Answer:
The friend's claim is not correct
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)
Example
A given line has a slope of
---> (is less than 1)
the slope of the line perpendicular to the given line is equal to

substitute


so
the perpendicular line don't have a positive slope
therefore
The friend's claim is not correct
Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
Answer: x = 2
3 = (1/2) (x+4)
3 = (1/2) (2+4)
3 = (1/2) (6)
3 = 3
The new value will be double of the old volume.
Step-by-step explanation:
Let l be the length of cube
w be the width of the cube
and
h be the height of the cube
then the volume of cube is given by:

Now,
Doubling the the length, 2l
The new volume will be:

Hence,
The new value will be double of the old volume.
Keywords: Volume, area
Learn more about volume at:
#LearnwithBrainly
13,000
if it is lower than 500 you round down,if it is higher than 500 you round up