Parallelogram ABCD is a rectangle.
1 answer:
Answer:
The value of y is: 7
Step-by-step explanation:
The figure of the rectangle ABCD is attached to the answer.
We are given that Parallelogram ABCD is a rectangle.
AC=6y−1
BD=4y+13
Diagonal BD and AC intersect each other at a point labeled as X.
Also we know that: The two diagonals of a rectangle are equal in length and bisect each other.
i.e. length of AC=BD
Hence 6y-1=4y+13
⇒ 6y-4y=13+1
⇒ 2y=14
⇒ y=7
Hence, AC=6×7-1=42-1=41
BD=4×7+13=41
Hence, the value of y is 7.
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Answer:
2 and -
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x + 9 ( divide all terms by 3 )
y = 2x + 3 ← in slope- intercept form
with slope m = 2
(i)
Parallel lines have equal slopes, thus
the slope of line t is 2
(ii)
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
the slope of line r is -