Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A20: 46

Answer

$x=40$ units. $A=50^{\circ},B=125^{\circ}$ and $C=5^{\circ}$.

Work Step by Step

Similar triangles have corresponding angles that are equal. So $A=50^{\circ},B=125^{\circ}$ and $C=5^{\circ}$. Corresponding sides are proportional thus. $\dfrac{x}{50} = \dfrac{8}{10}$ Multiply both sides by $50$. $x = 50\cdot \dfrac{8}{10}$ Simplify. $x = 40$ Therefore, the missing length is $40$ units and the missing angles are $A=50^{\circ},B=125^{\circ}$ and $C=5^{\circ}$.
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