A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.
Explanation:
There are six important properties of a parallelograms:
- The opposite side of a parallelogram is always equal.
- The opposite angle of a parallelogram are congruent.
- The consecutive angles of a parallelogram are supplementary.
- In a parallelogram if one angle is right then all the angles are right.
- The diagonals of parallelogram bisect each other.
- Each diagonal of a parallelogram separates it into two congruent triangle.
The answer to the above question is (B) Diagonals bisect opposite angle.
Answer:
x = 32
Step-by-step explanation:
∠BCA = ∠DBA (90 - ∠DBC)
∠A = ∠A
ΔABD similar to ΔACB
AC/AB = AB/AD
x / 8 = 8 / 2
x = 32
Answer:
2550
Step-by-step explanation:
I'm assuming the interest is annual.
so this is breaking the 6000 into two parts, I am going to call them A and B. i will say A is invsted at 4% and B is invested at 6%
It then tells us the amount of interest gaied from B is $15 more than the interest gained from A. We basically use a system of equations.
A + B = 6000
.06B - .04A = 15
Let me know if you don't see how I got these equations. I will go ahead and solve.
A + B = 6000
Gonna solve for A so I can plug it into the other eqaution and solve for B, which is what the question is asking for. You can get both either way though.
A = 6000 - B
Plug this into the other equation.
.06B - .04A = 15
.06B - .04(6000 - B) = 15
.06B - 240 + .04B = 15
.1B = 255
B = 2550
this means A is 3450. You can check by seeing what theinterest is for each.
2550*.06 = 153
3450*.04 = 138
153 is 15 more than 138 so everything checks out.
