Answer:
The angles are 15 degrees, 45 degrees and 120 degrees
Step-by-step explanation:
The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degrees
Let x = the size of the largest angle of the triangle
Let y = the size of the middle angle of the triangle
Let z = the size of the smallest angle of the triangle.
x + y + z = 180 - - - - -- - - - - - - 1
The size of the largest angle is eight times the size of the smallest angle.
This means
x = 8z
The size of the middle angle is triple the size of the smallest angle. This means
y = 3z
Put x = 8z and y = 3z in equation 1
8z + 3z + z= 180
12z = 180
z = 180/12 = 15
x = 8z = 8×15 = 120
y = 3z = 3 × 15 = 45
Answer:
135
Step-by-step explanation:
I am not sure if you have to use the substitution method but I just did (600 - 60) then divided by 4
12.6 million = 4p + 1 million
to solve:
12.6 million - 1 million = 4p + 1 million - 1 million
11.6 million/4 = 4p/4
2.9 million = p
the population in 1950 was approximately 2.6 million
Answer
<u>3</u>, the number is 3
Step-by-step explanation:
work backwards, do 8-5 to get three. you can check to see if you're right by adding 5 to 3, which gives you 8.
Answer:
27 by 27
Step-by-step explanation:
Let the sides be x and y. The problem is essentially asking:
Given 2(x+y)=108, maximize xy.
We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that 
. Substituting in x+y=54, we get 
, meaning that 
. Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.
