So since, they are the same distance from zero, they should be the oppposite of each other so in other words, k=-h and h=-k
so k+h=(subisute)k-k=-h+h=0 because they cancel
Answer:
- 100
- 80
- 100
- 80
x = 10
y = 6
Step-by-step explanation:
We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.
10x = 100
x = 10
We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.
100 + z = 180
z = 80
Now, that we have angle 4, we know that angle 2 will have the same measure because they are vertical angles. Now to find the value of y, we can take the angle measure and solve for it.
10y + 20 = 80
10y = 60
y = 6
Best of Luck!
Answer:
14/45
Step-by-step explanation:
So we have the fraction:

We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:

Since there is only 1 digit repeating, let's multiply everything by 10. So:

Now, subtract n from both sides:

On the left, substitute the number for n. On the right, combine like terms:

All of the 1s will cancel. So:

Subtract:

Divide both sides by 9:

Remove the decimal by multiplying both sides by 10:

Reduce:

And we're done!
Use a calculator to check:

Answer:
7/9 = 42/n.
7n = 378,
n = 54.
Step-by-step explanation: