Answer:
7) m<SCA= 3x+3=90°
(since all the angles of a square are right angle)
=>3x=87°
=>x= 29°
8)Opposite angles of a rhombus have equal measure.
So, half of opposite angles of a rhombus have equal measure .
m<1=m<4=37
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y-axis
a point (x, y ) → (- x, y )
Hence
A'(-5, - 3 ) → A''(5, - 3 )
B'(4, 4 ) → B''(- 4, 4 )
C'(4, 2 ) → C''(- 4, 2 )
D'(- 2, - 1 ) → D''(2, - 1 )
Answer:
Step-by-step explanation:
1). Equation of a line which has slope 'm' and y-intercept as 'b' is,
y = mx + b
If slope 'm' = 1 and y-intercept 'b' = -3
Equation of the line will be,
y = x - 3
x - y = 3
2). Equation of a line having slope 'm' and passing through a point (x', y') is,
y - y' = m(x - x')
If the slope 'm' = 1 and point is (-1, 2),
The the equation of the line will be,
y - 2 = 1(x + 1)
y = x + 1 + 2
y = x + 3
x - y = -3
3). Equation of a line passing through two points
and
will be,

If this line passes through (-2, 3) and (-3, 4),

y - 3 = -1(x + 2)
y = -x - 2 + 3
y = -x + 1
x + y = 1
Answer: 0.2
Step-by-step explanation:
Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).
∴ The probability density function of X will be :-
Thus, the required probability :-

Hence, the probability that the commuting time will be less than 44 minutes= 0.2