Respuesta :

cookiedino

Answer:

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

Step-by-step 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

CSMedrano

Answer:

[tex]\overline{BC}=14.6[/tex]

Step-by-step explanation:

we know that

[tex]\overline{AC}=\overline{AB}+\overline{BC}[/tex]

so

[tex]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\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8[/tex]

and now we solve for BC

[tex]\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6[/tex]

so that's our answer

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