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2 years ago

Negative odd numbers greater than -40 but less than -28?

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

The set of negative numbers greater than -40 but less than -28 is:

X = {-39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29}

Odd numbers are numbers that cannot be divided completely by 2 without a remainder.

Negative odd numbers are negative numbers that cannot be divided completely by 2 without any remainder

Let the set of odd numbers greater than -40 but less than -28 be represented by X

This can be written in set notation as:

X = {x | -40 < x < -28}

This means that the numbers range from -39 to -29

By listing, the set of negative numbers greater than -40 but less than -28 is:

X = {-39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29}

Learn more here: brainly.com/question/15387365

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<h3>Further explanation</h3>

We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that $\boxed{ \ \overline{AC} \cong \overline{AC} \ }$ is reflexive.
The length of the base of the triangle is the same, i.e., $\boxed{ \ \overline{BC} = \overline{CD} \ }$ .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely $\boxed{ \ AC \bot BD \ }$ . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

$\boxed{ \ \overline{BC} = \overline{CD} \ }$
∠ACB = ∠ACD
$\boxed{ \ \overline{AC} = \overline{AC} \ }$

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The following is not other or additional information along with the reasons.

∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and $\boxed{ \ \overline{AC} \cong \overline{AC} \ }$
∠BAC = ∠DAC no, because that is ASA with $\boxed{ \ \overline{AC} \cong \overline{AC} \ }$ and ∠ACB = ∠ACD.
$\boxed{ \ \overline{BC} = \overline{CD} \ }$ no, because already marked.

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Notes

The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

<h3>Learn more</h3>

Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
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About vertical and supplementary angles brainly.com/question/13096411

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