1. For the shown triangle, AD is 42, MD is 27, AN is 20 and NG is 3x+3.
2 answers:
Answer:
Step-by-step explanation:
<u>According to triangle similarity, corresponding sides have equal ratios.</u>
<u>Convert the ratio as below:</u>
- (AD - MD)/AD = AN/(AN + NG)
- (42 - 27)/42 = 20/(20 + 3x + 3)
<u>Simplify and solve for x:</u>
- 15/42 = 20/(3x + 23)
- 5/14 = 20/(3x + 23)
- 1/14 = 4/(3x + 23)
- 3x + 23 = 4*14
- 3x + 23 = 56
- 3x = 33
- x = 11
Answer:
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
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Unsure what your answer options are.
Answer:
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Explanation:
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