The Consumer Price Index (selected years)
year
CPI
year
СРІ
year
CPI
year
CPI
1940 14.0
1990 130.7
1995 152.4
2000 172.2
1950 24.1
1991
136.2
1996 156.9
2001 | 177.1
1960 29.6
1992 140.3
1997 160.5
2002 179.9
1970 38.8
1993 | 144.5
1998 163.0
2003 184.0
1980 82.4
1994 | 148.2
1999 166.6
2004 188.9
The consumer price index (CPI) is a measure of the average change of prices paid by urban consumers for goods and services. If a
worker earned $18.50 per hour in the year 1990, how much would he need to earn in 2004 to have the same buying power as he did
in 1990?

2x+60=

step-by-step explanation:

  b:   ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°

step-by-step explanation:

this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.

if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that

  x/sin(x) = y/sin(y) = z/sin(z)

and all of these ratios must be greater than 15, the longest side length.

__

if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.

  z² = x² +y² -2xy·cos(z)

  z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°

now you can find y from the law of sines

  y = arcsin(y/z·sin(z)) = 31.242°