Ratio of three angles of a triangle is 1 : 2 : 3. Find the angles.

Answers

Answer 1

Answer:

30⁰ , 60⁰ , 90⁰

Step-by-step explanation:

Let the angles x , 2x , 3x

By angle sum property:

x + 2x + 3x = 180⁰

6x = 180⁰

x = 30⁰

Angles are : 30⁰ , 60⁰ , 90⁰

Answer 2

Answer:

30°, 60°, 90°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio, thus

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Thus angles are 30°, 60° and 90°


Related Questions

please help with question below thank you

Answers

Answer:

44/51

Step-by-step explanation:

1 5/6 ÷ 2 1/8

Change to improper fractions

1 5/6 = (6*1+5)/6 = 11/6

2 1/8 = (8*2 +1) /8 = 17/8

11/6 ÷17/8

Copy dot flip

11/6 * 8/17

11/17 * 8/6

11/17 *4/3

44/51

Which of these decimals in expanded form are less than 6.2? Check all that apply. 6 + 0.2 + 0.08 6 + 0.1 + 0.07 6 + 0.2 + 0.00 (6 × 1) + (1 × 0.1) + (5 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01) (6 × 1) + (3 × 0.1) + (9 × 0.01)

Answers

Answer:

6 plus .1 plus .007

6 times 1 plus 1 times .1 plus 5 times .01

Step-by-step explanation:

Hope this helps

Solve the simultaneous equations

3a+2b+1

a+2b=5

a=

b=

Answers

Answer: a=-2, b=7/2

Step-by-step explanation:

To solve for a and b, we can use the elimination method for these system of equations.

3a+2b=1

a+2b=5

Since there is a 2b in both equations, we can subtrac the 2 equations.

2a=-4

a=-2

Now that we have found a, we can plug it into ay of the equations to find b.

-2+2b=5

2b=7

b=7/2

calculate the number in the middle of -8 and 31

Answers

Step-by-step explanation:

do you mean --8 plus 31

How to find the length when the perimeter and width is given

Answers

Answer:

You divide the perimeter by the width to get the length

Step-by-step explanation:

You have to divid the perimeter , etc.

help fast please who ever answer correct i will rate them excellent,

which is the correct answer

1) 4x - 7 = 13 *

5

4

3

2

2) 3x + 4 = 25 *

5

4

3

7

3) p/3 +5 =9 *

13

12

10

11

4) m/5 + 2 = 12/5 *

0

1

2

3

5) 4z/5 - 2 =6 *

9

10

11

12
who ever answer correct i will rate them excellent

Answers

1. x =5

2. x = 7

3. p = 12

4. m=2

5. z = 10

Answer:

Below in bold.

Step-by-step explanation:

1) 4x - 7 = 13

4x = 20

x = 20/4

x = 5.

2)  3x + 4 = 25

3x = 21

x = 7.

3) p/3 + 5 = 9

p/3 = 9 -5 = 4

Multiply both sides by 3:

p =  3*4

p = 12.

4)   m/5 + 2 = 12/5

Multiply through by 5:

m + 10 = 12

m = 12 -10

m = 2.

5) 4z/5 - 2 = 6

4z/5 = 8

Cross multiply:

4z = 5*8

4z = 40

z = 10.

At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday? ______ customers on Saturday (Write the number only***)

Answers

Answer:

126

Step-by-step explanation:

The probability is 90/500 = 18%

So, from 700 customers,

700 * 18%  = 700 * 18/100 = 126

Therefore, 126 customers will be selected on saturday.

I need help on this question

Answers

X is 4 be cause the smaller triangle is 1/3 of the bigger one

Answer:

x=4

Step-by-step explanation:

A customer at a restaurant can choose a soup and a salad from the menu choices shown.
Which sample space represents all the possible ways to choose one soup and one salad?
OG, OC, OT, OV, TG, TC, TV, VG, VC, GC
OG, TC, VC
Soup
Salads
Onion (O) Garden (G)
Tomato (U) Chopped (C)
Vegetable (V)
OG, OC, TG, TC, VG, VC
OG, OC, TG, TC, VC​

Answers

Answer:

OG, OC, TG, TC, VG, VC

Step-by-step explanation:

Soups: O, T, V

Salads: G, C

For each soup, he can choose 2 salads.

