Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:

Then, you can substitute values:

The next step is to solve for DE in order to find its value. This is:

Finally, rounding the result to the nearest tenth, you get that this is:

Answer:
5.525
Step-by-step explanation:
1. (7x^(2))/(2x + 6) -:(3x - 5) / (x + 3) Solve Bold
(7x^(2)) / (2x + 6) -:(3x - 5) / (x + 3)
2. 49x / 8x - (-2x) / 3x Solve Bold
49x/8x-(-2x)/3x
3. 6.125 - .6 Solve Bold
Answer: 5.525
Answer:
using Pythagoras rule, 16^2 -7^2 =a^2
so 256-49 = 297.
√207 =14.38 to the nearest tenth of an inch is 14inch.which is your answer
Pi is 3.14
1st # is 3.13
2nd # is 3.15
These numbers are irrational because pi=infinity
( I am not exactly sure if this is right so don't blame me if you get this wrong, I just tried to help.....) :T