6 +5r < 31 Please help
1 answer:
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Place a dot on the origin.
A line that has a slope of
goes by this formula:
So "rise -2" and "run 3."
Rise -2 is basically go down 2, so go down 2 units from the origin. Run 3 means go right 3 units from (0, -2).
Draw a line through (3, -2) and (0, 0).
A line that has a slope of
So "rise -2" and "run 3."
Rise -2 is basically go down 2, so go down 2 units from the origin. Run 3 means go right 3 units from (0, -2).
Draw a line through (3, -2) and (0, 0).
The distance d is 9 ft and the height is 12ft.
<h3>How to find the distance and the height?</h3>
Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.
The height is one cathetus and the distance is the other catheti.
Let's define:
- h = height
- d = distance.
- hypotenuse = 15ft
We know that the height of the tower is 3 ft larger than the distance, then:
h = d + 3ft
Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Then:
Now we can solve this equation for d:
Then the solutions are:
We only take the positive solution:
d = (-3ft + 21ft)/2 = 9ft
And the height is 3 ft more than that, so:
h = 9ft + 3ft = 12ft
The distance d is 9 ft and the height is 12ft.
If you want to learn more about right triangles:
#SPJ1
Answer:
The correct option is SSS (Side-Side-Side) Theorem
Step-by-step explanation:
The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.
Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN
We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN
Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN
Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM
SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question
