Answer:
38°
Step-by-step explanation:
The angles in a triangle always add up to 180 degrees.
Therefore, all the angles in the triangle given in the question add up to 180 degrees.
So, let's create an equation and solve for
:

Simplify:

Solving for
we get:

Now, let's put the value of
we got into the formula for angle A.


Answer:
x=20
Step-by-step explanation:
First, find LJ
Angle L = 60 (180 - 30 - 90)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(L)=adj/hyp
cos(60)=LJ/40√2
LJ = cos(60)*40√2
LJ = 20√2
Now you can use LJ to find x. You also know the value of each angle, 45
x=20√2⋅cos(45)
x=20
The answer is 5, 6, 7
Because
6456 < 6512 < 6788
6456 < 6612 < 6788
6456 < 6712 < 6788
Let X be width <span>of a rectangle, then
(x+8) - </span><span>length
(x+x+8)*2 = 52
x+x+8 = 52/2
2x+8 = 26
2x = 26-8
2x = 18
x = 18/2
x = 9 cm
Answer: 9 cm.</span>