OG, OC, TG, TC, VG, VC

The sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

What is sample space?

Sample space is the set of all the possible values or the outcomes of a event.

Let suppose the coin are tossed two times. Then the set of possible outcome or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

A customer at a restaurant can choose a soup and a salad from the menu choices shown.

  Soup                    SaladsOnion (O)               Garden (G)Tomato (T)            Chopped (C)Vegetable (V)

For this menu the customer choose one onion as soup and one garden as salad which can be represented as (OG). Similarly, the sample space of his choice can be,

[tex]\{OG, OC, TG, TC, VG, VC\}[/tex]

Thus, the sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

Learn more about the sample space here;

https://brainly.com/question/9222927

#SPJ2

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form. .
Enter the corror answer

Answers

I personally think it’s
Y= -3
X= 6

Answer:

Y=1/2x-3

Step-by-step explanation:

Down 3 at the y-axis and up 1 right 2.

A=4x/t-p make x the subject

Answers

Answer:

x = (A t)/4 + (p t)/4

Step-by-step explanation:

Solve for x:

A = (4 x)/t - p

A = (4 x)/t - p is equivalent to (4 x)/t - p = A:

(4 x)/t - p = A

Add p to both sides:

(4 x)/t = A + p

Multiply both sides by t/4:

Answer: x = (A t)/4 + (p t)/4

slove for x.
3x+15=56

Answers

Answer:

13.7

Step-by-step explanation:

3x=41

x is around 13.7

Answer:

x = [tex]\frac{41}{3}[/tex]

x ≈ 13.7

Step-by-step explanation:

[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]

41/3 = 13.66666666....

13.666... ≈ 13.7


There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?​

Answers

Answer:

There are 33 students

Step-by-step explanation:

Because 7:4 should be in multiple of 11

Because 4:7 should be multiply by 11

If x = a cosθ and y = b sinθ , find second derivative

Answers

I'm guessing the second derivative is for y with respect to x, i.e.

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}[/tex]

Compute the first derivative. By the chain rule,

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]

We have

[tex]y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta[/tex]

[tex]x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta[/tex]

and so

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta[/tex]

Now compute the second derivative. Notice that [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] is a function of [tex]\theta[/tex]; so denote it by [tex]f(\theta)[/tex]. Then

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}[/tex]

By the chain rule,

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}[/tex]

We have

[tex]f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta[/tex]

and so the second derivative is

[tex]\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta[/tex]

Five times a number is divided by 7 more than the number. If the result is 2 then what was the original number?

Answers

the number=A

5xA/7+A=2

5A/7 +A =2

5A/7=2-A/1

7(2-A)=1(5A)

14-7A=5A

14=5A+7A

14/12=12A/12

A=14/12

A=7/6

The measure of angle 3 is 42°.

What is the measure of angle 1 in degrees?

Answers

Answer:

<1 = 48

Step-by-step explanation:

<1 + <2 + <3 = 180 since they form a line

<1 + 90+ 42 =180

Combine like terms

<1 + 132 =180

Subtract 132 from each side

<1 +132-132 =180-132

<1 = 48

Answer:

48 is the answer

Step-by-step explanation:

Can anyone please help me it’s only one question please help me

Answers

Answer:

A =7.02 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases

A = 1/2 ( 4.5+6.3) * 1.3

A = 1/2(10.8) * 1.3

A =7.02 m^2

A data set has the following six data points: 11, 3, x, x+2, 5, 10. If the median if this data set is 7, then what is the possible value of x?

Answers

Answer:

x=6

Step-by-step explanation:

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers

11, 3, x, x+2, 5, 10

in ascending order the data points:

3, 5, 10, 11, x, x+2, then median >7x, x+2, 3, 5, 10, 11 then median <73, 5, x, x+2, 10, 11 then median is (x+x+2)/2=7 ⇒ x+1=7 ⇒ x=6

A man has three white shirts,two blue shirts abd five red shirts.He picks one at random.What is the probability of white.Show workings

Answers

Answer: 30% or 3/10.

