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diamong [38]
3 years ago
9

Which of the following possibilities will form a triangle?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Triangle Side Theorem: The two smaller sides of a triangle

must be greater than the largest side

8 + 9 > 16

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True because just plug in (1,3) for x and y and solve it out.
Plugging it in gives you 2(1)-3(3)=-7 which simplifies to 2-9=-7, which is true.
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3 years ago
Kennedy inaugural argument for the government helping the poor in the country? ​
Sedbober [7]

Step-by-step explanation:

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6 0
2 years ago
A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
3 years ago
Select linear or nonlinear
seraphim [82]
Linear because i said so
5 0
3 years ago
Read 2 more answers
--2, -12, 4, 24, -8, -48, 16, n<br> what's n?
tia_tia [17]

96

Step-by-step explanation:

I think lol

8 0
3 years ago
Read 2 more answers
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