Answer:
3(x+y)
Step-by-step explanation:
3(x+y)
distribute
3x+3y
Ok we need a common coefficient of either x or y:
12x+21y=3
12x+40y=60
We can subtract one from the other to get:
19y=57
Now divide by 19 to get:
y=3
Now if we sub this back in we see that:
3x+30=15
3x=-15
x=-5
Answer:
C
Step-by-step explanation:
perpendicular lines intersect at a 90 degree angle, meaning it is not answer choice A.
B is incorrect because perpendicular lines intersect, so they can not be parallel.
C is correct because parallel lines never intersect, so perpendicular lines can never be parallel to each other.
D is incorrect because perpendicular lines only intersect at one point and create four consistent right angles.
Aha.. you forgot to attach a photo! its ok i have done that as well!
Answer:
Step-by-step explanation:
First, let's find the value of x.
Note that the two equations with the x are alternate interior angles. Therefore, their angle measures are equivalent. So, we can write the following equation:
Solve for x. Let's add 38 to both sides:
Subtract 3x from both sides:
Divide both sides by 2. So, the value of x is:
We can see that we have a right triangle.
The sum of the three interior angles of a triangle is always 180. Therefore, we can write that:
Since we already know that x is 17, substitute 17 for x. This yields:
Now, we can solve for y. Multiply:
Combine like terms:
Evaluate:
Subtract 117 from both sides:
Divide both sides by 7. So, the value of y is:
And we're done!