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
Stells [14]
3 years ago
10

X°,Y° and Z° are three angles lying on a straight line.If X°=2y° and Z°=3y°,find he value of y

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0
Answer:  " y = 30° "  .
_____________________________________
<u>Note</u>:  The sum total of the measure of all angles lying on a straight
             line is 180°.

So;   x + y + z = 180 .

Given:    x =  2y ;
              z  =  3y ;
__________________
Find the value of:  " y " ;
_______________________
Since:   x + y + z = 180 ; 

Substitute:  "2y"  for  "x" ; 
          and:  "3y"  for  "z" ;
_______________________
       2y + y + 3y = 180 ;

                6y = 180 ;
______________________
  Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
___________________________
       6y/ 6 = 180 / 6 ; 

             y = 30 ;
____________________________
Let us check our work;
____________________________
     2y + y + 3y = 180 ;

Substitute our solved value:  "30" ; for "y" ; in the equation; to see if the equation holds true:
____________________________
  2(30)  +  30  +  3(30)  =?  180 ?
____________________________
   60  +  30  +  90  = ?  180 ?
____________________________
             90  +  90  = ?  180 ?  Yes!
____________________________
You might be interested in
A rectangular picture frame measures 18" x 22". If 1 inch equals 2.54 cm, the dimensions of the picture frame in centimeters wou
Kisachek [45]
It would be 45.72 cm by 55.88 cm because you have to multiply each dimension by 2.54 to get the exact measurement in centimeters.
4 0
3 years ago
What are the possible dimensions of trapezoid with an area of 100 cm^2?! Need help ASAP
Digiron [165]

Answer:

First, Second and Last Options are correct choices.

Step-by-step explanation:

Regards: Umer

8 0
3 years ago
Cho f(t)=(t-4)u(t-2)phep bien doi laplace la<br> F(s)=e^-2s/s^2-2e^-2s/s62
FinnZ [79.3K]

Step-by-step explanation:

cho f(t)=(t-4)u(t-2)phep bien doi laplace la

F(s)=e^-2s/s^2-2e^-2s/s62

4 0
3 years ago
Can someone help me with 42 divided by 9
Gnom [1K]

Answer:

4.6 or if you rounded it would be 5

8 0
3 years ago
Log4 x + log4 (x – 3) = 1 Solve the equation.
Natasha_Volkova [10]

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Is x+1 a factor? Why or why not?
    13·1 answer
  • in a fireplace, about 3/4 of an 18-inch log will burn in 1/3 of an hour. How many hours will it take to burn 2 1/2 logs?
    9·1 answer
  • Help on number four please?​
    13·1 answer
  • Help me plz what is 341 divided by 10
    12·2 answers
  • Find the slope of the line that passes through the points (0,4) and (2, -3).
    9·1 answer
  • Which is more, 7,037 yards or 4 miles
    15·1 answer
  • Analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary
    9·1 answer
  • PLEASE HELP! WILL MARK BRAINLIEST!!
    13·2 answers
  • Question in picture help and explain pls
    5·1 answer
  • Use mathematical language to decribe three different patterns in the following triangle.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!