the table shows the proof of the relationship between the slopes of two perpendicular lines. what is the missing statement in step 2?
a. ab/bc = ed/ce
b. ab/ce = be/ed
c. ab/bc = ce/ed
d. ab/ce = ed/bc

D. AB/CE = ED/BC

Step-by-step explanation:

In this question you apply the side-Angle-side similarity property that makes the two right triangles similar.

In this property, the lengths of the corresponding legs of the two right triangles are proportional.

Hence

Leg AB corresponds to leg CE

Leg ED corresponds to leg BC

From the property;

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: