1. The area of the rhombus can be found by the formula
where 
are rhombus's diagonals.
Note that 
then
2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs
The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem
3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.
Use twice the Pythagorean theorem to find this height:
where x is projection of leg 12 cm and h is height.
Subtract the first equation from the second:
Then
Answer: 
Answer:
x=10 and W=12
Step-by-step explanation:
Let's solve the equations. First we need to understand that the problem can be solved because we have two variables (x, W) and two equations.
Now, we have the following equations:
3x+3W-66 making the equation equal to 0:
3x+3W-66=0 which can be express as:
3x=-3W+66
x=(-3W+66)/3
x=-W+22 (equation 1)
The next equation is:
12x+15W-300 making the equation equal to 0 and then divided by 3:
(12x+15W-300)/3=0 which is:
4x+5W-100=0 (equation 2), using equation 1 we can write:
4(-W+22)+5W-100=0
-4W+88+5W-100=0
W-12=0
W=12
Using W=12 in equation 2 we have:
4x+5W-100=0
4x+5*(12)-100=0
4x+(60)-100=0
4x-40=0
4x=40
x=40/4
x=10
In conclusion the solution for the equations are: x=10 and W=12.
Answer:
3 + 9x = 11x - 7
simplify
9x + 3 = 11x - 7
subtract 11x from both sides
-11x -11x
-2x + 3 = -7
get rid of constants first by subtracting by 3 from both sides
-3 -3
-2x = -10
divide both sides by -2 since that is the inverse operation of multiplication
/-2 /-2
X = 5
Answer:
x≤ -3/8
Step-by-step explanation:
Expand ;
Simplify
