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catzilla
08.07.2019 •
Mathematics
Will ! ! during exercise, the recommended maximum heart rate in beats per minute is modeled by the formula m=176-0.8a, where m is the maximum heart rate and a is the persons age. approximately, at what age would you have a recommended heart rate in beats per minute of 135? a. 25 years b. 39 years c. 51 years d. 53 years
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Ответ:
135= 176 - 0.8A
0.8A = 41
A = 51.25 ≈ 51
The answer is choice C
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: