The angles inside a triangle add up to 180°
The 3rd angle is supplementary to (6x+1)°
Supplementary means they make a straight line (i.e 180°)
1st angle = 79°
2nd angle = (2x+10)°
3rd angle = 180° - (6x+1)°
180 = 79 + (2x+10) + 180 - (6x+1)
180 = 79 + 2x + 10 + 180 - 6x - 1
combine like terms
180 - 180 - 79 - 10 + 1 = 2x - 6x
-88 = -4x
-88/-4 = x
22 = x
Answer: Yes. The area is 1089 square feet.
Step-by-step explanation:
For a square, all the sides are equal: L = W
Hence, the perimeter of a square = 4 × L
Perimeter = 4L
132 = 4L
132 ÷ 4 = L
33 = L = W
Area of a square with 33 feet sides = L × L = 33 × 33 = 1089
1089 > 1000
You're looking for 2/9 of 3/6 which means you are solving 3/6 ÷ 2/9.
When I was in sixth grade, my teacher always said "Dividing fractions, easy as pie. Flip the second and multiply." At the time, I thought I was too old for stuff like that, but now, I'm in ninth grade, and I haven't forgotten it. If you learn one thing, learn fractions, and learn them well because they never leave.
Anyway, 3/6 ÷ 2/9 becomes 3/6 × 9/2. Another thing from my teacher: "Multiplying fractions, no big problem. Top times top over bottom times bottom." So, 3 × 9 = 27 and 6 × 2 = 12. 27/12.
To make that a mixed number, do 27 ÷ 12. 12 goes in 2 times. This is the big number in your mixed number, your coefficient. Then you have 3 left over. (12 × 2 = 24. 27 - 24 = 3.) This is your numerator. And 12 is still your denominator.
Your answer is 2 3/12, which simplifies to 2 1/4.