Answer:
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem. It says that all the angles <em>inside</em> a triangle add up to 180°.
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Take a look at the picture attached. It has a "formula": ∠a+∠b+∠c=180°
Use this as it will help you a lot. You plug in the info you already know (it doesn't matter which angle is a,b,c) and solve for the missing one. :)
Ask in the comments below if you are not sure about something.
I hope that helps you! :D
The problem says that V(x)
varies directly with its length. This is a proportionality problem. So, V(x) =
kl. If you are given a length of 25 inches and a k (proportionality constant)
of 15, you are required to find its volume V(x).
V(x) = kl
V(x) = (15) (25 inches)
<u>V(x) = 375 cubic inches</u>
<span>
The volume of the box is 375
cubic inches.
</span>
We will use integration by substitution, as well as the integrals
∫
1
x
d
x
=
ln
|
x
|
+
C
and
∫
1
d
x
=
x
+
C
∫
x
3
x
2
+
1
d
x
=
∫
x
2
x
2
+
1
x
d
x
=
1
2
∫
(
x
2
+
1
)
−
1
x
2
+
1
2
x
d
x
Let
u
=
x
2
+
1
⇒
d
u
=
2
x
d
x
. Then
1
2
∫
(
x
2
+
1
)
−
1
x
2
+
1
2
x
d
x
=
1
2
∫
u
−
1
u
d
u
=
1
2
∫
(
1
−
1
u
)
d
u
=
1
2
(
u
−
ln
|
u
|
)
+
C
=
x
2
+
1
2
−
ln
(
x
2
+
1
)
2
+
C
=
x
2
2
−
ln
(
x
2
+
1
)
2
+
1
2
+
C
=
x
2
−
ln
(
x
2
+
1
)
2
+
C
Final answer
The value of x is 1/5
Step-by-step explanation:
In a probability distribution, probability should be between 0 and 1. The probabilities add up to one.
Given probabilities are:

The sum of these probabilities will be equal to 1.
So,
To find x,

The value of x is 1/5
Keywords: Probability, Distribution
Learn more about probability at:
#LearnwithBrainly
The standard deduction compare to Chris’s deductions is letter D which is "<span>The standard deduction is $664 better than Chris’s deductions."
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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