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melomori [17]
2 years ago
5

The measurement of the angle between West 1st Street and North Main Street is 30 ° less than the measurement of the angle betwee

n West 1st Street and South Main Street what is the measurement of the angle between North Main Street and East 1st Street
60 °
75 °
90 °
105 °​
Mathematics
1 answer:
Alexxx [7]2 years ago
8 0

Answer:

105

Step-by-step explanation: because when you look at North main Street and East 1st Street the angle is obtuse and 105 is the only obtuse angle.

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3 years ago
Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ
Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

3 0
3 years ago
June starts a savings account and puts $1,500 in it. She ears a compound interest of 3% in 3 years. How much is the balance?
MrMuchimi

Answer:

$1,635

Step-by-step explanation:

she makes $45 a year so if you multiply that by 3 you get $135

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3 years ago
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egoroff_w [7]
Answer :

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Hope this helps!
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3 years ago
Read 2 more answers
Solve for s<br><br> 1/3 s = 7
Vladimir79 [104]

Answer:

21

\frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21

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