Answer: 
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Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.

So that's why the diagonal BD is exactly
units long
Side note: 
Happy Valentines Day!
Answer:
d = 2t
Step-by-step explanation:
The reason I say this is because it says d first followed by an equal sign which is d = and it says in the problem that he walks 2 kilometers every trip to school so it should 2t because it is 2 kilometers for one trip times how many trips he takes.
Hope This Helps :)
The answer is 1.6lb is the greatest 2nd is 30oz and last is 800g
Answer:
a = 64°
b = 138.7°
Step-by-step explanation:
First, Let's find the measure a,
- 180° = 116° + a
- 180 - 116 = a
- a = 64°
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Now,
- 90° + a + 82° + x + x + x = 360°
- 90+ 64 + 82 + 3x = 360°
- 236 + 3x = 360
- 3x = 124/ 3
- x = 41.3°
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Now that we found out what x equals, let's find 'b'-
- b + x = 180°
- b + 41.3 = 180
- b = 180 - 41.3
- b = 138.7°
I'm thinking this is what the problem looks like:

. The first thing to do is to move the

over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this:

. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.