48.3k views
5 votes
Line segment AB is one unit long. If point C cuts AB so that AC = 0.618, what is the ratio of AC to CB? a. 1 c. 1.32 b. 1.618 d. 1.543

2 Answers

3 votes

Answer:

the answer is b. 1.618

Explanation:

EDGE2021

User Ted Karmel
by
7.8k points
7 votes
By the segment addition postulate,
AB = AC+CB
since C is somewhere between A and B

We know AC is 0.618 and AB = 1
CB = x for now

AB = AC+CB
1 = 0.618+x
1-0.618 = 0.618+x-0.618 ... subtract 0.618 from both sides
0.382 = x
x = 0.382

So CB is 0.382 units long

To find the ratio of AC to CB, divide the values
AC/CB = 0.618/0.382 = 1.618 (approximate to 3 decimal places)

Answer: Choice B) 1.618
User Matthew Gray
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories