The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?

Answers

Answer 1

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°


Related Questions

Eight more than the difference of −5s and −6s is equal to the sum of 3 and 7

Answers

3 + 7 = 10

10 - 8 = 2

-5s - -6s = 2

s = 2

Answer:

s=2

Step-by-step explanation:

-5s + 6s + 8 = 3 + 7

s + 8 = 10

s + 8 - 8 = 10 -8

s = 2

विपरीत अर्थवाले शब्द लिखिए ।

1. नदी २. इच्छा ३. आशा ४. अपकार​

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Answer:

sorry I can't understand the word

Help pleaseeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

22

Pablo mixes 3 units white paint and 1 unit black paint to make gray paint

Answers

Answer:

Whats the Question?

Step-by-step explanation:

how do i solve this step by step? i dont know how to set up this equation.

Answers

Answer:

Step-by-step explanation:

The two long sides on the left and right and bisected into two equal parts each

That means that since there is an angle in common to the top little triangle and the whole diagram, the little triangle on top and the whole triangle are similar.

The ratio of similarity is 1/2

10/(5x + 5) = 1/2                              Cross multiply

(5x + 5)*1 = 10*2

5x + 5 = 20                                     Subtract 5 from both sides

5x = 20 - 5                                     Combine

5x = 15                                            Divide by 5

5x/5 = 15/5

x = 3


The measure of angle STV is 117°. What is the measure of angle UTV

Answers

Answer:

117 - 86 = 31°

The answe is 31

Yesterday, Kofi earned 50 Cedis mowing lawns. Today, Kofi earned 60% of what he earned yesterday mowing lawns. How much money did Kojo earn mowing lawns today?

Answers

The amount of money that Kojo earn mowing lawns today is 30 cedis

To determine the amount of money that  Kojo earn mowing lawns today we are going to multiply the amount she earn by the her earning percentage.

Using this formula

Amount=Earning × Earning rate

Where:

Earning=50 cedis

Earning rate=60%

Let plug in the formula

Amount=50×.60

Amount=30

Inconclusion The amount of money that Kojo earn mowing lawns today is 30 cedis

Learn more here:

https://brainly.com/question/24285252

Since Kofi earned 60% of what he earned yesterday mowing lawns, today he earned 30 Cedis.

Given the following data:

Amount earned yesterday = 50 Cedis.Percentage today= 60%

To find how much money Kojo earn mowing lawns today:

In this exercise, you're required to find the amount of money earned by Kofi, if he was able to make certain amount of money the previous day.

Hence, we would determine what percentage of the money he earned today.

[tex]Today's\;earnings = \frac{60}{100} \times 50\\\\Today's\;earnings = \frac{3000}{100}[/tex]

Today's earnings = 30 Cedis

Read more: https://brainly.com/question/1015081

help please?

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 13 fl oz per hour. How fast was the pipe leaking in gallons per day​?

Answers

1.6875 gallons per day
the answer is 1.6875

HELP ASAP......find the slope of the line that passes through the two points (-44.42,5.1) and (4.42,4)

Answers

Answer:

m ≈ -0.225

Step-by-step explanation:

For points (-44.42, 5.1) and (4.42, 4)

slope = (y2 -y1)/(x2 -x1) = (5.1 -4)/ (-44.42 -4.42) = 1.1 / -48.44 ≈ - 0.225

In the number 6855 is the 800 1/10 of 6000

Answers

Answer:

No

Step-by-step explanation:

Thembi leaves school at 07:10 to get to school at 07:45. How long does it take her to school and home each week?​

Answers

Its takes 350 minutes

The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?

A. 35
B. 16
C. 12
D. 6

Answers

the answer is C 12


explanation:
4x5 is 20
4x3 is 12
process of GCF to find the ratio

I don’t get this at all help.?

Answers

Answer:

Step-by-step explanation:

a) Volume of prism: 6 units x 4 units x 7 units = 168 cubic units

b) Area of shaded base: 4 units x 7 units = 28 square units

Volume of prism: 6 x 4 x 7

Suppose a car travels at a rate of 60 miles per hour for 3 hours. How many miles does the car travel?

