Given:

Trapezoid BEST ~ trapezoid MANT.

Measurement of angle TMA = 105

AM = 28

BT = 24

BM = 9

AN = 16 and

ST = 52.

 

Find each of the ff:

1. Scale Factor of BEST to MANT

2. MT

3. BE

4. measurement of angle B

5. perimeter of BEST

6. perimeter of MANT

7. ratio of the perimeters of BEST and MANT.Figure

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1 Answer

7. Scale 8:5

8. MT=24-9=15

9. BE=8AM/5=44.8

10. m∠B=m∠TMA=105° (because BE and AM are parallel--corresponding angles)

11. BEST perimeter=44.8+16×8/5+52+24=146.4

12. MANT perimeter=28+16+5×58/8+15=91.5

13. 146.4:91.5=8:5

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