Question

Please help asap!!!

Answer 1

`w = 6`

Explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

`w = (1)/(2)(w + 6)`

`w = (w)/(2) + 3` (distributive property of equality)

`w - 3 = (w)/(2)` (subtraction property of equality)

`2(w - 3) = (w)/(2)*2` (multiplication property of equality)

`2w - 6 = w`

`2w - 6 - 2w= w - 2w` (subtraction property of equality)

`- 6 = - w`

Divide both sides by -1

`6 = w`

`w = 6`