Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
(
,
)
(
,
)
is m =
Slopes of perpendicular lines are opposite reciprocal:
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
=
=
Slope of perpendicular line through points (3, 5) and (k, 12) is
=
or
=
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>
Given that the initial dimension of the square garden is x, the initial area would become x². When any of the dimension is increased by 35 inches then, the area is increased by 35x. The statement that describes 35x is the additional area of the figure after it was extended for 35 inches.
Answer:
True
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
see the attached figure to better understand the problem
EF is the mid-segment of trapezoid
EF is parallel to AB and is parallel to CD
EF=(AB+CD)/2
so
The mid-segment of a trapezoid is always parallel to each base
therefore
The statement is true
Answer:64/18225
Step-by-step explanation:
Follow order of operations and the answer is 32