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
Which month has the colder average temperatures?
Dima020 [189]
I think january or december

7 0
3 years ago
Read 2 more answers
Lxl=10 what is the answer
Svetradugi [14.3K]

Answer:

10

Step-by-step explanation:

The absolute value of 10 is 10. Algebraically speaking, the absolute value of a number x takes x and makes it positive.

6 0
2 years ago
What is the decimal equivalent of the fraction?
Anton [14]
7 divided by 12 = 0.583
7 0
3 years ago
Read 2 more answers
3. Continue the pattern with 4 fifths.
Elenna [48]

Answer:

I don’t have enough context clues to answer your question I’m afraid

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX
pochemuha

Answer:

(a) 0.7967

(b) 0.6826

(c) 0.3707

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and  variance <em>σ</em>² = 36.

(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z

Thus, the value of P (X > 16) is 0.1587.

**Use a <em>z</em>-table for the probabilities.

8 0
3 years ago
Other questions:
  • Which of the following is an irrational number?4/3 , ^24, ^81, -4.07
    15·1 answer
  • The coefficient of c/5 is
    15·2 answers
  • Suppose that, in an experimental setting, 100 students are asked to choose between Gamble A and Gamble B, where: Gamble A: The s
    7·1 answer
  • What is 5 times 7 divided by 7
    5·2 answers
  • To convert kilograrns to grams, you can use the ratio<br><br> 1000grams/1kilogram
    15·1 answer
  • Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from
    5·2 answers
  • There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
    6·2 answers
  • If you borrow 500 for 4 year at an intrest rate of 6 %
    12·1 answer
  • facts about me: im 16 ,i have blonde hair, im a lesbian, im a stem but more on the masculine side, i love anime, my number is 91
    14·2 answers
  • 2(x+16)= 6x please help me :)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!