Respuesta :

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

[tex]\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}[/tex]

Upon substituting the ratio between figure A and figure B, we will get:

[tex]\frac{3}{8}=\frac{x}{24}[/tex]

[tex]\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24[/tex]

[tex]\frac{3}{1}\cdot 3=x[/tex]

[tex]9=x[/tex]

Therefore, the value of x is 9.

In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.

The value of [tex]x[/tex] is 9.

Given:

The ratio of figure A and figure B is [tex]3:8=\dfrac{3}{8}[/tex].

Write the equation for proportion.

[tex]\dfrac{3}{8}=\dfrac{x}{24}[/tex]

Apply the cross multiplication rule.

[tex]3\times24=8\times x[/tex]

Further solve for the [tex]x[/tex].

[tex]x=\dfrac{3\times 24}{8}\\x=9[/tex]

Thus, the value of [tex]x[/tex] is 9.

Learn more about proportion here:

https://brainly.com/question/21126582

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