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.
Solve the following system using elimination:
{4 x - 3 y = 8 | (equation 1){-10 y = -11 | (equation 2)
Multiply equation 2 by -1:
{4 x - 3 y = 8 | (equation 1)
{0 x+10 y = 11 | (equation 2)
Divide equation 2 by 10:
{4 x - 3 y = 8 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Add 3 × (equation 2) to equation 1:
{4 x+0 y = 113/10 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 113/40 | (equation 1)
{0 x+y = 11/10 | (equation 2)
Collect results:
Answer: {x = 113/40
{y = 11/10
Answer:
36 degrees
Step-by-step explanation:
The total of the angles is only 90, so to get the answer all you would have to do is 90 - 54 to get 36
Answer:
Step-by-step explanation:
Let x = total number of hats sold
hat left after sales = x - (47 + 14 ) = x - 61
x - 61 / x