Step-by-step explanation:
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram
We know that
<span>The angular velocity is 10π rad/sec
step 1
convert to rad/min
1 min-----60 sec
X min----> 1 sec
X=1/60 min
V=</span>10π rad/(1/60)------> V=600 π rad/min
the answer is the option
<span>D)The angular velocity is 600π rad/min.</span>
Answer: There are 198 different combinations.
Step-by-step explanation:
To solve this type of problem, first, we need to identify the selections.
We have 3 selections.
Baby doll, Jigsaw puzzle, and a stuffed dog.
Now, we need to count the numbers of options for each case:
Baby doll: 11 options.
Jigsaw Puzzle: 6 options.
Stuffed dog: 3 options.
To find the total number of different combinations, we need to multiply all the numbers of options together, this is:
Combinations = 11*6*3 = 198
There are 198 different combinations.
Using the Theorem of Pythagoras (a² + b² = c²)
Put in the values:
12² + 12² = 28²
Is it correct? (solve)
Nope! Because 12² + 12² = 288, and the square root of 288 is about 17, not 28.
The answer is no, 12cm, 12cm, 28cm cannot form a triangle.
Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)