3 points each. Which equation can be used to find b, the number of baskets the players made that were worth 3 points each?​

Answers

Answer: They made 6 three point shots.

Step-by-step explanation:

Make your equation

(((6x1)+(27x2)+(3x)=78

Simplify

(6+54+3x=78)

60+3x=78

Subtract from both sides

3x=18

Divide from both sides

x=6

The basketball team scored 6 shots worth 3 points.

The number of baskets the players made that were worth 3 points each is 6 and the equation used for this is, total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3.

What is the equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

Total scored by the team = 78 points,

The number of 1-point baskets = 6,

The number of 2-point baskets = 27,

If b is the number of 3-point baskets, the equation can be given as,

Total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3

78 = 6 × 1 + 27  × 2 + b  ×3

b = 6

Therefore, the number of baskets the players made that were worth 3 points each is 6.

To know more about equation:

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Can someone plz help me

Answers

Answer:

Step-by-step explanation:

First, prove that triangle ABX is congruent to ACX.

By the reflexive property of Congruence AX=AX.

By SSS, triangle ABX is congruent to ACX.

By the CPCTC Theorem Angle BAX is equal to angle CAX.

By the definition of an angle, bisector AX bisects angle BAC

If this helped please consider giving brainliest.

please help! will give brainliest, 15 points

Answers

Answer:

Step-by-step explanation:

i need the points sorry dude!

Answer:

3*(4+5)-6=21

4*(3+2)-8=12

Step-by-step explanation:

45% of c is 90.
Find the value of c.

Answers

Answer:

200 = c

Step-by-step explanation:

100/45=2.2.

2.2x90= 200.

(x - 1)-+ x (1 - x)
-
-(1+x)
--x-1
is it correct?

Answers

ya i think that it would bee
Ya I think it is correct
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