Answer:

Step-by-step explanation:
Given: trapezoid RSTU with vertices R(-1, 5), S(1, 8), T(7, -2), and U(2, 0).
Plot these points on the coordinate plane. As you can see, lines RU and ST are parallel lines and segments ST and RU are bases of the trapezoid.
The median of the trapezoid (the middle line) passes through the midpoints of the sides RS and TU. Find these midpoints:

The equation of the line MN is

Answer:
k=2 k=-8
Step-by-step explanation:
The area of the given figure is 38 square units
<h3>Area of a trapezoid</h3>
The area of the given trapezoid is expressed as:
A = 0.5(a+b)h
where
a and b are the sides
h is the height
Substitute
A = 0.5(9+10) * 4
A = 19 * 2
A = 38 square units
Hence the area of the given figure is 38 square units
Learn more on area of trapezoid here: brainly.com/question/1463152
#SPJ1
Answer: y = (-3x/2) + 1
Step-by-step explanation:
From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.
Hence the equation will be
y = (-3x/2) + c
As this line passes through (-2,4), putting these values in this equation gives c = 1.
Hence the answer is y = (-3x/2) + 1
Answer:
90.09 m
Step-by-step explanation:
47.5 * 3.3 /1.74 = 90.09