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
11Alexandr11 [23.1K]
3 years ago
9

In the given figure p=120° and y : z=2 : 3 Find x, y and z​

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

You might be interested in
Which sample has a greater variability, or spread?
avanturin [10]

Answer:

The orange sample

Step-by-step explanation:

The higher the interquartile range the bigger the variance as it the difference between the 0.25 and 0.75 quantiles which basically means if the difference between the 25 percent and 75 percent is higher then there is more variety as they are further away

Would be amazing if you marked brainliest and feel free to comment any follow up questions :)

8 0
3 years ago
Read 2 more answers
Helppppppppppppppppppppppppppp
OverLord2011 [107]
The domain of the function f(x) is where the area under the square root (aka the radicand) is positive or zero. We have to write that the radicand is greater than or equal to zero, so 

\dfrac{1}{2}x-10 \geq 0.

C
6 0
3 years ago
Shane worked 8 hours per day for 3 days. Andrew worked 6 hours per day for 4 days. If the normal working week is 36 hours, which
creativ13 [48]
Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36  24/36 GCF is 12 divide to and bottom by 12
24 / 12 is 2   36 / 12 is 3  2/3    Shane worked for 2/3 of 36h
Percentage: 100% / 3 (because there is 3 parts)= 33.333333333333 
33.33333333333 x 2 (because it is there is 2 parts needed) = 66.6666666666%
Shane has worked for 66.6666666666% of 36 hours
 
 Andrew:
 4 x 6 = 24 
Hey did you realise, the 24 is exactly the same! So the fraction would still be 2/3 of 36, and so on, there percentage is still the same, it's still 66.6666666666%

Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage         <span />
4 0
3 years ago
Read 2 more answers
Anyone wanna help me out
Sholpan [36]

Answer:

58.91m^2

Step-by-step explanation:

(smaller triangle below)

A=\frac{ab}{2}\\ =\frac{8.6*5.5}{2}\\ =23.65m^2\\\\A=\frac{ab}{2}\\ =\frac{8.6*8.2}{2} \\=35.26m^2

(bigger triangle above)

Since you have both triangle, and all lengths you dont need to worry about calculating the square

Add both together

23.65+35.26\\=58.91m^2

5 0
3 years ago
Read 2 more answers
3\sqrt{-27x^6y^9} ????????
ivann1987 [24]

Answer: 9x^3 y^4 sqrt -3y

7 0
3 years ago
Other questions:
  • Why in the world did I have nearly 800 points worth of questions deleted? Every single one of them were right! What do I do now?
    13·1 answer
  • The length of a rectangle 4x + 3y and the width is 7x - 2y. What expression represents the perimeter of the rectangle?
    15·1 answer
  • Leila runs 7 miles in 60 minutes. at the same rate, how many miles would she run in 24 minutes?
    6·1 answer
  • The owner of patties party shop ordered 4 cartons of balloons. how many balloons did she order?
    14·2 answers
  • 1. Emily is allowed to spend 60% of her allowance. The remaining 40% she deposits into her
    8·2 answers
  • I am thinking of an a number less than 20 greater than 10. the sum of the digits in the number is 6. what is the number? It’s fo
    9·1 answer
  • Over the next 12 months you have to read more than 48 books you have to read x books per month the inequality 12x &gt;48 solve t
    6·1 answer
  • Angelica was selling her blankets for $85 each. She wanted to make more money so she raised her price by 20%. Her
    6·1 answer
  • 1) What does the term 5p mean in the expression 5p - 10?
    7·1 answer
  • What is the missing factor in the equation? Assume x * 0 and y* 0.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!