Step-by-step explanation: To find the probablilty of getting a white shirt, we first have to find the total number of shirts: 3 white + 2 blue + 5 red = 10 total. Out of the ten total, there are 3 white shirts. The probability of getting a white shirt is 3/10, because out of the 10 total shirts, 3 shirts are white.

Answer:

3/10

Step-by-step explanation:

[tex]Probability = \frac{Events}{Possible- outcomes} \\Total -no -of -shirts=3+2+5=10\\Event = 3 \\Probability = \frac{3}{10}[/tex]

I hope i am correct

Factor the expression completely. 1/4 +11/4

Answers

Answer:

3

Step-by-step explanation:

1/4 +11/4

(1+11)/4

12/4

3

Answer:

=3

Step-by-step explanation:

The correct answer to this question is =3. I added the steps down below. I also added a attachment that refer to a number line for this question.

1: =1/4+11/4

2: =1+11/4

3: 12/4

4: =3

Answer: =3

Number line attached.

Hope this helps.

2x+y=5
x - y = 4

Please answer this wuestion​

Answers

Answer:

x=9

y=5

Step-by-step explanation:

X = 3

Y = -1

This is because
2 * 3 + - 1 = 2 * 3 - 1 = 5
3 - - 1 = 3 + 1 = 4

Find the volume of the pyramid below.

Answers

Answer: 400 units

Step-by-step explanation:

Volume=1/3a^2h

=1/3(10)^2(12)

=400

The correct answer is 400. I had the same question on a test I took not to long ago.

7. What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes
from
(a) 6 to 12
(b) 5 to 8


hi there if you are there
please reply it is a very urgent assignment that I have to send it by today . ​

Answers

(a) 1/2 of a rev
(b) 1/4 of a rev

Triangle ABC is located at A (−2, 2), B (−2, 4), and C (0, 0). The triangle is then transformed using the rule (x+3, y− 2) to form the image A'B'C'. What are the new coordinates of A', B', and C'?

Answers

Answer:

In this problem, we have three vertices, namely:

A(-2,2) , B(-2,4) , C(0,0)

Our transformation rule is (x+3,y-2) and this rule forms the image A'B'C'. So:

Step-by-step explanation:

A'=(-2+3,2-2)=(1,0)

B'=(-2+3,4-2)=(1,2)

C'=(0+3,0-2)=(3,-2)

Taking a look in the First Figure, we can see the two triangles. The red one is the triangle ABC and the blue one is A'B'C'. In the Second Figure, the corresponding vertices have been connected with line segments, as indicated the green lines. The characteristics of those three lines are two, namely:

They are parallel.

They have the same length.

What is the slope of the linear represents by the equation y = 4/5 x -3

Answers

Answer:

4/5

Step-by-step explanation:

y = mx + b

4/5 = m = slope

Answer:

The slope is 4/5.

Step-by-step explanation:

It's a linear equation. Which means that you can graph a "line" out of it.

The format is y=mx+b

mx=slope

b= y-intercept.

The slope is 4/5.

can anyone help me solve this using exponent rules
(5x4y3)(-2x5y)​

Answers

Answer:

[tex]-10x^9y^4[/tex]

Step-by-step explanation:

Answer:

-10x9y4

Step-by-step explanation:

When multiplying exponents it's like adding nothing serious. Hope this helps! Plz mark brainliest!!

What is the number of sides of a regular polygon whose exterior and interior angles are in the ratio 1:5?

Answers

Answer:

12

Step-by-step explanation:

n*30=360

n=360/30

n=12

What are the answers to these questions

Answers

Answer:

135°

Step-by-step explanation:

You want QRT. So if you look at it you have a straight line, which equals 180°. you already have an angle at 45° so all you do is 180-45 and that equals 135°

Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below. 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction = StartFraction 130 over 30 EndFraction = 4 and one-third When she checked the answer by estimating, it did not make sense. What error did Janice make? Janice converted a mixed number to the wrong improper fraction. Janice added the numerators and denominators instead of multiplying. Janice did not change the division problem to multiplication. Janice did not convert the improper fraction to a mixed number correctly in the answer.

Answers

Answer:

Janice converted a mixed number to the wrong improper fraction.

