Applying the triangle sum theorem, the size of ∠BDC = 95°.
<h3>What is the Triangle Sum Theorem?</h3>All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.
The diagram attached below shows the following:
Thus:
55 + 2x + 3x + 25 = 180 (triangle sum theorem).
80 + 5x = 180
5x = 180 - 80
5x = 100
x = 20
Therefore,
m∠BDC = 180 - (3x + 25) (triangle sum theorem)
m∠BDC = 180 - (3(20) + 25)
m∠BDC = 95°
Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.
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<u>Corrected Question</u>
Is the function given by:
continuous at x=4? Why or why not? Choose the correct answer below.
Answer:
(D) Yes, f(x) is continuous at x = 4 because
Step-by-step explanation:
Given the function:
A function to be continuous at some value c in its domain if the following condition holds:
At x=4
Therefore:
By the above, the function satisfies the condition for continuity.
The correct option is D.