Middle School

For the lengths AB, BC, and AC to equal 9,7, and 16 respectively, what is the value of x?

For the lengths AB BC and AC to equal 9 7 and 16 respectively what is the value of x

Answer :

Answer: the answer is 6.

Step-by-step explanation:

a p e x

Hello!

The answer is:

The value of x is 3.9 units.

Why?

From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)

So, writing the equation, we have:

[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]

Now, adding like terms, we have:

[tex]2x-3+(x+1)=9.7[/tex]

[tex]2x+x-3+1=9.7[/tex]

[tex]3x-2=9.7[/tex]

[tex]3x=9.7+2[/tex]

[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]

Hence, we have the value of x is 3.9 units.

Have a nice day!

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