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Diano4ka-milaya [45]
3 years ago
12

The number is even. It is nit divisible by 3. It is not divisible by 5. It is not greater than 9^2. Is it not less than 8^2. Wha

t is the nunber?

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

64, 68, 74, 76

Step-by-step explanation:

Ok so in a confusing way, the last two statements are telling you that the number is greater than 8^2, which is 64, and the number is less that 9^2, which is 81.

The number has to be even, so I will list the even numbers between those two numbers:

64, 66, 68, 70, 72, 74, 76, 78, 80.

It cannot be divisible by 3, which rules out 66, 72, 78

64, 68, 70, 74, 76, 80 remains

It cannot be divisible by 5, which rules out 70 and 80

64, 68, 74, 76  are the possible answers,

*Note: I believe I did this right, but because of the tricky wording of the last two statements, 64 may not be included.

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Step-by-step explanation:

Angles 1 and 3 are same as vertical pair, they are also same with angles 5 and 7 for same reason.

<u>Angle 8 is supplementary with angle 5, so:</u>

m∠1 = m∠3 = m∠5 = 180° - 64° = 116°

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