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vova2212 [387]
4 years ago
10

Find the missing length of the triangle.

Mathematics
1 answer:
bearhunter [10]4 years ago
5 0

Answer:

29 km

Step-by-step explanation:

to find the hypothenuse of a triangle you can use the pythagorean theorem.

a^2 + b^2 = c^2

in this case 20 km would be a, 21 km would be b and they add up to 841, then you find the square root and get 29 km :)

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Solve for x.<br><br> 3(x-1)-8=4(1+x)+5<br><br> Also could someone please explain how to do this??
Marianna [84]

9514 1404 393

Answer:

  x = -20

Step-by-step explanation:

First, simplify the equation. Eliminate parentheses and combine terms.

  3(x -1) -8 = 4(1 +x) +5 . . . . . . . given

  3x -3 -8 = 4 +4x +5 . . . . . . . . eliminate parentheses (distributive property)

  3x -11 = 4x +9 . . . . . . . . . . . . combine like terms

We can put all the x-terms on the right by subtracting 3x from both sides.

  3x -11 -3x = 4x +9 -3x

  -11 = x +9

And we can get the x-term by itself by subtracting 9 from both sides.

  -11 -9 = x +9 -9

  -20 = x . . . . . . . . . . this is the solution

__

<em>Check</em>

3(-20 -1) -8 = 4(1 -20) +5

3(-21) -8 = 4(-19) +5

-63 -8 = -76 +5

-71 = -71 . . . . . . . . . true, the answer checks OK

_____

<em>Additional comment</em>

We observe that the two x-terms are 3x and 4x. The smaller of these is 3x, so when we subtract that from 4x we will have a <em>positive</em> result. That is why we chose to subtract 3x, even though it leaves the x-term on the right side of the equation. We could have subtracted 4x to get -x -11 = 9. I find it easier not to make a mistake if the variable has a positive coefficient.

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Step-by-step explanation:

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