Simplify (2/5÷3/8)÷(-3/5)

Mathematics

1 answer:

liberstina [14]1 year ago

3 0

Answer:

$\pink{ - 1 \frac{7}{9} }$

Step-by-step explanation:

$( \frac{2}{5} \div \frac{3}{8} ) \div ( - \frac{3}{5} ) \\ (\frac{2}{5} \times \frac{8}{3} ) \times ( - \frac{5}{3} ) \\ \frac{16}{15} \times - \frac{5}{3} \\ - \frac{80}{45}$

As the answer can be more simplified, divide both numerator and denominator by 5.

$- \frac{16}{9} = - 1 \frac{7}{9}$

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We know that the angles J + P + K=180

So, the triangles have all the angles the same, so they are similar by angle-angle-angle, and they have one side congruent, AC=CD, so the triangles are congruents.