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:
a = -4
Step-by-step explanation:
Solve for a:
-7 (3 a - 1) = 91
Divide both sides of -7 (3 a - 1) = 91 by -7:
(-7 (3 a - 1))/(-7) = 91/(-7)
(-7)/(-7) = 1:
3 a - 1 = 91/(-7)
The gcd of 91 and -7 is 7, so 91/(-7) = (7×13)/(7 (-1)) = 7/7×13/(-1) = 13/(-1):
3 a - 1 = 13/(-1)
Multiply numerator and denominator of 13/(-1) by -1:
3 a - 1 = -13
Add 1 to both sides:
3 a + (1 - 1) = 1 - 13
1 - 1 = 0:
3 a = 1 - 13
1 - 13 = -12:
3 a = -12
Divide both sides of 3 a = -12 by 3:
(3 a)/3 = (-12)/3
3/3 = 1:
a = (-12)/3
The gcd of -12 and 3 is 3, so (-12)/3 = (3 (-4))/(3×1) = 3/3×-4 = -4:
Answer: a = -4
Answer:18 million and 300000
Step-by-step explanation:
Since light travels 180 million KM in 10 min, it would travel 180 million/10 in one minute. Thus, we get 18 million. As we know, there are 60 seconds in a min. Thus, there are 60*10=600 seconds in 10 minutes. Thus, 180 million/600 gives 300000
Answer:
Step-by-step explanation:
From the figure attached,
Measure of an angle = 20°
Measure of the opposite side = x
Measure of the adjacent side = 12
By applying tangent rule in the given right triangle,
tan(20°) = 
Therefore, equation to get the value of 'x' will be,
Answer:
132 sq ft
Step-by-step explanation:
