Answer:



Step-by-step explanation:
Given



Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula

For AB





So:

For BC





For AC





So, we have:



By representation



So, we have:



By cosine laws, the angles are calculated using:







Collect like terms


Solve for 


Take arc cos of both sides





Collect like terms


Solve for 


Take arc cos of both sides


For the third angle, we use:
--- angles in a triangle
Make C the subject



Answer:
416.7pounds
Step-by-step explanation:
Given parameters:
Weight of the small box = 125pounds
Unknown:
Weight of the larger box = ?
Solution:
The large box weighs
times as the small box:
So;
= 125pounds x 
= 416.7pounds
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.
Answer:
30 AND 40
Step-by-step explanation:
SUM OF RATIO IS 4 + 3 = 7
1ST NUMBER : 4/7 × 70 = 40
2ND NUMBER : 3/7 × 70 = 30
Sorry I'm not too sure but I know that you can probably find it using this formula:
Area = (1/2)(a)(b)(sin(C)) with C being the angle in the middle of both lines a and b in a triangle
Since a rhombus is pretty much two similar triangles....
Area = ((1/2)(6)(6)(sin6)) x 2
should give you the exact area
Sorry that I couldn't give an exact answer, I'm not too sure what in is because we were probably not taught the same things. Does it mean inch or is it supposed to be Ln? Anyways, whatever it means, maybe you could calculate each option's value and see which one is the same answer as the calculation I talked about above?