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SIMILAR FIGURES

by John Haldeman
(Corpus Christi, Tx)












































I need some help on these questions, I do not understand them.....Help Thanks John Micah

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Oct 21, 2011
Ratios and SIMILAR FIGURES
by: Staff


Question:

by John Haldeman
(Corpus Christi, Tx)


I need some help on these questions, I do not understand them.....Help Thanks John Micah


Answer:

The image file is too blurry to read.

If you can, please send a sharper image: 1 large image per question may have enough clarity make it possible to read your questions.

Your first question appears to be similar to question 3, which appears on page 11 of the Texas Assessment of Knowledge and Skills, Mathematics, Grade 8, released 2008. This can be found at:

http://ritter.tea.state.tx.us/student.assessment/resources/release/taks_items/2008/EngGr08Mth.pdf


If your first question is similar to the TAKS question, this is the solution:

Since the figures are similar, the ratios of corresponding sides are the same.

The ratio of MN and ST is 2:3

Therefore the ratio of LM to RS also = 2:3

LM to RS = 2 to 3

LM : RS = 2 : 3

LM / RS = 2 / 3


Solve the equation for RS


Multiply each side of the equation by the fraction (RS / 1)

(LM / RS) * (RS / 1) = (2 / 3) * (RS / 1)

(LM / 1) * (RS / RS) = (2 / 3) * (RS / 1)

(LM / 1) * (1) = (2 / 3) * (RS / 1)

(LM / 1) = (2 / 3) * (RS / 1)

LM = (2 / 3) * (RS / 1)

LM = (2 * RS) / (3 * 1)

LM = (2 * RS) / 3


Multiply each side of the equation by 3

3 * LM = 3 * (2 * RS) / 3

3 * LM = (2 * RS) (3 / 3)

3 * LM = (2 * RS) (1)

3 * LM = (2 * RS)


Divide each side of the equation by 2

3 * LM / 2 = (2 * RS) / 2

3 * LM / 2 = RS * (2 / 2)

3 * LM / 2 = RS * (1)

3 * LM / 2 = RS

RS = 3 * LM / 2


Since LM = 12, substitute 12 for LM in the equation

RS = 3 * LM / 2

RS = 3 * 12 / 2

RS = 3 * 6

RS = 18


The final answer to this question is: RS = 18 cm





Thanks for writing.

Staff
www.solving-math-problems.com


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