1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grandymaker [24]
3 years ago
11

The size of the largest angle in a triangle is 3 times the size of the smallest angle.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

  • The size of the largest angle in a triangle is 3 times the size of the smallest angle
  • The third angle is 10° more than the smallest angle
  • The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

You might be interested in
There are 1800 gym members in total 3/4 are aged 25-59 1/5 are over 60 and the rest are under 25 how many members are under 25
skad [1K]
90 members are under 25 years old
7 0
3 years ago
If x = 2, then x second power - 3x -+5
ICE Princess25 [194]
X^2 - 3x + 5
2^2 - 3(2) + 5
4 - 6 + 5
3
3 0
3 years ago
You need 3 sticks of butter for every 24 cookies you bake<br>​
andriy [413]

Umm...not sure what your question is, but to make 10 cookies you would need 1.25 sticks of butter, and to make 48 cookies you would need 6 sticks of butter. Hope this helps!

3 0
3 years ago
 What is 4/1 + 3/4 =  equal to?
kari74 [83]
4/1 is the same as 4.

So 4+3/4= 4 and 3/4

<u>Final Answer</u>= 4 and 3/4
3 0
3 years ago
Read 2 more answers
A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?
Ugo [173]

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How does changing the scale change the distance represented?
    8·1 answer
  • Which statistic indicates the strength of the relationship between the length of the auction and final price?
    11·1 answer
  • monica has some cookies. she gave seven to her sister. then, she divided the remainder into two halfway, and she still had five
    13·1 answer
  • Can you put 5(3+j+2j) as a verbal expression?
    13·1 answer
  • find the distance between point A(-3,5) and point B(4,-6) in the coordinate plane. 1- What is the distance formula? 2- plug in t
    14·2 answers
  • The endpoints of the diameter of a circle are (-7,3) and (5,1) . What is the center of the circle
    7·1 answer
  • Can anybody help me please ?
    15·1 answer
  • Need answer fast with all the steps included please
    13·1 answer
  • Some1 help me plus, I need this done by friday 20 points
    8·1 answer
  • Find y.<br>Help me please:))​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!