Answer:
x = 5
Step-by-step explanation:
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<u>FACTS TO KNOW BEFORE SOLVING</u> :-
- In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. :
⇒ 
[∵ Bases are equal on both the sides]
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Lets express it in terms of 2.
Here the bases on both the sides are equal. Hence ,
Answer:
B
Step-by-step explanation:
Answer: ZR and ZS form a right angle
Step-by-step explanation:
Complementary angles are angles whose sum = 90ᴼ
If R and S are complementary, then their angle measures add to equal 90ᴼ
A right angle = 90ᴼ
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:
Jake does have enough to buy a dog bone that cost $1.49
Step-by-step explanation:
6 quarters = $1.50
2 dimes = $0.20
1 nickel = $0.05
So add it all together: $1.50 + $0.20 + $0.05 = $1.75
