Answer:
Step-by-step explanation:
Answer:
(-5, 1)
Explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Answer:
See below
Step-by-step explanation:
For a parallelogram m < A = m < C so:-
75 + 5x = 87 + 3x
2x = 12
x = 6
and m< A = 75 + 30 = 105
and m < C = 87 + 18 = 105
Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.
m < B = m < D
111 - 6x = 39 + 6x
-12x = -72
x = 6
m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75
So this has been proved.
The total weight of the other five items are 10.444 kg
<em>(round as you wish)</em>
Answer:
1/2 miles or 4/8 mi
Step-by-step explanation:
Plans to walk one mile or 8/8 ths of a mile, he walks 3/8 ths, then another 1/8 adds up to 4/8 ths. Leaving him with 4/8 ths left.
Answer:
2(2x-5)(2x+5)
Step-by-step explanation:
I think you meant to say 8x^2-50. If so then factoring this down should be easy. Since there is no x value in the middle the equation will have a positive and a negative number. This is also a perfect square therefore, this factors down to: 2(2x-5)(2x+5).