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3 years ago

Why is the inequality x≤6 equivalent to the inequality x−5≤6−5

Mathematics

1 answer:

Monica [59]3 years ago

8 0

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1 |add 5 to both sides

x ≤ 6

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sladkih [1.3K]

Answer: $\angle WXY=125^{\circ}$

Explanation: Since, a kite has one pair of congruent angles and its main diagonal bisects its opposite angles.

Therefore, According to the given figure,

$\angle WXY=\angle WZY$

And, WY is the main diagonal which bisects angles ZWX and XYZ.

So, $\angle ZWX =2\times \angle ZWY= 2\times 43^{\circ}=86^{\circ}$

And, $\angle XYZ =2\times \angle XYW= 2\times 12^{\circ}=24^{\circ}$

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Therefore, $\angle WXY+\angle WZY+\angle XYZ+\angle ZWX=360^{\circ}$

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⇒ $2\times \angle WXY=360^{\circ}-110^{\circ}=250{\circ}$

⇒ $\angle WXY=125^{\circ}$

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What are three ratios that are equivalent to 15:38

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