Find the value of x in the diagram below.

The answer to your question is  x = 2

Step-by-step explanation:

Process

1.- Use proportions to solve this problem

2.- Solve for x

                        46(4x + 2) = 23(2x + 16)

Expand

                        184x + 92 = 46x + 368

Simplify

                        184x - 46x = 368 - 92

                         138x = 276

                              x = 276/138

Result

                              x = 2

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

a c

step-by-step explanation: