Answer:
AB=4×
DC=×+9
AD=6
BC=2y
Quadrilateral ABCD is a parallelogram if both pairs of Opposite sides are congruent. show that quadrilateral ABCD is a parallelogram by finding the Lengths of the Opposite side part
c 12,6
Answer with explanation:
The equation of any line with slope 'm' and passing through any point is given by
As we know that the general equation of a line with slope 'm' is
Comparing with the given equation we can conclude slope of the given line is
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines
Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular
Hence using the given and the obtained values the equation of the required line is
Part b)
The angle of intersection between 2 lines with slopes is given by
Comparing the equations of given lines
with the standard equation we get
Thus the angle of intersection becomes
Answer:
Age of Alice=25 years
Age of Jane=20 years
Step-by-step explanation:
We are given that the age of Jane is 80 % of the age Alice.
We have to find the age of Jane and Alice.
Let x be the age of Alice
According to question
Age of Jane=80% of Alice=80% of x=
Age of Alice=25 years
Age of Jane=
Age of Jane=20 years
Answer:
Yes
Step-by-step explanation:
The following figures are similar. Similar means they are the same shape with the same angles. They aren't congruent and only similar because they are different sizes. If you dilate the smaller rectangle, you can make the larger one.
Answer:
60
Step-by-step explanation:
TOTAL SURFACE AREA = AREA OF SQUARE+2×(AREA OF TRIANGLE)
=(6×6)+2×(1/2×6×4)
=36+24=60 square inches
I hope it helped you