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dlinn [17]
3 years ago
9

Six more than three times a number is less than or equal to 96. d. Five less then half the distance from Jerod’ s home to the ma

ll is more then 6 miles
Mathematics
1 answer:
ozzi3 years ago
8 0

First statement : Six more than three times a number is less than or equal to 96.

Let us assume number be n.

We can repharse above statement as :

"6 more than 3 times of n is less than or equal to 96".

Therefore, we can write an ineuality as.

3 times of n = 3n

6 more than 3 times of n = 3n+6.

3n+6 ≤ 96.

_____________________________________________________________

Statement 2: Five less then half the distance from Jerod’ s home to the mall is more then 6 miles.

Let us distance from Jerod’ s home to the mall is d.

We can repharse above statement as:

5 less than 1/2 of d is more than 6 miles.

5 less than 1/2 of d = 1/2d -5 .

Therefore, we can write an ineuality as.

12d -5 > 6.


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Answer: the angles are: 30, 45, 75

Step-by-step explanation:

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if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

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the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

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