Given a = {x | x < 1}, b = {x | x ≥ 5}, and c = {x | x = 5}, match the following items.
1.a∪b ( ){x | x = 5}
2.a∪c ( ){x | x < 1 or x = 5}
3.b∪c ( ) {x | x < 1 or x ≥ 5}
4.a∩b ( ) ø
5.b∩c ( ){x | x ≥ 5}

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

Use complete sentences to differentiate between a regular tessellation, and a pure tessellation. be sure to include specific types of polygons in your explanation.

The customer price index(cpi), which measures the cost of a typical package of customer goods,was 208.8 in 2011 and 244.1 in 2016.let x=11 corresponding to the year 2011 an estimate to cpi into 2013 and 2014. assume that the data can be modeled by a straight line and the trend to continue idenfinitely.use data points to find such a line and then estimate the requested quantities