An angle measuring (468n)° is in standard position. for which value of n will the terminal side fall on the x-axis? n = 4 n = 5 n = 6 n = 7

Answer with explanation:

Standard Position of the Angle =(468 n)°

We have to find that value of, n for which terminal side will fall on X axis, that is the angle should be multiple of 180°.

You must be thinking why not multiple of ,360°, because factors of 360 are , 90,180,and 360, in which , multiple of 90 falls on x and y axis ,and multiple of 180 ,falls on X axis only.So, instead of taking factors of 90 or 360, you should take multiple of 180° for which  terminal side fall on the x-axis.

The Unit Digit of , (468 n)°,should be equal to 0, as it is divisible by number 180°.

For, n=5,

→468° × 5=2340°

So, 2340° , is divisible by 180°.

For, n=5, the terminal side ,the angle having Measure (468 n)°,will fall on the X axis.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>