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3 years ago

Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2

Mathematics

1 answer:

Lesechka [4]3 years ago

4 0

Answer:

8x +6y -28

Step-by-step explanation:

The outside factor applies to each inside term, so the equivalent expression is ...

-8(-x -3/4y +7/2) = 8x +6y -28

Applying the distributive property once again, we can also write the equivalent expression ...

= 2(4x +3y -14)

There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.

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<h3>Answer:</h3>

$x = 25$

<h3>Solution:</h3>

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Angle BDR is congruent to angle QDC because they share common angles. Angles BRD and QCD are congruent because lines BR and QC are <em>parallel</em> and line DR intersecting them creates <em>two corresponding angles</em>, BRD and QCD. Because of the reasons I mentioned, Triangles DBR and DQC are similar by Angle Angle Similarity Postulate and because these two triangles are similar they must share the same scaling factor of corresponding sides (example: $\frac{DQ}{DB}\\$ ). So $\frac{DQ}{DB} = \frac{DC}{DR}\\$ .

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