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JulsSmile [24]
3 years ago
5

Giving the 2 sides of the triangle, find the range of all possible lengths for the third side.

Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

  1. 2 < x < 16
  2. 3 < x < 19
  3. 14 < x < 18
  4. 4 < x < 16
  5. 13 < x < 47
  6. 0 < x < 10
  7. 1 < x < 7

Step-by-step explanation:

The minimum third side is the difference of the given sides; the maximum third side is their sum.

If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.

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Check my answer please?! <br><br> All i did was divide 14.4 by 1/2<br> Am i correct?
aliina [53]
 yes you are correct are you good at counterexample

 
5 0
2 years ago
Owen used these steps to solve the equation 4x+7=1+2(2x+3). Which choice describes the meaning of his result, 7=7?
ivanzaharov [21]

Answer:

Option D. All values of x make the equation true

Step-by-step explanation:

<u><em>The options of the question are</em></u>

a.The result is not correct because Step 2 has an error.

b.The solution is x=7.

c.No values of x make the equation true.

d.All values of x make the equation true

we have the equation

4x+7=1+2(2x+3)

solve for x

Apply distributive property right side

4x+7=1+4x+6

Combine like terms

4x+7=4x+7

subtract 4x both sides

7=7

The equation has infinity solutions

.All values of x make the equation true

6 0
3 years ago
Find x<br><br><br><br><br> Thanks for the help in advance!
Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

AH=2,\quad HB=6,\quad AC=x

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}

If we solve the first two equations for y squared, we have

y^2=x^2-4\\y^2=z^2-36

And we can deduce

z^2 = x^2+32

So that the third equation becomes

x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4

(we can't accept the negative root because negative lengths make no sense)

7 0
3 years ago
I need help on this.
valentinak56 [21]

Answer: True

The opposite sides of a parallelogram are congruent or equal in length. The opposite sides are also parallel. It might help to think of a rectangle, which is a special case of a parallelogram.

3 0
3 years ago
Read 2 more answers
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