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Mathematics

1 answer:

rewona [7]2 years ago

7 0

Answer:

Considerations:

$$y=-(x) \left \{ {{\text{if } x0} \atop {{\text{if } x> 0\text{ then }y$

$y=x\left \{ {{\text{if } x0}} \right.$

Also,

$-\frac{a}{b}=\frac{-a}{b}=\frac{a}{-b}, b\neq0$

A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.

The fraction $\frac{5}{-12}$ can be described as a positive number divided by a negative number, which always result in a negative quotient.

The fractions have same value, so Liam is correct.

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PQR is an isosceles triangle in which PQ = PR

otez555 [7]

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is ASA or Angle, Side, Angle and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that triangle QNR is congruent to triangle RMQ.

The image in the attachment shows the angles and their included side, which are colored.