Jeremiah plans to create a home theater with a wall-mounted TV and speakers. He would like the TV centered in the middle and the edge of each speaker 5 inches away from the TV Y. The wall is 116 inches wide, the TV is 68 inches wide, and each speaker Z is 7 inches wide. He drew a diagram to help himself envision the final design.
What are the center measurements for the left speaker
, TV
, and the right speaker
. Select three correct measurements.
To find the center measurements for the left speaker, TV, and right speaker, we need to consider the widths of the TV, speakers, and the distance between the TV and speakers.
The total width of the TV and the speakers is 68 inches (TV) + 7 inches (left speaker) + 7 inches (right speaker) = 82 inches.
To center the TV in the middle of the wall, we need to find the remaining space on either side of the TV.
The remaining space on each side of the TV is half of the width of the wall minus half of the width of the TV and speakers. This is calculated as (116 inches / 2) - (82 inches / 2) = 58 inches - 41 inches = 17 inches.
Therefore, the center measurements for the left speaker, TV, and right speaker are:
- Left speaker: 17 inches + 7 inches (speaker width) = 24 inches
- TV: 17 inches + 68 inches / 2 (half of TV width) = 51 inches
- Right speaker: 17 inches + 68 inches - 7 inches (speaker width) = 78 inches
So, the three correct measurements are 24 inches, 51 inches, and 78 inches.