UPDATE IM DUM IT 180

Answers

Ok lol I was going to put 180 but if you got it than that’s fine.

Answer:

thanks

Step-by-step explanation:

Please answer this question

Answers

Answer:

See explanation below:

see attached file below

PLZ HELP ME SOMEONE!!!

Answers

Answer:

131

Step-by-step explanation:

Hope this helps

Answer:

the answer is 130.9 round it up and you get 131

Step-by-step explanation:

I have more question then this

Answers

Answer:

A reflection over the y axis

Step-by-step explanation:

Because reflection is an image produced by or as if by a mirror.

How do you write 0.8 as a percentage?

Answers

0.8 as a percentage is 80%

Answer:

.8 equals 80%

Step-by-step explanation:

To find the percentage you multiply the decimal by 100 so .8 multiplyed by 100 equals 80 or 80%

What is the opposite of -1.2

Answers

Answer:

1.2

Step-by-step explanation:

it's so easy it's 1.2

Answer:

The opposite of -1.2 is 1.2

The opposite of a negative number is always a positive number and vice versa.

Hope this helps you!

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

I have more questions then this

Answers

Answer:

maybe 3 option

Step-by-step explanation:

hope helpful

have a great day

prove cos 2 theta - cos 4 theta + cos 6 theta - cos 12 theta = 4 sin 3 theta sin 5 theta cos 4 theta​

Answers

Answer:

sorry need lng po

Step-by-step explanation:

pa brainlies

Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

Know more about speed, time and distance,

https://brainly.com/question/31756299

#SPJ3


A man is 23 years old. His sister is 11 years old. How many years ago was the man 3 times older than
his sister ?

Answers

23 11
20 8
18 6

Five years ago

Work out the following:

a) 3/4 - 7/9 + 2/3

Answers

Answer: 23/36

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{7}{9} +\frac{2}{3}[/tex]

You need to find a common denominator.

The common denominator is 36. You have to get all denominators to 36.

How to do that?

Example = [tex]\frac{3}{4} *\frac{9}{9} =\frac{27}{36}[/tex].

Do that to all the fractions.

[tex]\frac{27}{36} -\frac{28}{36} +\frac{24}{36} = \frac{23}{36}[/tex]

How much does each piece cost individually?

Answers

Answer:

500 for sofa

Step-by-step explanation:

x+5/x^2 = 1/3x - 1/3x^2

Answers

Answer:

x= 3√126 /3

Step-by-step explanation:

hope this helps

A truck can be rented from Company A for $110 a day plus $0.50 per mile. Company B charges $80 a day plus $0.75 per mile to rent the same truck. Part A: Write an equation to find the number of miles in a day at which the rental costs for Company A and Company B are the same. Part B: Solve the equation.

Answers

m=number of miles

A=$110+$0.50m

B=$80+$0.80m

$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)

$30=$0.30m Divide each side by $0.30

100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.

8x - 8 - x = 3 (6 - 2x)

Answers

Answer:

x = 2

Step-by-step explanation:

8

8

=

3

(

6

2

)

{\color{#c92786}{8x}}-8{\color{#c92786}{-x}}=3(6-2x)

8x−8−x=3(6−2x)

7

8

=

3

(

6

2

)

Write an absolute value equation of the form |ax+b|=cx+d that has no solution. Assume that a, b, c and d ≠0

Answers

Answer:

|x+1| = x - 1   has no solution.

Step-by-step explanation:

One interpretation of |x - a| is “the distance between the numbers x and a. So |x - b| = c means that the distance between x and b is equal to c . For this to have any solutions, we need c >= 0. When c >0 there will be exactly two solutions, one to the left of b and one to the right of b. When c = 0, the solution is unique: x = b. So, now you should be able to select the only values for b and c that produce the desired set of solutions.

Need help with this...pronto..please​

Answers

1) 130
2) 70
3) 21.5%
4) 77
5) 10
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