Can u guys please help me fast i only got 30 mins question is

Mathematics

2 answers:

Jet001 [13]3 years ago

5 0

Answer:

-3,-2,-0.8,-0.1,0.5,0.8,7

Artemon [7]3 years ago

3 0

Answer:

-3, -2, -0.8, -1/10, 1/2, 0.8, 7

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What is the value of x?

Andrew [12]

<h3>Answer:</h3>

$x = 25$

<h3>Solution:</h3>

$\frac{40}{40+24} = \frac{x}{x +15} \\ \frac{40}{64} = \frac{x}{x +15} \\ \frac{5}{8} = \frac{x}{x +15} \\ 5(x +15) = 8x \\ 5x +75 = 8x \\ 75 = 3x \\ 25 = x$

<h3>Explanation:</h3>

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 $\frac{DQ}{DB} = \frac{DC}{DR}\\$ .