The correct answer would be Choice B: 4 square units.
When the scale factor is 1/5, that means the lengths of the sides are 1/5 of the original size. So instead of having a base of 20 and height of 10, the new triangle has a base of 4 and a height of 2.
The area of the triangle is: (4 x 2) / 2 = 4
Since each side of a sqare is equal and there are four sides to the square
X being the side length.
Then you would simiply divide by 4 to isolate x
A side length is 56
I’m assuming the question is what is the price of one mug WITHOUT the sale.
So since the price of 5 mugs is $28.20, we can work out the price of one mug with the sale.
We do this by doing:
$28.20 / 5
Which gives us:
$5.64 per mug during the sale.
To work out the price of a mug without the sale, we simply add on the amount that has been taken off (which we know is $1.75 because the question says so):
$5.64 + $1.75 = $7.39
Therefore we can conclude the price of a mug without a sale is $7.39
And the price of a mug during the sale is $5.64.
I hope this helps!
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
