The ratio of the measures of two supplementary angles is 6:9. Find the measure of the larger angle.

Answers

Answer 1

Answer:

Sum of supplementary angles is 180°

6x+9x=180

15x=180

x= 12

9x=108°

Step-by-step explanation:

Answer 2

The supplementary angles having ratio 6:9 are 72° and 108°.

What are supplementary angles?

Supplementary angles are those angles which is having sum of 180 degrees. Opposite of supplementary angles are complementary angles.

How to find angles?

We have been given that the ratio of two supplementary angles is 6:9. So, the angles are 6x and 9x. According to question and definition of supplementary angles we can write the angles in the following form:

6x+9x=180°

Now find the sum of left side and put it equal to 180.

15x=180

x=180/15

x=12

Putting in the values of angles we will find the following:

Angle 1=6x=6*12=72°

Angle 2=9x=9*12=108°.

Hence the supplementary angles having ratio 6:9 are 12° and 108°.

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Related Questions

Which of the following matches this tape diagram will have BRAINLIEST BADGE

Answers

Answer:

Your answer is -5n=1.75

A fund-raiser at the school raises $617.50. They sent $580.45 to local charities. What percent of the money went to charities?

Answers

Answer:

94% of the money went to charities.

SOMEONE PLZ HELP?!!!!

Answers

Answer:

y = -1/2

Step-by-step explanation:

5^3 = (5^-2)^y-1

3 = -2(y-1)

3 = -2y + 2

1 = -2y

y = -1/2

Solve using substitution. I know that the answer is (1,1), but I have to show my work and I forgot how to do it.

Answers

If y = -x + 2, then substituting this into the first equation lets you solve for x :

x + 4y = 5

x + 4 (-x + 2) = 5

x - 4x + 8 = 5

-3x = -3

x = 1

Now solve for y :

y = -x + 2 = -1 + 2 = 1

So the solution is indeed (x, y ) = (1, 1).

What are the domain and range of f(x) = 2|x – 4| + 3 ?

Answers

☁️ Answer ☁️

I think it's the second one.

Hope it helps.

Have a nice day hyung/noona!~  ̄▽ ̄❤️

The corporate office building is 50m high and angle of elevation at top of building is 52° when seen from a point on level ground. The distance between point and foot of the building is

Answers

Answer:

39.06 m

Step-by-step explanation:

Given that,

Height of the building, h = 50 m

The angle of elevation at top of building is 52° when seen from a point on level ground.

We need to find the distance between point and foot of the building. Let the distance be d. Using trigonometry to find it. So,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular

B is base.

So,

[tex]\tan\theta=\dfrac{h}{d}\\\\d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{50}{\tan(52)}\\\\d=39.06\ m[/tex]

So, the distance between point and foot of the building is 39.06 m

Applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Recall:

SOH CAH TOA are the common trigonometry ratios that can be used to solve a right triangle.

The information of the building has been sketched in the diagram shown in the image attached below. It shows a right triangle.

The distance between the point on the ground and the foot of the building = x (adjacent)Reference angle (∅) = 52°Opposite side = 50 m

Apply the trigonometry ratio, TOA:

tan ∅ = opposite/adjacent

Substitute

tan 52 = 50/x

x = 50/tan 52

x = 39.1 m

Therefore, applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.

Learn more about trigonometry ratios on:

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Carl is choosing a four-character password for his cell phone. The password can contain letters and digits only, and can't include repeating characters. How many passwords are possible?​

Answers

Answer:

Step-by-step explanation:

i feel like it would be (4)(4)(4)(4)(4)(4)(4)(4) = 65536

The number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of  [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

For this case, we assume that:

"Letters" are denoting uppercase and lowercase english alphabets (26 uppercase, and 26 lowercase, so total 52 such letters).

And digits are denoting (0,1,2,3,4,5,6,7,8,9) so total 10 such digits.

Thus, total 52+10 = 62 different choices to choose from.

Of these 62 options, we can use one letter only one time in a password.

Choosing any 4 characters out of those 62 characters is done in:

[tex]^{62}C_4 = \dfrac{62 \times 61 \times 60 \times 59 \times 58!}{4 \times 3 \times 2 \times 1 \times 58!} = 557845[/tex] ways.

Each of those 4 selections have distinct characters, and in a password, their arrangement matters, so each of  those 557845 choices can be permuted in 4! ways.

Thus, total number of distinct 4 digit password out of 52 english letters and 10 digits is [tex]4! \times 557845 = 24 \times 557845= 13388280[/tex] ways. (or we could've directly evaluated [tex]^{62}P_4[/tex]

Thus, the number of different four digit passwords that are possible if we use letters and digits only, and can't include repeating characters is 13,388,280 ways.

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A pair of jeans is marked up 20% on the original price. The original price was $50. What is the sale price of the pair of jeans before sales tax?

Answers

Answer:

20% of $50 is $10. This means that the pair of jeans now cost $60 since it got marked up.

Step-by-step explanation:

Please help me please please ASAP ASAP please ASAP

Answers

Answer:

46

Step-by-step explanation:

Take 8.

None of the equations work for 8.

Next, take 1.

None of the equations work for 1 either.

Third, take 15.

None of the equations work for 15 either.

Lastly, take 46.

The equations fit perfectly.

Hope that helps!

-5-²
[tex] - 7 \div 14[/tex]

Answers

-0.5

I solved the down one
Best luck with your studying

Does this graph show a function?

Answers

Answer: a

Step-by-step explanation:

Answer: B No; the graph fails the vertical line test

Step-by-step explanation:

Just took the test

can someone pls help me?? I’m so bad at math

Answers

Answer:

the first one is y=x-1/2 and the second one is y=-3x+1

Step-by-step explanation:

PLEASE HELPPPPP!!!!!

