Step-by-step explanation:
a) Distance between Aranville t o Bowtown = 24 miless
b) Bowtown and Dovebury are furthest apart.
c) Toatl distance = 20 + 37 = 57 miles
Answer:
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Step-by-step explanation:
The two angles are inside a right angle. The small box signifies a right angle/ 90° angle.
Therefore, the sum of the angle measures must equal 90. We can set up an equation.

Combine the like terms on the right side. The 2 constants: 56 and 16 can be added.


Since we are solving for x, we must isolate the variable. 72 and x are being added. The inverse of addition is subtraction, so subtract 72 from both sides.


x is equal to 18 and choice A is correct.
6 faces, 12 edges, and 8 vertices
Order : 6 9 9 10 12 15 15 17 18
Mean: 12.33
Median: 12
mode: 9 and 15
range: 12
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β