Answer:
148 degrees
Step-by-step explanation:
For a parallelogram, angles on the same side sum up to be 180
what this simply means is that they are supplementary
Mathematically, we have it that;
X + W = 180
W = 180 - X
W = 180 -32
W = 148 degree
Answer:
128.6
Step-by-step explanation:
I just did the math
Surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters
<u>Solution:</u>
Given that
Shape of the roof is square pyramid.
Base length of square pyramid roof = 10 meters
Slant height of square pyramid roof = 12 meters
Need to calculate the surface area of the roof
Where s is side of square base and l is slant height.
In our case s = 10 meters and l = 12 meters
On substituting the given values in formula we get
Surface area of square pyramid 
Hence surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters.
Answer:
No, mn is not even if m and n are odd.
If m and n are odd, then mn is odd as well.
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Proof:
If m is odd, then it is in the form m = 2p+1, where p is some integer.
So if p = 0, then m = 1. If p = 1, then m = 3, and so on.
Similarly, if n is odd then n = 2q+1 for some integer q.
Multiply out m and n using the distribution rule
m*n = (2p+1)*(2q+1)
m*n = 2p(2q+1) + 1(2q+1)
m*n = 4pq+2p+2q+1
m*n = 2( 2pq+p+q) + 1
m*n = 2r + 1
note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.
The result 2r+1 is some other odd number as it fits the form 2*(integer)+1
Therefore, multiplying any two odd numbers will result in some other odd number.
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Examples:
- 3*5 = 15
- 7*9 = 63
- 11*15 = 165
- 9*3 = 27
So there is no way to have m*n be even if both m and n are odd.
The general rules are as follows
- odd * odd = odd
- even * odd = even
- even * even = even
The proof of the other two cases would follow a similar line of reasoning as shown above.
Answer:
23
Step-by-step explanation:
