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Lunna [17]
3 years ago
15

Why is the number 19/100 a rational number?

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

Answer:

  B. It is the quotient of 19 divided by 100

Step-by-step explanation:

A rational number is the quotient of two integers. 19/100 is the quotient of the integers 19 and 100.

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i think its -0.25

Step-by-step explanation:

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The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion
anzhelika [568]

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.


Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

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WHAT IS 225.45 + 90.32 ROUNDED TO THE NERST NUMBER
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Using set notations, we have that:

1. The range of the function is:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

<h3>What is the standard interval notation?</h3>

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

<h3>What is the range of the function?</h3>

The range of a function is the set that contains all possible output values for the function. In a graph, it is given by the values of y of the function.

Hence, for this problem, the range is given by these following notations:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

<h3>When is a quadratic function increasing and when it is decreasing?</h3>

Considering a concave up quadratic function, as given in this problem, we have that:

  • It decays for the values of x before the vertex.
  • It increases for the values of x after the vertex.

In this problem, the vertex is at x = 3, hence the intervals are given as follows:

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

<h3>When a function is negative?</h3>

A function is negative when it's graph is below the x-axis. Hence, for this problem, we have that:

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

More can be learned about set notations at brainly.com/question/24462379

#SPJ1

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