Answer:
1.Yes, vertical angles prove lines parallel if there is a transversal and the corresponding vertical angles are congruent
2. x= 12
Answer:
improper 6/5 or proper 1 1/5 decimal 1.2
Step-by-step explanation:
Lets say a number is x
The sum of 5 and three times a number
The sum of 5 and 3 times x
The sum of 5 and 3x (sum means to add)
3x + 5
answer
Answer:
![x^2 + 2xy + y^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xy%20%2B%20y%5E2)
Step-by-step explanation:
![(x+y)^2 = (x+y)(x+y)](https://tex.z-dn.net/?f=%28x%2By%29%5E2%20%3D%20%28x%2By%29%28x%2By%29)
F.O.I.L. the equation (first, outer, inner, last)
![(x+y)(x+y) = (x*x) + (x*y) + (x*y) + (y*y)](https://tex.z-dn.net/?f=%28x%2By%29%28x%2By%29%20%3D%20%28x%2Ax%29%20%2B%20%28x%2Ay%29%20%2B%20%28x%2Ay%29%20%2B%20%28y%2Ay%29)
![(x*x) + (x*y) + (x*y) + (y*y) = x^2 + xy +xy+y^2 = x^2 +2xy+y^2](https://tex.z-dn.net/?f=%28x%2Ax%29%20%2B%20%28x%2Ay%29%20%2B%20%28x%2Ay%29%20%2B%20%28y%2Ay%29%20%3D%20x%5E2%20%2B%20xy%20%2Bxy%2By%5E2%20%3D%20x%5E2%20%2B2xy%2By%5E2)
C. 8/3
Simply give the two fractions the same denominator by multiplying both sides of 2/3 by 4 (2* 4 / 3 * 4 = 8/12) and both sides of 1/4 by 3 ( 1 * 3 / 4 * 3 = 3/12) to get a ratio of 8 to 3.