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Mathematics 15 Online
ah42632:

What is the value of x in the diagram? A. one-half B. Start Fraction 4 over 21 End Fraction C. 2 D. 4

lilcutie2:

please post the diagram

ah42632:

lilcutie2:

which one can you eliminate

ah42632:

4/24?

lilcutie2:

which option

ah42632:

B i think

lilcutie2:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @ah42632 B i think \(\color{#0cbb34}{\text{End of Quote}}\) correct

ah42632:

the only thing is i dont know how to work out this problem

MxxnLight:

Do you still need help?

lilcutie2:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @MxxnLight Do you still need help? \(\color{#0cbb34}{\text{End of Quote}}\) she figures it out

AZ:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @ah42632 the only thing is i dont know how to work out this problem \(\color{#0cbb34}{\text{End of Quote}}\) since the triangles are similar, we can write it as a proportion \(\dfrac{9}{12} = \dfrac{4x-2}{3x+2}\) can you solve for x?

AZ:

@jhonyy9 just want to confirm with you :)

AZ:

I found an image that should help you see the ratios of sides in a similar triangle

1 attachment
jhonyy9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ \(\color{#0cbb34}{\text{Originally Posted by}}\) @ah42632 the only thing is i dont know how to work out this problem \(\color{#0cbb34}{\text{End of Quote}}\) since the triangles are similar, we can write it as a proportion \(\dfrac{9}{12} = \dfrac{4x-2}{3x+2}\) can you solve for x? \(\color{#0cbb34}{\text{End of Quote}}\) yes this is the way - use the proportionality of corresponding sides

AZ:

To solve it, you have to cross multiply

1 attachment
jhonyy9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ To solve it, you have to cross multiply \(\color{#0cbb34}{\text{End of Quote}}\) exactly - perfect job

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