The measure of angle C (m ∠C) is 40°
<h3>Calculating angles in a triangle </h3>
From the question, we are to determine the measure of angle C (m ∠C)
In any given triangle, the sum of all the angles is 180°
Thus,
In ΔABC, the angles sum up to 180°
That is,
∠A + ∠B + ∠C = 180°
From the given information,
m ∠A = 80°, m ∠B = 60°
Thus,
80° + 60° + m ∠C = 180°
140° + m ∠C = 180°
m ∠C = 180° - 140°
m ∠C = 40°
Hence, the measure of angle C (m ∠C) is 40°
Learn more on Calculating angles in a triangle here: brainly.com/question/17738179
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Answer:
D) arccsc (x) = arcsin (1/x)
Step-by-step explanation:
Here's how you can prove it: Consider a right triangle with hypotenuse 1 and a side length 1/x. If θ is the angle opposite of 1/x, then:
sin θ = 1/x
and
csc θ = x
Solving for θ:
θ = arcsin (1/x)
θ = arccsc (x)
Therefore:
arccsc (x) = arcsin (1/x)
Answer:
7.05 inches
Step-by-step explanation:
h=7.5+.59(5)-3.4
h=7.5+2.95-3.4
h=10.45-3.4
h=7.05
Answer:
4750 dollars
Step-by-step explanation:
5000*.05=250
5000-250=4750