Which one will we start with? I'll explain 21. multiply it out and the clean it up. you should end up with 140=A if I'm correct.
Answer:
A and B
Step-by-step explanation:
When rotating a point (or any shape around a certain point), none of the diameters of the shape will change. So for example, with this circle, when you rotate it around a point, the radius and circumference will not change because it has just rotated. It wont be on the x-axis though because point P is not on the x-axis an it is being rotated 180 degrees about point P. Just know that when you are rotating, nothing about the shape changes, all angles or measurements will be the same, it is just moving to a different place.
Hope this helped ^-^
Answer:
4x =16
Step-by-step explanation:
Hope this helps :)
Let

be an integer. Suppose there is a triangle with legs of length 16 and

. Then by the Pythagorean theorem, the length of the hypotenuse should be

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if

and

are integers, then so are

,

, and

.
However,

is not a perfect square trinomial, which means for any integer

, the length of the hypotenuse is not an integer, so such a triangle doesn't exist.
Answer:
$ 75.
Step-by-step explanation:
From the information above,
List price of model II = $240
Sale price of the clearance sale is 1/4 off the list price of Model II microwave oven and additional 1/5 of the sale price for oven that are scratched and dented.
Therefore,
Let the sale price be X,
= (1/4)*(list price) + (1/5)*X
X = (1/4)*(240) + (1/5)*X
X = 60 + (1/5)X
Solving for X,
X - (1/5)X = 60
(4/5)X = 60
X = (60*5)/4
= $75.