Question

THIS IS URGENT. PLEASE HELP. given AC=30, find the value if x, and the length of BC

Answer 1

`\overline{BC}=14.6`

Explanation:

we know that

`\overline{AC}=\overline{AB}+\overline{BC}`

so

`30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\(1)/(5)(5x)=(1)/(5)(24)\\\\(5)/(5)x=(1)/(5)(24)\\\\(1)/(1)x=(1)/(5)(24)\\\\x=(1)/(5)(24)\\\\x=(24)/(5)\\\\x=4.8`

and now we solve for BC

`\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6`

so that's our answer

Answer 2

The value of x is 4.8. The length of BC is 14.6.

Explanation:

I combined the two expressions 3x+1 and 2x+5 to 5x+6=30

1. I subtracted 6 from 6 and 30 in the equations.

2. I was left with 5x=24

3. I then divide 5 from 5x and 24

4. I got x=4.8

To get the length of BC

2x+5

1. I multiplied 2×4.8

2. I got 9.6

3. I then add 5 to 9.6

4. I finally get the answer 14.6 which is the length of BC