Answer: b. The adjacent angles formed by two intersecting lines are supplementary.
Step-by-step explanation:
In the given picture , we can see that there are intersecting lines with adjacent angles which have shown.
If we add the adjacent angles for each pair of intersecting lines we get,
Therefore,b is the right option "The adjacent angles formed by two intersecting lines are supplementary."
- Two Angles are supplementary when their sum is 180 degrees.
- Two Angles are complementary when their sum is 90 degrees.
- Vertical angles are always equal.
Y= 6x + 1.
6x represents six times, and the +1 is “one more.”
A :v 12345678910111213141516171819
Answer: 116
Step-by-step explanation:
We can substitute x=-14, giving us f(-14)=-8(-14)+4=116
The average density of the rod is 0.704 kg/m.
For given question,
We have been given the linear density in a rod 5 m long is 10 / x + 4 kg/m, where x is measured in meters from one end of the rod.
We need to find the
The length of rod is, L = 5 m.
The linear density of rod is, ρ = 10/( x + 4) kg/m
To find the average density we need to integrate the linear density from x₁ = 0 to x₂ = 5,
The expression for the average density is given as,
⇒ ρ'
......................(1)
Using u = x + 4
du = dx
u₁ = x₁ + 4
u₁ = 0 + 4
u₁ = 4
and
u₂ = x₂ + 4
u₂ = 5 + 4
u₂ = 9
By entering the values above into (1), we have:
⇒ ρ'
= 0.704
Thus, we can conclude that the average density of the rod is 0.704 kg/m.
Learn more about the average density here:
brainly.com/question/15118421
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