Combine like terms-- you can combine the k's:

Now you have:

Simply divide both sides by 2.5 to find the value of k:
B) 4/9 is correct
Mark with crown!
Answer:
b - 1/4 = 3 1/2
Step-by-step explanation:
b - 1/4 = 3 1/2
b - 1/4 = (3 + 1/2)
4b = 15
b = 15/
4
= 3.75
Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.
Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).
Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
Answer:
8x+12
Step-by-step explanation:
Remember that perimeter is all the sides combined. A rectangle has the same length and width for both sides.
P=2l+2w
P=2(4x-6)+2(12)
P=8x-12+24
P=8x+12