Answer:
10
Step-by-step explanation:
From R(-2,4) to S(3,4) is 5 units to the right. Then S(3,4) to T(3, −1) is 5 units down.
There will be a vertical asymptote when the denominator approaches zero. So the vertical asymptote is about the line x=2.
There will be a horizontal asymptote as x approaches ±oo where the y value will approach 4. So the horizontal asymptote is about the line y=4
1. Rewrite the system:
x+12y=68 (i)
x=8y-12 (ii)
2. Let's substitute the equation (ii) into the equation (i):
x+12y=68
(8y-12)+12y=68
3. Then, you have:
8y-12+12y=68
4. When you clear "y", you have:
20y-12=68
20y=68+12
20y=80
y=80/20
y=4
5. You already have the value of "y". Now, you must substitute this value into the equation (ii):
x=8y-12
x=8(4)-12
x=32-12
x=20
6. Therefore, the result is:
x=20
y=4
Every triangle has an angle measure of 180 degrees.
so 42+20+x (where x is the measure of the third angle)=180
Combine like terms.
62+x=180
Subtract 62 from both sides
x=118.
You have to divide 48 by 4. How many times does 4 go into 48.....................12 times.