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
inna [77]
1 year ago
10

The sum of the measures of the angles of a triangle is 180°. The middle-sized angle measures 3° more than 2 times the smallest a

ngle. The middle-sized angle measures 109° less than the largest angle. Find the measure of each angle.​
Mathematics
1 answer:
Anit [1.1K]1 year ago
6 0

Answer:

13° , 29° , 138°

Step-by-step explanation:

let x be the smallest angle , then

2x + 3 is the middle angle and

2x + 3 + 109 is the largest angle

summing the 3 angles and equating to 180

x + 2x + 3 + 2x + 3 + 109 = 180 , that is

5x + 115 = 180 ( subtract 115 from 180 )

5x = 65 ( divide both sides by 5

x = 13

2x + 3 = 2(13) + 3 = 26 + 3 = 29

2x + 3 + 109 = 29 + 109 = 138

the 3 angles are 13° , 29° , 138°

You might be interested in
Is this right? thank you
Ainat [17]

yes it is right right right 100%

6 0
2 years ago
1+ 3z= 40 what’s the answer to this problem I’m confused???
stepan [7]

Answer:

13

Step-by-step explanation:

subtract 1 on both sides

then divide by 3

to get 13

8 0
3 years ago
Read 2 more answers
What is 321×23 <br><br> one more thing<br><br> what is 3,829÷1221
Archy [21]
321 times 23 is 7,383
3,829 divided by 1,221 is (rounded to the nearest hundredth) 3.14
(the real number was: 3.13595414)
3 0
3 years ago
Please answer this 1 1/3-5/6
iren2701 [21]
11/3-5/6
=(22-5)/6
=17/6
6 0
2 years ago
If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

7 0
2 years ago
Other questions:
  • Stacy started with $40 in a savings account that earns 5% annually. ​How much interest will she get in one year?
    9·2 answers
  • What is the slope m and the y-intercept b of the graph of 8x + 3y = 10?
    8·1 answer
  • Suppose I live in a society with two goods: X and Y. Production of ________________ is my next best alternative to the productio
    10·1 answer
  • A water truck is filling a swimming pool. The equation that represents this
    8·1 answer
  • Find the dimensions of the square <br> Area=441cm over 2
    9·1 answer
  • there are 4 aces and 4 kings in a standard deck of 52 cards. you picking card random. what is the probability of selecting an ac
    5·1 answer
  • Write an equation to model the situation and
    5·1 answer
  • What is the length of side BC of the triangle
    15·1 answer
  • A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
    7·1 answer
  • Need this answered ASAP
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!