Question

1. find the measurement indicated.

tq = 2x - 6
tv = 3x - 5
find tv

Explanation:

Step1: Use parallelogram diagonal property

In a parallelogram, diagonals bisect each other, so $TV = 2 \times TQ$.

Step2: Substitute given expressions

$$3x - 5 = 2(2x - 6)$$

Step3: Expand right-hand side

$$3x - 5 = 4x - 12$$

Step4: Solve for $x$

$$-5 + 12 = 4x - 3x$$
$$x = 7$$

Step5: Calculate $TV$

Substitute $x=7$ into $TV=3x-5$:
$$TV = 3(7) - 5$$

Answer:

16