Mr. Alice just purchased a brand new wireless surround sound system for his living room. This is
the latest HD sound technology and comes with a sound bar, and 4 other speakers. Based on
directions that came with the system, the speakers should be placed as closely as possible to the
following diagram. Doing so will maximize the quality of the sound system. The distance from the TV to
the back of the couch is 9ft. How far away from the TV does Mr. Alice need to place the rest of the
speakers? (Your Answer should be in feet and whole inches)

1. 34

2. 268

3. x=14.4

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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.