Answers

The answer is C!!!!!!

Find the Selling Price.
Cost to store $90
Markup 100%
Selling Price:

Answers

Answer:

Selling Price= $180

Step-by-step explanation:

100%×90=90

90+90=180


What is the equation of the graph shown?

Answers

Answer:

Please take a photograph of the graph.

Which expression should replace the box to finish the expanded form of 387.926?

a: 2 * 1/10
b: 0.02
c: 20
d 20 * 1/10

Answers

Option A. 2*1/10 is the answer.

Please help me with the question please ASAP ASAP

Answers

156

Especially since the shape is convex


Answer:

2340

Step-by-step explanation:

Since, the formula for finding sum of interior angles of a polygon is :

(n-2) × 180° [Where 'n' denotes number of sides]

Hence,

Sum of interior angles of a pentadecagon is ,

(15 - 2) × 180°

= 13 × 180°

= 2340°(Ans)

philip has 11 coins that equal a total of 82 cents. His coins include at least 1 quarter 1 dime 1 nickel and 1 penny. how many of each coin does he have

Answers

Answer:

Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

Step-by-step explanation:

Given that Philip has 11 coins that equal a total of 82 cents, and his coins include at least 1 quarter 1 dime 1 nickel and 1 penny, to determine how many of each coin does he have the following calculation must be performed:

Quarter = 0.25

Dime = 0.10

Nickel = 0.05

Penny = 0.01

0.82 - 0.25 - 0.10 - 0.05 - 0.01 = 0.41

0.41 = 0.10 x 4 + 0.1 (5 coins + 4 previous coins = 9 coins).

0.41 = 0.10 x 2 + 0.05 x 4 + 0.01 (7 coins + 4 previous coins = 11 coins).

0.25 + (3 x 0.1) + (5 x 0.05) + (2 x 0.01) = X

0.25 + 0.30 + 0.25 + 0.02 = X

0.82 = X

Thus, Philip has 1 Quarter, 3 Dimes, 5 Nickels, and 2 Pennys.

70x + 25 = 50x +75
How many hours of service do the services cost the same?

Answers

Answer:

2.5 hours

Step-by-step explanation:

70x+25=50x+75

step 1 subtract 25 from each side

25-25 cancels out

75-25=50

Now we have

70x=50x+75

step 2 subtract 50 from each side

70x-50x=20x

50x-50x cancels out

now we have

20x=50

step 3 divide each side by 20

20/20 cancels out

50/20=5/2 or 2.5

so we can conclude that it will take 2.5 hours of service for the services to cost the same

Hello, can someone please assist me with this question?

Answers

Answer:

9

Step-by-step explanation:

Hey There!

If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50

So all we have to do is set up an equation

z+50=30+6x-45

step 1 combine like terms

30-45=-15

now we have

z+30=6x-15

step 2 add 15 to each side

-15+15 cancels out

30=15=45

now we have

z+45=6z

step 3 subtract z from each side

z-z cancels out

6z-z=5z

now we have

45=5z

step 4 divide each side by 5

5/5 cancels out

45/5=9

z=5

so we can conclude that z=9

hope this helps :)

Urgent, pls help me!!!​

Answers

Answer:

Radius: 2

Center: (-3, 1)

PLEASE HELP WHAT IS 8x < 48

Answers

Answer:

x<6

Step-by-step explanation:

Answer:

Yellow

Step-by-step explanation:

5. Mr. Garcia goes to Gamestop (again) to buy some video games. All the games he bought are on sale for $5 discount off each game. He bought 2 games and spent $100.50. What was the ORIGINAL PRICE of the games?​

Answers

Answer:

110.50 dollar

Step-by-step explanation:

As each game has 5 dollar discount, he bought 2 games, so 2*5 = 10 dollar discount, so the original one is 100.50 + 10 = 110.50 dollar.

If you find it is helpful plz give Brainliest

PLEASE HELP DUE TODAY

Answers

Answer:

Five plus the difference of seventeen and eight

Answer: B

Step-by-step explanation: You would add 5 to the sum of 17-8.

Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of
$24,000. Their down payment is what percent of the purchase price? What percent of the purchase
price would a $96,000 down payment be?
Their down payment is % of the purchase price.
(Type a whole number.)

Answers

Answer:

For the first question, the answer is 10%. 24000 is 10% of 240000.

For the second question, the answer is 40%. 96000 is 40% o f 24000

Let me know if this helps!

Solve the system of equations by substitution x+y=4 y=3x

Answers

Answer:

x=1

Step-by-step explanation:

x+y=4

replace y with 3x

x+3x=4

then add the x which is 1x plus 3x

4x=4

then divide 4 on both sides

4x/4=4/4

and your answer is 1

heeeeeeeeeeeeeeeeeelllllllllllllllllllllllppppppppppppppppppppppp

Answers

Answer:

a) 50yd2

b) 7ft2

Step-by-step explanation:

a) 1/2 x b x b

1/2 x 4 x 25 = 50

b) 1/2 x b x h

1/2 x 4 x 3.5 = 7

what's
[tex] \sqrt{} \frac{242}{2} [/tex]

Answers

The answer is 11

242/2 is 121 then the square root of that is 11

write a polynomial for the volume of a cube with a side length of (x-1) inches.​

Answers

Answer:

[tex]x^3-3x^2+3x-1[/tex]

Step-by-step explanation:

the volume of a cube is the side length cubed, which in this case is [tex](x-1)^3[/tex], which simplifies to [tex]\boxed{x^3-3x^2+3x-1}[/tex].

The speed of a lion is 150% of the
speed of a deer. If a deer's speed is
16 miles per hour, find the speed of a
lion.

Answers

Answer:

the lions speed would be 24 mph

Answer:

200%

Step-by-step explanation:

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