Answer:
m∠B = 107°
Step-by-step explanation:
The given geometric figure is a deltoid or quadrilateral with two pairs of equal adjacent sides whose diagonals are perpendicular.
The longer diagonal divides two opposite angles into two equal parts, which means:
m∠A = 2 · 32 = 64°
m∠C = 2 · 41 = 82
Also the angles m∠B ≅ m∠D = x
The total sum of the inner angles in the quadrilateral is 360°, which means:
2 · x = 360 - ( 64 + 82) = 360 - 146 = 214 => x = 214/2 = 107°
m∠B = 107°
God with you!!!
Answer:
870
Step-by-step explanation:
$435 + $395 = $830
$830 + $10 = $840
$2 x 15 = $30
$840 + $30 = $870
Answer:
a

b
![x(t) = x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }](https://tex.z-dn.net/?f=x%28t%29%20%3D%20%20x_o%20e%5E%7B%5Cfrac%7B-%5Calpha%20y_o%20%7D%7B%5Cbeta%20%7D%5Be%5E%7B-%5Cbeta%20t%7D%20-%201%5D%20%7D)
c

Step-by-step explanation:
From the question we are told that

Now integrating both sides

Now taking the exponent of both sides

=> 
Let 
So

Now from the question we are told that

Hence

=> 
So

From the question we are told that

substituting for y

=> 
Now integrating both sides

Now taking the exponent of both sides

=> 
Let 
=> 
Now from the question we are told that

So

=> 
divide both side by 
=> 
So

=> 
=> ![x(t) = x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }](https://tex.z-dn.net/?f=x%28t%29%20%3D%20%20x_o%20e%5E%7B%5Cfrac%7B%5Calpha%20y_o%20%7D%7B%5Cbeta%20%7D%5Be%5E%7B-%5Cbeta%20t%7D%20-%201%5D%20%7D)
Generally as t tends to infinity ,
tends to zero
so

Answer:c
Step-by-step explanation:
A.
( 2.5 , 11 )
( 5 , 11 )
( 4.5 , 8 )
( 2 , 8 )
( 7 , 11 )
( 7 , 8 )
( 12 , 11 )
( 4.5 , 6 )
( 4.5 , 2 )
( 2 , 2 )
( 2 , 6 )
( 8 , 2 )
( 8 , 6 )
( 11 , 1 )
( 11 , 7 )