Slycooper5006 Slycooper5006
  • 25-09-2017
  • Mathematics
contestada

One angle in a triangle is half the largest angle, but three times the smallest. find all three angles.

Respuesta :

texaschic101
texaschic101 texaschic101
  • 25-09-2017
x = smallest angle, y = middle angle, z = largest angle

x + y + z = 180...interior angles of a triangle add up to 180 degrees
y = 1/2z.....z = 2y
y = 3x.......1/3y = x

1/3y + y + 2y = 180....multiply everything by 3
y + 3y + 6y = 540
10y = 540
y = 540/10
y = 54 <== the middle angle

z = 2y
z = 2(54)
z = 108 <=== largest angle

1/3y = x
1/3(54) = x
54/3 = x
18 = x <=== smallest angle

Answer Link

Otras preguntas

WHAT ARE THE PENISULAR RIVERS AND NON PENINSULAR
explain different ways a company is applying management​
Pens cost 43p and booklets cost £1.85 How much change will I get from £10 if I buy 3 pens and 4 booklets
when did the Great Depression begin ​
wanna do dances yes or no
In a two digit number , the digits at tens place is 1 more than the digit at unit place .If the product of the digits is 20,find the numbers.​
A legacy is a tradition that exists because of something that happened in the past. What are the major legacies of the Byzantine Empire? Explain. (4-5 sentences
find the inverse with respect to addition of 9​
Please Answer A,B,C Correctly, Fast, and Answer All To get Brainliest and 5 Stars lastly a Thanks and have a Merry Christmas and a Happy New Year!
Is this a function or not, if so why? Also, please so ur work!