Answer:
<u><em>x = 37/45</em></u>
Step-by-step explanation:
Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B
Ok, so these 2 triangles are similar, so we can set up a butterfly equation:
Side 1a would be 8x
Side 1b would be 5x +3
Side 2a would be 10x - 2
Side 2b would be 7x
----------------------------------------------------
Our equation would be
8x/(5x+3) = (10x-2)/7x
We cross multiply to get 8x(10x-2) = 7x(5x+3)
Instead of solving and getting squares, we can x on both sides and we get:
8(10x - 2) = 7(5x+3) ----> we simplify to get
80x - 16 = 35x + 21 ----> it's easy sailing from here.
45x = 37
<u><em>x = 37/45</em></u>
<u><em>gosh i hope it's right...</em></u>
Answer:
k= -18
Step-by-step explanation:
k/6 +8=5 (subtract 8 from both sides)
k/6= -3 (Multiply by 6 on both sides)
k=-18
both towns are the same length because they are the same distance away from each other.
Answer:

Step-by-step explanation:

1). add 5 + 7


Answer:
231/8 simplified is 28 7/8
Step-by-step explanation:
first you have to convert all mixed fractions into improper fractions so 8 1/4 will become 33/4 and 3 1/2 will become 7/2 and then just multiply and you get 231/8 which simplified is 28 7/8