THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
Let the missing angle be x.
By angle sum property,
- ∠x + 20° + 80° = 180°
- ∠x + 100 = 180°
- ∠x = 180° – 100°
- ∠x = 80°
So, <u>Correct choice</u> - [C] 80°.
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:119 4/7
Step-by-step explanation:
2/14+6/14+2/14+4/14+1/14+3/14+4/14= 22/14
10+35+10+12+24+15+12=118
118 22/14
119 8/14
119 4/7
The answer is very simple:
$50 multiplied by 2 (Cause it's 200%) equals to $100
$50 multiplied by 1,2 (Cause it's 120%) equals to $60
Then, you just do the substractions, so you get $40.
Hope I helped u
