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

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THIS IS URGENT. PLEASE HELP. given AC=30, find the

Ответ:

prettyboytony4738

04.02.2022

Mathematics

$\overline{BC}=14.6$

Step-by-step explanation:

we know that

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

$30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8$

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

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

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