Step-by-step explanation:
We can make 2 equations as follows:
2x = y + 16 and x + 2y = 18
x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.
2(18 - 2y) = y + 16
36 - 4y = y + 16
5y = 20
y = 4.
Answer:
a = 3, b = 4, c = 5
Step-by-step explanation:
Assuming we're working with a right triangle, where c is the hypotenuse, then using the definition of the cosine being the adjacent side over the hypotenuse, then we know:
a = 3, because it is the side adjacent to B
b = 4, because it is the side adjacent to A
c = 5, because it is the denominator in bot fractions
This of course assumes that there is no additional ratio in place. For example, if the lengths were instead 8, 6 and 10 respectively, then the cosines given would still be 4/5 and 3/5. Truthfully these only tell relative sizes of the sides, and not their absolute sizes.
Answer:
The answer is 'C'
Step-by-step explanation:
Congruent simply means "the same." When a line divides two parralel lines transversals are created. This means that there are angles on both lines that are similar. To fully understand which angles would be the same, I reccommend researching "transversals" for more information, or asking your teacher about it as it is hard to explain without a proper diagram.