Step-by-step explanation:

1 batch of stew uses 1 and 2/3 lb meat

Total amount of meat used - 10 and 5/6 lb

x = number of stew batches made

To get number of batches made, divide total meat used by the amount of meat each batch requires:

x = 10 5/6 ÷ 1 2/3

convert mixed fractions to improper fractions:

x = (10x6+5)/6 ÷ (1x3+2)/3

x = 65/6 ÷ 5/3

The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.

Answer:

A

Step-by-step explanation:

The cost of a large pizza is $10.99. Each additional topping costs $1.25. Write an expression that can be used to find the cost of a pizza when x toppings are included

Answers

Answer: 10.99 + 1.25x

Step-by-step explanation:

The cost of a large pizza is $10.99 and each additional topping costs $1.25. The expression that can be used to calculate the cost of a pizza when x toppings are added will be:

Cost of pizza + (number of additional toppings × 1.25)

Since x toppings are included, this will be:

= 10.99 + (1.25 × x)

= 10.99 + 1.25x

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why was there tension between the u.s and the soviet union after ww2 30 POINTS FOR THE GENUIS WHO CAN ANSWER THIS!! The following information was drawn from the accounting records of Chapin Company. On January 1, Year 1, Chapin paid $56,000 cash to purchase a truck. The truck had a five-year useful life and a $6,000 salvage value. As of December 31, Year 1, Chapin Company had a $68,000 balance in its Accounts Receivable account and a zero balance in its Allowance for Doubtful Accounts account. Sales on account for Year 1 amounted to $320,000. Chapin estimates that 5 percent of credit sales will be uncollectible. Required a. Record the year-end adjusting entry for depreciation expense on the truck in T-accounts. b. Determine the book value of the truck that will appear on the December 31, Year 1, balance sheet. c. Record the year-end adjusting entry of uncollectible accounts expense. d. Determine the net realizable value of receivables that will appear on the December 31, Year 1, balance sheet. What kind of potential energy does a diver on a diving board have? What does the word Mandating mean in paragraph 7 of the passage ?A) suggesting B) limiting C) considering D) requiring What observation led researchers to propose that chloroplasts evolved from cyanobacteria?both produce proteins both contain mitochondriaboth provide structure to cells both preform photosynthesis 4. Why do some marine scientists specialize in single-celled organisms? (1 poiA.There are very few species to choose fromB. Single-celled organisms are the least understood in the ocean.c. Many of them are poisonous, so they endanger other creatures.d. Single-celled organisms form the foundation of life in the ocean.5. Chemical oceanographers often study pollution because (1 point)A.most pollution occurs in the ocean.B. pollution creates chemical changes.C.no other field examines the implications of pollutionD. only chemical oceanography uses the scientific method. hi what is the answer Briefly describe two important technological advances that occurred during the Industrial Revolution. How did these technologies contribute to social changes at the time? Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!! You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. What is the initial height of the balloon? The invention of the automobile contributed to the increase of urban sprawlPlease select the best answer from the choices providedTF The area of a parallelogram is 65 ft square. What is it height?(The base is 13 ft) A weather forecaster suggests the probability of rain on Saturday is 30% and on Sunday there is a 50% chance of rain. If the forecasters probabilities are correct what is the probability of no rain all weekend? y = -2x + 5 and 2x + y = -7 I need help ASAP can someone please help me right away. two integers have a sum of 2, and a difference of 12. find the two integers 2.External jugular vein ends by opening into, * Internal jugular vein subclavian vein Brachiocephalic vein superior venacava Elaine Matuszek, the sole stockholder of Matuszek Consulting, started the business by investing $49,000 cash. Identify the general journal entry below that Matuszek Consulting will make to record the transaction. A. Investments 49,000 Common Stock 49,000 B. Cash 49,000 Common Stock 49,000 C. Cash 49,000 Increased Equity 49,000 D. Investments 49,000 Cash 49,000 E. Common Stock 49,000 Cash 49,000 Suppose the number of defects in a sweater from a population of sweaters produced from a textile factory are normally distributed with an unknown population mean and a population standard deviation of 0.06 defects. A random sample of sweaters from the population produces a sample mean of x=1.3 defects. What value of z should be used to calculate a confidence interval with a 95% confidence level? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576