What is the length of x in the given triangle shown at right? 30°
Your
o 33
O
6
O 12
o 12V3
Clear answer

Explanation:

This is a 30-60-90 triangle. The short leg is always opposite the 30 degree angle. The long leg is opposite the 60 degree angle.

For these types of special triangles, we can say

Based on that formula, and the fact that the long leg is , this means the short leg must be 6 units long.

For any 30-60-90 triangle, the hypotenuse is twice as long as the short leg

So the hypotenuse is 2*6 = 12 units long

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

c) yes, because of asa or aas