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kykrilka [37]
3 years ago
5

Which statement is true about this argument? premises: if an angle measure is greater than 90°, then the angle is an obtuse angl

e. the measure of ∠c∠c is 102°. conclusion: ∠c∠c is an obtuse angle.
a. the argument is valid by the law of syllogism.
b. the argument is not valid because the premises are not true.
c. the argument is not valid because the conclusion does not follow from the premises.
d. the argument is valid by the law of detachment.
Mathematics
2 answers:
Murrr4er [49]3 years ago
5 0

The answer would be law of detachmnet.

vazorg [7]3 years ago
3 0
Answer: option d. the argument is valid by the law of detachment.

The law of detachment consists in make a conlcusion in this way:

Premise 1) a => b
Premise 2) a is true

Conclusion: Then, b is true

Note: the order of the premises 1 and 2 does not modifiy the argument.

IN this case:

Premise 1) angle > 90 => obtuse

Premise 2) angle = 102 [i.e. it is true that angle > 90]]

Conclusion: it is true that angle is obtuse

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Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) The new figure and the original figure are not similar figures (see the explanation)

Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

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If all dimensions are changed proportionally, then the new figure and the original figure are similar

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If all dimensions are changed proportionally, then the new figure and the original figure are similar

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The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the  width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?​

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The new perimeter would be P=2(3L)+2W ----> P=6L+2W

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

Area

The original area is A=LW

The new area  would be A=(3L)(W) ----> A=3LW

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

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