Answer:
m = 20°, n = 35°
Step-by-step explanation:
First, find n. We know that the base angles of an isosceles triangle are equal and that angles in a triangle add up to 180°. This means that:
- 110 + n + n = 180° - now simplify:
- 110 + 2n = 180° - subtract 110 from both sides:
- 2n = 180 - 110 - simplify again:
- 2n = 70° - divide both sides by 2:
- n = 35°
Now we know n, we can find m. The whole diagram is a triangle with angles of 90°, 35° (n) and the final angle can be split into m + n (m + 35°). This means that 125° + m + 35 = 180° (125 came from doing 90 + 35):
- 125 + m + 35 = 180° - now simplify:
- 160 + m = 180° - subtract 160 from both sides
- m = 180 - 160 - simplify
- m = 20°
Hope this helps!
Answer:
3a +4 = 5
Step-by-step explanation:
that is the answer i don't know how to explain it.
Answer:
82.31
Step-by-step explanation:
I believe this is correct, if it isn't feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
The answer would be n<4 because 4 is greater than n.
