Answer:
Step-by-step explanation:300
Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
So first, you have to remember the order of operations. That means that whatever is in the parentheses is what has to be done first
However, because one of the numbers in the parentheses is a variable and the other isn't, we can distribute instead
Therefore, 3(12+4x) distributes by multiplying the 3 into both numbers in the parentheses. So we get 36+12x
Now the equation is 20=8+36+12x
Now, bring all numbers without variables on the left side
20-8-36=8-8+36-36+12x
20-8-36=12x
Now simplify
20-8-36=12x
12-36=12x
-24=12x
Divide both sides by 12, and you get x=-2
Hope this helped!!! :D
Answer:
a=65, m=−1
a=65, m=1
Step-by-step explanation:
