Morehollie9428
11.03.2021 •
Mathematics
The school that Elisa goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 1 adult ticket and 13 child tickets for a total of $79. The school took in $64 on the second day by selling 1 adult ticket and 10 child tickets. Choose the systems below to find the price of an adult ticket and the price of a child ticket.
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Ответ:
part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);∠YXB≅∠YZA (given);XY≅ZY (given).Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
part c) flow chart proof:
XY≅ZY (given);XB≅ZA (implies);YB≅YA (implies).