Step-by-step explanation:
in the given figure ,
the two sides of the triangle are equal , so their opposite angles are equal .
so , we get
=》Angle RPQ = Angle PRQ = 65°
and some of interior angels of the triangle measures 180°
so,
=》RPQ + PRQ + RQP = 180°
=》65° + 65° + RQP = 180°
(Because RPQ = PRQ = 65°)
=》130° + RQP = 180°
=》RQP = 50°
Answer:
x = 16
Step-by-step explanation:
they are equal angles
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Answer:
The number of mosquitoes is maximum for 6.5 inches rainfall.
Step-by-step explanation:
The given function is
.... (1)
where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.
We need to find the rainfall that produces the maximum number of mosquitoes.
Differential the above function with respect to x.
.... (2)
Equate first derivative equal to 0.



Differential function (2) with respect to x.

Double derivative is negative. So, the value of function is maximum at x=6.5.
Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.
Answer:
x = -5/3
Step-by-step explanation:
Hope this helps!
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Answer:
The equation of the line is 2 x - y + 5 = 0.
Step-by-step explanation:
Here the given points are A( 1, 7) & B( -3, - 1) -
Equation of a line whose points are given such that
(
) & (
)-
y -
=
( x -
)
i.e. <em> y - 7=
( x- 1)</em>
<em> y - 7 =
( x -1)</em>
<em> y - 7 = 2 ( x - 1) </em>
<em> y - 7 = 2 x - 2</em>
<em> 2 x - y + 5 = 0</em>
Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1) is 2 x - y + 5 = 0.