Question

Help please.
Which is a possible value for x?#

Choices:
18
15
1
17 ** this answer was NOT correct **

Answer 1

its probably the second

Answer 2

ok

Answer 3

notice that you have 2 triangles with 2 legs that are the same length, both the 3rd legs are different.

You can use the idea that the longer side goes with the bigger angle.
the side opposite 47º is 16
the side opposite the unknown (3x-4) angle is 13
because 13 is less than 16, you know angle 3x-4 < 47

Answer 4

notice that if you pick x=1 , 3x-4 is 3-4= -1 and you can't have a negative length.
that leaves only 1 number that will work.

Answer 5

ok

Answer 6

3(18)-4 is 50

but we know (see the above post) that the angle must be less than 47º

Answer 7

oh ok I looked at it wrong I thought it said greater, so 15 would be the correct answer then.

Answer 8

yes. x=15. this is a tricky question, but they wanted you to notice