Which statement correctly names the congruent triangles and justifies the reason for congruence?
2 answers:
Answer:
<h2>ΔBAC ≅ ΔDEF by AAS</h2>Step-by-step explanation:
According to the image attached, the congruence is between triangles BAC and DEF, becayse that's the corresponding order to have an actual congruence.
Notice that angle C is congruent to angle F. Also, angle A is congruent to angle E. And side AB is congruent to side DE.
Therefore, by Angle-Angle-Side Theorem, those triangles are congruent.
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Answer:
(a)
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:
(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!