Answer:
h= 60
g= 120
m= 147
k= 33
Step-by-step explanation:
We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.
This immediately helps with angle h:
120 + h = 180
h = 60
As well as m:
33 + m = 180
m = 147
There are two ways to solve the next part:
First and most familiar way:
h + g = 180
60 + g = 180
g = 120
and:
m + k = 180
147 + k = 180
k = 33
The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.
Answer:
1) -17x-9
Step-by-step explanation:
1)
(-2x^3+x-5)+(x^3-3x-4)
Combine like terms using P.E.M.D.A.S:
(-2x^3+x-5)+(x^3-3x-4)
(-9x-5)+(-8x-4)
Combine like terms:
(-2x^3+x-5)+(x^3-3x-4)
(-9x-5)+(-8x-4)
-17x-9
I hope this helps a bit!☺
Answer:
A. Drink 1
B. Drink 2
Step-by-step explanation:
We are given that,
The quantities of fruit juice in original recipe are:
Apple juice = =
Orange juice = = = 3
Pineapple juice =
So, we get that,
The proportion of apple juice to pineapple juice in the original recipe is = .
Now, according to the options , we will check which drink have apple to pineapple juice ratio equal to .
Simplifying the mixed fraction into rational numbers, we get,
Drink A: = .
Drink B: = .
Drink C: = 5
Drink D: = = 4
Drink E: = .
So, we see that,
Drinks A and B have the same proportion of apple to pineapple juice as that of the original recipe.
The numbers are 6 and 2. To figure this out, just find all the number that add up to 8, and see which set are 4 numbers apart.
Answer:
540 m
Step-by-step explanation:
The building of the Blue Museum of Barcelona is triangular and each side of the building is 180 m.
This means the building is shaped as an equilateral triangle.
We need to find the total distance traveled if we go round the building, that is, its perimeter.
The perimeter of an equilateral triangle is given as:
P = 3L
where L = length of the side of the building = 180 m
The total distance traveled if we go round the building will be:
P = 3 * 180 = 540 m
We would need to go 540 m to travel around the building completely.