Answer:
It would be 66
Step-by-step explanation:
With 5 elements in A={20,1,6,10,11}, there are 2^5=32 possible subsets, including
the null set, and A itself.
Any subset that is identical to A is NOT a proper subset.
Therefore there are 31 proper subsets, plus the subset {20,1,6,10,11}.
The subsets are:
null set {} (has no elements) ........total 1
{20},{1},{6},{10},{11}.......................total 5
{20,1},{20,6}...{10,11}.....................total 10
{20,1,6},{20,1,10},...{6,10,11}.........total 10
{20,1,6,10}...{1,6,10,11}.................total 5
{20,1,6,10,11}.................................total 1
Altogether 32 subsets.
Answer: The correct option is (D) 36.
Step-by-step explanation: We are given to find the value of 'y' that would make OP parallel to LN.
MO = 28 units, OL= 14 units, Pl = 18 units and MP = y = ?
From the figure, we have
if OP ║ LN, then we must have
∠MOP = ∠MLN
and
∠MPO = ∠MNL.
Since ∠M is common to both the triangles MOP and MLN, so by AAA postulate, we get
ΔMOP similar to ΔMLN.
We know that the corresponding sides of two similar triangles are proportional, so
Thus, the required value of 'y' is 36.
(D) is the correct option.
Answer:
E
Step-by-step explanation:
11x-4<15
11x<11
x<1
12x-7>-25
12x>-18
x>-3/2
x<1 or x>-3/2, that covers the whole x-axis domain
Art teachers use their eyes and judge the art.
