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. The wall is 116 inches wide, the TV is 68 inches wide, and each speaker 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 Y, and the right speaker Z. Select three correct measurements.
The center measurements for the left speaker, TV Y, and the right speaker Z can be calculated as follows:
1) TV Y: To find the center measurement for the TV, divide its width by 2: 68 inches / 2 = 34 inches.
2) Left Speaker: The edge of the left speaker is 5 inches away from the TV, so add this distance to the center measurement of the TV: 34 inches + 5 inches = 39 inches.
3) Right Speaker: For the right speaker, subtract its width of 7 inches from the remaining space on the wall after positioning the TV and left speaker: 116 inches - 68 inches - 7 inches = 41 inches.
Therefore, the correct measurements are:
- Left Speaker: 39 inches
- TV Y: 34 inches
- Right Speaker: 41 inches