Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Total possible outcomes = 4
Total no. of favorable outcomes = 2
Answer:
Area of parallelogram= base × perpendicular height
base= 20cm height= 13
Area= 20cm×13cm
Area= 260cm²
Therefore the area of the parallelogram is 260cm²
The answer to this would be x = 20
Answer:
x = 85 deg
Step-by-step explanation:
We can see that there are two straight lines that intersect and that the two angles given are opposite angles.
Because they are opposite angles, the two angles have the same value, i.e
(x + 5) = 90 (subtract 5 from each side)
x = 90 - 5
x = 85 deg