Answer:
A.) ~~~
B.) y = 4
C.) AX = 8 and BD = 16
Step-by-step explanation:
A.) Opposite sides of a rectangle are always the exact same length. Opposite angles of a rectangle are always the exact same degree. And I'm not sure what they mean by diagonals, if they mean the lines intersecting the rectangle, then they are also always the exact same length, only if they both originate in the corners of the rectangle and extend to the opposite corner
B.) Line AC and line BD are equal in length. They are asking for half of line BD, (line BX). So do this, multiply (y + 4) by 2 to get (2y + 8). So now you have the value of line BD, (2y + 8). To solve for y, make the two lines equal each other.
- 4y = 2y + 8
- Subtract 2y from both sides to get 2y = 8
- y = 4
- Plug in 4 into the original equation for BX (y + 4)
- 4 + 4 = 8
- BX = 8
- To check this, plug in 4 for AC, 4 × 4 = 16, 16 ÷ 2 = 8
C.) Like I said, diagonal lines are equal, and if we found BX, which is 8, then that means AX equal 8 too. Then in order to find BD, multiply BX (or 8) by 2, which is 16
