Answer:
AC:PC=8:5
Step-by-step explanation:
Draw a vertical line from D perpendicular to AB. Denote D' the intersection with I, and D'' intersection with AB. Consider the right triangle ADD". Realize that the lengths |DD"| and |DD'| are 3:5, which follows from triangles ADD" and MDD' being similar. This means that I bisects the trapezoid's height in a ratio 3:5.
Next, draw a vertical line perpendicular to AB, going through P. Denote P" the intersection of this line with AB, and denote P' the intersection of this line with DC. Observe that because lines CD || AB, the angles <BAC and <ACD are congruent. This implies triangles APP" and CPP' are similar with a side ratio 3:5, i.e., |AP|/|PC|=3/5. Therefore |AC|/|PC|=(|AP|+|PC|)/|PC|=|AP|/|PC|+1 = 8/5
The ratio AC:PC is 8:5
Answer:
-4
Step-by-step explanation:
Answer:
x + y = 12
x = 2y
Step-by-step explanation:
(4/3)x = 20
x = 15
The answer is 15
Distribute the negative so it becomes -5+-2x+7.
this then simplifies to -2x+2