First, let's change the coordinates using the translation




Now, let's reflect this across the horizontal line y=2.
The y-term in the point is -5. That is 7 units down from y=2. Now, add 7 units to 2. You get 9. Change the y-term to this number.


(5, 9) is your answer. Hope this helps! :)
Answer:
(i) 120°
Step-by-step explanation:
(i)
sine 90 = 1
sine 120 = 0.87 (rounded up to two decimal places)
sine 150 = 0.5
sine 180 = 0
sine 210 = -0.5
sine 240 = -0.87 (rounded up to two decimal places)
sine 270 = -1
sine 60 = 0.87 (rounded up to two decimal places)
So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°
Standard Form : ( x - 1 ) ^2 + ( y + 3 ) ^2 = 5
Center of the circle : ( 1 , -3 )
Radius: line mark over 5
Answer:
1st question: x = 17
2nd question: ∠A = 66°
Step-by-step explanation:
1st question-
all angles of a triangle adds up to 180. so,
(6x + 10) + (x + 17) + (4x - 34) = 180
6x + x + 4x + 10 + 17 - 34 = 180
11x -7 = 180
11x = 187
x = 187/11
x = 17
2nd question-
in an isosceles triangle, 2 of its angle are the same
here, ∠C & ∠B are equal
so,
180 - (57+57)
= 66°