The correct answer is the letter B
Answer:
Step-by-step explanation:
Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
we can look at this this way hmmmm let's get the LCD of all denominators and multiply both sides by it, thus doing away with the denominators.
hmmm let's see, we have denominators of 12 and 9 really, let's do a quick prime factoring on each.
9 = 3 * 3 * 1
12 = 2 * 2 * 3 * 1
well, number 3 is repeated on both so we'll add it only once, the rest we use as well, that gives us an LCD of
3 * 3 * 2 * 2 * 1 = 36
notice, the common 3 to 12 and 9, was only used once in the LCD, the others come along. hmmm so anyhow, we have an LCD of 36, let's multiply both sides by it.
