Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
w = 180° - (90 + 31) °= 180° - 121° = 59°
y = 59° ( vertical angle to w )
w and v are adjacent angles, thus
w + v = 180°
59° + v = 180° ( subtract 59° from both sides )
v = 121°
x = 121° ( vertical angle to v )
Thus
v = 121°, w = 59°, x = 121°, y = 59°
Answer:
50$
Step-by-step explanation:
5% of 500=25
If you earn 25 per year then in two years you will earn
25+25=50$
Answer:
see below
Step-by-step explanation:
For the HL theorem to be applicable, the hypotenuses must be the same length:
x+3 = y-1
and the marked legs must be the same length:
y-3 = 2x-1
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Recognizing y-3 = (y-1) -2, we can substitute into the second equation using the first equation:
(y -1) -2 = 2x -1
(x +3) -2 = 2x -1 . . . substitute for y-1
2 = x . . . . . . . . . . add 1-x to both sides
Then the first equation tells us ...
x+4 = y = 2+4 = 6
The values of x and y are ...
x = 2, y = 6
9514 1404 393
Answer:
(d) all real numbers greater than or equal to -1
Step-by-step explanation:
The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.
y ≥ -1
