If by "coincide", in other words this is also known as intersect, it means that the solution to the system is that intersection point. For instance, if the intersection point of the 2 lines is (5,7) on the graph, it means that in both equations, x = 5 and y = 7. If you mean that the 2 equations result in the same line, it means that the 2 equations were really equal, but that one could be basic to be identical with the other. For example, if you have 2x + 2y = 8 and 4x + 4y = 16, they will give you the same line, and you can see that if you divide that second equation by 2 all the way crossways, it merely shows the first equation.
Answer:
1 - 60
2 - 120
3 - 60
4 - 120
5 - 60
6 - 120
7 - 60
8 - 120
Step-by-step explanation:
Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.
Answer:
12
Step-by-step explanation:
The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12
3,000+4,000+1
Three hundred four thousand, one
Answer:
408,506
Step-by-step explanation:
