Answer:
k = 29
Step-by-step explanation:
5k - 3 + 9 + k = 180
6k + 6 = 180
6k = 180 - 6 = 174
k = 174/6 = 29
I don't quite understand the last answer, do you happen to have an image you can show me?
Answer:
EF , HG , Parallel
Step-by-step explanation:
Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.
Also given that AB was parallel to DC.
Now we have to fill in the certain blanks.
Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.
Also HG is parallel to DC, EFGH is a translated image of ABCD.
Also we are given that AB is parallel to DC. Hence we have following results.
AB║DC
AB║EF
Hence CD║EF
also
CD ║HG
CD║EF
Hence we can come to conclusion that
EF║HG
Hence our answer will be
corresponding segments EF and HG are parallel to each other.
The angle < pi/2 and whose sine is 1/2 is pi/6
so let 4x = pi/6 and we have x = pi/24 which is one solution.
angle in second quadrant = 5pi / 6 so x = 5pi/24 is another solution.
Each of these will give new angles as we revolve around the circle in steps of pi/2 so for x = pi/24 next one will be 13pi/24 and for x = 5pi/24 next one will be 17pi/24 This will be true for all angles less than 48pi/24 (ie 2pi)
so there will be 8 solutions
Answer:
x=-3
x=-5
Step-by-step explanation:
