Step 1
<u>Find the value of s</u>
we know that
In a Rhombus all sides are congruent
so


equate AB and CD

Combine like term


<u>The answer Part a) is</u>
the value of s is 
Step 2
<u>Find the value of side AB</u>

substitute the value of s

Remember that the sides are congruent

therefore
<u>the answer Part b) is</u>
The length of the side BC is 
Answer:
63°
Step-by-step explanation:
The sum of all interior angles of a triangle = 180°
Therefore:
x + 96° + 21° = 180°
x + 117 = 180
Subtract 117 from each side
x = 180 - 117
x = 63°
Answer:
a = (n + p)/m
Step-by-step explanation:
just divide by m on both sides
hope this helped!
Answer:
Brother is 70.5 and sister is 64.5
Step-by-step explanation:
you will need to set up a simple equation and give out variables.
Girls age = 6-x
Brother's age= x
the you will take those 2 and add them and place them equal to 135:
6-x+x=135
6-2x+6=135+6
The 6 cancels out
2x=141
2x/2=141/2
x=70.5
The brother's age would be 70.5 then and the girl's would be 64.5
Let
x-------> the length side of the original cube
we have

Divide by
both sides

The system of equations is equal to
--------> equation 
--------> equation 
using a graphing tool
see the attached figure
we know that
the solution of the system of equations is the intersection both graphs
therefore
the solution is

therefore
<u>the answer is</u>
