Answer:
The second, third and fourth are parallel to the given equation
Step-by-step explanation:
In order to determine if the slopes are the same, put all of the equations in slope-intercept form: y = mx + b. In order for lines in this form to be parallel, the m values of each have to be the exact same number, in our case, 4. Equation 2 has a 4 in the m position, just like the given, so that one is easy. Equation 2 is parallel.
Let's solve the third equation for y:
12x - 3y = 6 so
-3y = -12x + 6 and
y = 4x - 2. Equation 3 is parallel since there is a 4 in the m position.
Let's solve the fourth equation for y:
-20x + 5y = 45 so
5y = 20x + 45 and
y = 4x + 9. Equation 4 is also parallel since there is a 4 in the m position.
Answer:
10/25
Step-by-step explanation:
2/5 = x/25
We need to multiply the bottom by 5 to get to 25
5*5 = 25
What we to the bottom, we do the the top
2/5 * 5/5 = 10/25
Answer:
140°
Step-by-step explanation:
<3 = 40 because they are vertical angles
<3 +<4 = 180 because they are same side interior angles
40 + <4 = 180
Subtract 40 from each side
40-40 + <4 = 180-40
<4 = 140
