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3 years ago

Solve for x. Please explain step by step I would really appreciate it !!

Mathematics

1 answer:

NeTakaya3 years ago

6 0

Answer:

$x=8$

Step-by-step explanation:

<u><em>The correct question is</em></u>

Quadrilateral DEFG is congruent with Quadrilateral SPQR

Solve for x

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

we have that

GF and RQ are corresponding sides

RQ=GF

substitute the given values

$2x-4=12$

solve for x

adds 4 both sides

$2x=12+4$

$2x=16$

divide by 2 both sides

$x=8$

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Jim's work evaluating 2 (three-fifths) cubed is shown below. 2 (three-fifths) cubed = 2 (StartFraction 3 cubed Over 5 EndFractio

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Answer:

Jim's error is " He did not multiply Three-fifths by 2 before applying the power "

Step-by-step explanation:

Jim's evaluating expression is $2(\frac{3}{5})^3$

To verify Jim's error :

Jim's steps are

$2(\frac{3}{5})^3$

$=2(\frac{3^3}{5})$

$=2(\frac{3\times 3\times 3}{5})$

$=2(\frac{27}{5})$

$=\frac{54}{5}$

Therefore $2(\frac{3}{5})^3=\frac{54}{5}$

Jim's error is " He did not multiply Three-fifths by 2 before applying the power "

That is the corrected steps are

$2(\frac{3}{5})^3$

$=2(\frac{3^3}{5^3})$ ( using the property $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=2(\frac{3\times 3\times 3}{5\times 5\times 5})$

$=2(\frac{27}{125})$

$=\frac{54}{125}$

$2(\frac{3}{5})^3=\frac{54}{125}$

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