c.
x = 130° (exterior opposite angles)
y + x = 180° (linear pair of angles)
=> y + 130° = 180°
=> y = 180° - 130°
=> y = 50°
d.
z = 100° (corresponding angles)
a = 100° (corresponding angles)
x + 100° = 180° (linear pair of angles)
=> x = 180° - 100°
=> x = 80°
y = x (interior opposite angles)
=> y = 80°
b = y (corresponding angles)
=> b = 80°
g.
a = 112° (vertically opposite angles)
b = a (interior opposite angles)
=> b = 112°
x = 78° (vertically opposite angles)
x + y = 180° (interior angles on the same side of transversal)
=> 78° + y = 180°
=> y = 180° - 78°
=> y = 102°
h.
f = 120° (vertically opposite angles)
e = 105° (vertically opposite angles)
c = 120° (corresponding angles)
d = 105° (corresponding angles)
a + d = 180° (linear pair of angles)
=> a + 105° = 180°
=> a = 180° - 105°
=> a = 75°
b + c = 180° (linear pair of angles)
=> b + 120° = 180°
=> b = 180° - 120°
=> b = 60°
Answer:
A. x > -4 and x < 0
Step-by-step explanation:
|x+2|<2
x+2<2 ; -x-2 < 2
x<0 ; -x < 4
x<0 ; x > -4
Answer:
Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr
Step-by-step explanation:
Average speed of plane in with wind = 386 km/h
Average speed of plane against wind = 318 km/hr
Consider the speed of plane in wind be x km/hr and speed of plane against wind be y km/hr
As such speed of plane in wind would be x + y km/hr and speed of plane against wind would be x - y km/hr. i.e
x+y = 386
x-y = 318
by solving these two equation, we get
2x=704
x= 352 km/hr
y=386 - 352
y= 34 km/hr
Hence, Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr
A line passing through the origin.
Answer:
y=f(x)
y=5x
y=3x
are examples of function
Step-by-step explanation:
definition of a function
if there is one to one relation between a relation
then it is defined as a function
for example
y=5x is a function
because when we put some value of x it gives back only one value of y as output.
y=±5x is not a function because one value of x gives two values(positive and negative) values of y hence not a function.
