dina18
02.01.2022 •
Mathematics
1. For the shown triangle, AD is 42, MD is 27, AN is 20 and NG is 3x+3.
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Ответ:
Step-by-step explanation:
According to triangle similarity, corresponding sides have equal ratios.
AM/AD = AN/AGConvert the ratio as below:
(AD - MD)/AD = AN/(AN + NG)(42 - 27)/42 = 20/(20 + 3x + 3)Simplify and solve for x:
15/42 = 20/(3x + 23)5/14 = 20/(3x + 23)1/14 = 5/(3x + 23)3x + 23 = 5*143x + 23 = 703x = 47x = 47/3 or 15 2/3Ответ:
x = 11
Step-by-step explanation:
Since the given triangle are proportional to each other. So,
AM/AD = AN/AG
(AD - MD)/AD = AN/(AN + NG)
=> (42 - 27)/42 = 20/(20 + 3x + 3)
=> 15/42 = 20/23 + 3x
=> 15(23 + 3x) = 42(20)
=> 345 + 45x = 840
=> 45x = 840 - 345
=> 45x = 495
=> x = 495/45
=> x = 11
Ответ: