Draw some lines and we get some special 30-60-90 triangless
se diagram
so using my math
remember that if the hyptonuse is 2x then angle oposite the 30 degree is x and angle oposit the 60 degree is x√3
so
we have a kite and know the lengths of he diagonals
we do
(9+3) times (3√3) to find the area total which is 36√3
then, we find teh area of the sector not shaded
the area of the sector is (120/360) times the area which is pi6^2
so
1/3 times 36pi or 12pi
so
36√3-12pi≈24.6547 square units
Answer:
d <-15
In interval notation
(-∞,-15)
Step-by-step explanation:
-7d>105
Divide each side by -7. remembering to flip the inequality
-7d/-7 < 105/-7
d <-15
Answer:
60
Step-by-step explanation:
Since the angles A, D, and G are congruent then sum of given angles is eaqual to 180 degrees
x + 20 + 2x + x = 180 add like terms
4x + 20 = 180 subtract 20 from both sides
4x = 160 divide both sides by 4
x = 40
Angles B, E, and H are congruent so E is also = x + 20 and x = 40 so angle R = 60
Answer:
I think that A, B, and C are correct.
Step-by-step explanation:
1. Since measures 2 and 3 are a linear pair, they equal 180 degrees. A is correct.
2. Since measures 3 and 4 are also a linear pair, they too equal 180 degrees. B is correct.
3. Measures 2 and 3 are already established to be 180 degrees (check answer 1) , and measures 3 and 4 are also 180 degrees (check answer 2). Since they are both 180 degrees, they are congruent (equal), so C is correct.
D is NOT correct. Measures 1 and 3 are equal because they are vertical angles. We also know that they are acute angles (less than 90) so adding them together will equal less than 180 degrees.
Measures 2 and 4 are equal because they are vertical angles, and they are obtuse (more than 90 degrees). Adding them together will equal more than 180 degrees.
Logic tells us that something less than 180 CANNOT be equal to something more than 180. This proves that 2 and 4 and 1 and 3 are not congruent.
D is WRONG