Simplify the following:
1/3 - 1/6 + 4/18
The gcd of 4 and 18 is 2, so 4/18 = (2×2)/(2×9) = 2/2×2/9 = 2/9:
1/3 - 1/6 + 2/9
Put 1/3 - 1/6 + 2/9 over the common denominator 18. 1/3 - 1/6 + 2/9 = 6/18 - 3/18 + (2×2)/18:
6/18 - 3/18 + (2×2)/18
2×2 = 4:
6/18 - 3/18 + 4/18
6/18 - 3/18 + 4/18 = (6 - 3 + 4)/18:
(6 - 3 + 4)/18
6 + 4 = 10:
(10 - 3)/18
10 - 3 = 7:
Answer: 7/18
7(x+14)=-343
Use distributive property
7x+98=-343
Subtract 98 for both side
7x=-441
Divided 7 for both side
x=-63. Hope it help!
Answer:
6,000
Step-by-step explanation:
Answer: D. Both triangles have an obtuse angle
This is because it says "Each triangle has <u>1 obtuse angle</u> and 2 acute angles" in the instructions. An obtuse angle is any angle between 90 and 180 degrees, excluding both endpoints.
An integer is a number that comprises of natural numbers like 0,1,2,3,4... so on and negative whole numbers like -1,-2,-3 and so on.
Multiplication Rules:
1. Product of two positive integers is always POSITIVE.
Eg: 
2. Product of two negative integers is always POSITIVE.
Eg: 
3. Product of a negative integer and a positive integer is always NEGATIVE.
Eg: 
Quotient Rules:
1. Positive integer divided by a positive integer is always POSITIVE.
Eg: 
2. Positive integer divided by negative integer or negative integer divided by a positive integer is always NEGATIVE.
Eg: 
3. Negative integer divided by a negative integer is always POSITIVE.
Eg: 