Answer:
ok i will answer your question
Step-by-step explanation:
pick me as the brainliest
Answer: 2/125
Step-by-step explanation: No esto 100% seguro pero hice esto:
2/5 % 4 = 2/125
Answer:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
Step-by-step explanation:
The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.
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<h3>top triangle</h3>
The law of sines applied to the top triangle is ...
BC/sin(A) = AC/sin(θ)
Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...
∠A = 180° -θ -θ = 180° -2θ
A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...
sin(A) = sin(180° -2θ) = sin(2θ)
and our above Law of Sines equation tells us ...
BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)
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<h3>bottom triangle</h3>
The law of sines applied to the bottom triangle is ...
DC/sin(B) = BC/sin(D)
d/sin(α) = BC/sin(β)
Multiplying by sin(α) we have ...
d = BC·sin(α)/sin(β)
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Using our expression for BC gives the desired relation:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
Answer:
In the photo (I hope this helps)
Step-by-step explanation:
Answer:
<U= 75°
<V=65°
x=50
Step-by-step explanation:
The interior angles to a triangle always equal 180°.
Set up your equation:
180= 40+x+15+x+25
Subtract 40 from 180 to get 140. Subtract 15 from both sides. Now you have 125. Subtract the 25 from both sides. You now have 100.
Divide the 100 by 2 to find what x is because your equation is now 100=2x
x=50
v= 50+15= 65 so V is 65°
U is 50+25 so U is 75°
