3 years ago

-10 + x < -10 Solve the linear inequality for x. plz help

Mathematics

1 answer:

kirill115 [55]3 years ago

4 0

Answer:

The linear inequality for x is -20.

Step-by-step explanation:

$- 10 + x < - 10 \\ \frac{ + 10 \: \: \: \: \: \: \: \: \: < - 10 \: \: \: }{ x < - 20}$

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Please help asap!!!

Tatiana [17]

Answer:

$w = 6$

Step-by-step 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.

$w = \frac{1}{2}(w + 6)$

$w = \frac{w}{2} + 3$ (distributive property of equality)

$w - 3 = \frac{w}{2}$ (subtraction property of equality)

$2(w - 3) = \frac{w}{2}*2$ (multiplication property of equality)

$2w - 6 = w$

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

$- 6 = - w$

Divide both sides by -1

$6 = w$

$w = 6$

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