Answer:
n = 5
Step-by-step explanation:
- Move all terms not containing n to the right side of the equation.
7n = 31 + 4
7n = 35
- Divide each term by 7 and simplify.
n = 5
i hope this helps :)
Consecutive exterior angles
Answer: 1102
Explain: 8 x 9 = 72
72 x 3 = 216
216 x 5 = 1080
1080 - 4 = 1076
1076 + 28 = 1104
1104 - 2 = 1102
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
Step-by-step explanation:
the point-slope form is
y - y1 = m(x - x1)
where (x1, y1) is a point on the line.
m is the slope of the line, which is always (in any form) the factor of x.
the parallel line has -2/8 as factor of x, which is therefore also the slope of our new line (after all, it has to be parallel, so it must have the same slope).
so, we have
y + 5 = -2/8 × (x - 4)
which can be simplified, of course, to
y + 5 = -1/4 × (x - 4)