Hie!! I will be solving the questions in the sequence of the attachments.
_______________________________________
4. As line SU and TV are intersecting each other at O.
A.T.Q, ∠UOV = (7x - 4)°
∠SOT = 87°
Then, ∠UOV = ∠SOT {Vertically Opposite Angles}
_______________________________________
5. radius = 17ft
circumference of circle = 2πr
_______________________________________
3. ∠1 and ∠2 - add to 180 (linear pair)
∠1 and ∠3 - equal (Vertically Opposite Angles)
∠3 and ∠4 - add to 180 (linear pair)
∠2 and ∠4 - equal (Vertically Opposite Angles)
_______________________________________
2. 160° + (6x - 16)° = 180° (linear pair)
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5
Here is the step by step answer.
Answer:
2. This is only true when x=-3.
3. This is only true when x=3.
4. This is only true when x=12.
5. This has no solution.
6. This has an infinite number of solutions.
Answer:
Kaylynn=$270
Amanda=$250
Step-by-step explanation:
Kaylynn=8.25x32.5=268.125 but since its estimated we round it up to 270.
Amanda=8.75x28.5=249.375 but since its estimated we round up to 250.
