I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
A. ZY=15
Step-by-step explanation:
Insufficient information is given about angles to make any statement about the value of p or the measures of any angles. (Eliminates B,C,D,E)
Side YZ corresponds to side FG. Since they are congruent, their measures are the same. This means ...
2n -5 = n +5
n = 10 . . . . . . . . add 5-n
YZ = ZY = 2·10 -5 = 15 . . . . . . matches choice A
Answer:
3239.95
Step-by-step explanation:
Answer:
The value of given expression is .
Step-by-step explanation:
The given expression is
The trigonometric ratios are not defined for .
can be split into .
Using the addition formula
We know that, and
lies in third quadrant, by using reference angle properties,
Therefore the value of given expression is .