Answer:
The function is continuous at x = 36
Step-by-step explanation:
From the question we are told that
The function is
The point at which continuity is tested is x = 1
Now from the definition of continuity ,
At function is continuous at k if only

So

Now


So the given function is continuous at x = 36
because

<em>Answer</em><em>:</em>
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<em>After</em><em> </em><em>reducti</em><em>on</em><em>:</em>
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<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em><em>.</em>
Let's apply the Law of Cosines here. We want the measure of the angle opposite the side with length 16.
Call that angle C.
Then 16^2 = 36^2 + 28^2 - 2(36)(28)cos C.
Solving for C: cos C = 16^2 - 36^2 - 28^2
------------------------- = 0.904, and C = 0.44 rad
-2(28)(36) or C = 25.21 degrees
So each of the 2 equal angles shown has the measure 25.21 degrees.
Unfortunately, I don't know the direction we should go from this point on.
Answer:
<h2>m∠EFG = 126°</h2><h2>m∠GFH = 54°</h2>
Step-by-step explanation:
If ∠EFG and ∠GFH are a linear pair, then m∠EFG + m∠GFH = 180°
(look at the picture).
We have
m∠EFG = 5n + 16
m∠GFH = 2n + 10
Substitute:
(5n + 16) + (2n + 10) = 180 <em>combine like terms</em>
(5n + 2n) + (16 + 10) = 180
7n + 26 = 180 <em>subtract 26 from both sides</em>
7n + 26 - 26 = 180 - 26
7n = 154 <em>divide both sides by 7</em>
7n/7 = 154/7
n = 22
Insert the value of n into expressions that specify angle measures:
m∠EFG = 5n + 16 → m∠EFG = 5(22) + 16 = 110 + 16 = 126°
m∠GFH = 2n + 10 → m∠GFH = 2(22) + 10 = 44 + 10 = 54°