Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4
<h3>
Answer: (4,2)</h3>
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The given points are T(3,1) and U(5,3)
The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.
The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.
The midpoint is (4,2)
Effectively, we just used the midpoint formula

In short: add the corresponding coordinates, then divide by 2.
Answer:
41
Step-by-step explanation:
41:2= 20 with remainder of 1
41:4=10 r:1
41:5=8 r:1
41:8=5 r:1
41:10=4 r:1
Answer:
C
Step-by-step explanation:
We know that there are 2 pairs of congruent angles, angles B and E along with the pair of right angles.