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

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

7 0

3 years ago

Joe buys a pizza that is 24 inches across. He cut it into four equal size pieces in the shape of quarter circles. He eats one of

Kisachek [45]

D=24 r=12
A=π×r^2
A=π×12^2
A=452

452÷4=113

Joe are 113 inches squared

3 0

3 years ago