Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.
Answer:
x = 8
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
sin30° =
, then
sin30° =
=
=
( cross- multiply )
x = 8
-7 is the answer to this question
Answer:
C is correct
Step-by-step explanation:
Given: System of linear inequality


First we will draw the graph of system of equation and then see the correct option.
Equation 1: 
We will make the table.
x : -2 0 2
y : 1 0 -1
Test Point: (0,4)
0<-2 ( False )
Shaded area away from (0,4)
Equation 2:
We will make the table.
x : -2 0 2
y : -1 3 7
Test Point: (0,4)
4≥3 ( True )
Shaded area towards (0,4)
Please see attachment for graph.
Hence, C is common shaded area (region)