Answer:
$0.80
Step-by-step explanation:
percent times the original number equals the part
(%)(start or total cost)= (part of the total cost). you need to know the total cost, so you would fill in the part and the percent. 0.9x=0.72. you use x because you don't know what the total cost is. then you divide both sides by 0.9 to get x by itself and you get that x = 0.8, meaning that the present costs $0.80.
Simplifying the expression would be 19.76.
Answer:
240 cm^3
Step-by-step explanation:
Volume of a rectangular prism = base area x height
the base is a rectangle, thus base area = width x length = 4 x 5 = 20 cm^2
20cm^2 x 12 = 240 cm^3
<h3>
Answer: 31 degrees</h3>
This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.
Note: dilations will change the side lengths
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261
Since, we assumed that the diagonals dont bisect each other,
OC≠OA
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261
∠AOD≅∠BOC as they are vertical angles,
∠OAD≅∠OCB they are alternate interior angles
AD≅BC, by definition of parallelogram
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
