Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:
mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)
Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2
Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3
We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6
In short, Your Final Answer would be: y = -2/3x + 6
Hope this helps!
4a+9=(-9+30-25). 4a+9=30-34. 4a+9=-4. 4a=-13. A=-3.25 :)
Hello There!
First let me say this. I did not like how this question was worded I am a tutor in math and I had to read this problem over and over 5 times. It was confusing but I managed to figure it out. The answer is 61%
My work is shown on paper
Answer:
D = 108°
F = 180°
H = 252°
I = 288°
Explanation:
Every regular polygon with <em>n </em>sides can be divided into <em>n</em> congruent triangles. The angle with vertex the center of the polygon will measure 360 : <em>n </em>degrees. This will also be the angle of rotation under which the polygon matches itself.
We are given a regular decagon, therefore:
<em>n </em>= 10
α = 360 : <em>n </em>= 36°
We consider that, if the decagon is not rotated, A' coincides with A and the rotation is towards the next letter of the alphabet. This means that after one rotation of 36° A' will coincide with B, after two rotations A' will coincide with C and so on.
A' will coincide with D after three rotations: 3 × 36° = 108°
A' will coincide with F after five rotations: 5 × 36° = 180°
A' will coincide with H after seven rotations: 7 × 36° = 252°
A' will coincide with I after eight rotations: 8 × 36° = 288°
Step-by-step explanation:
slope(m)= y2-y1/x2-x1
-2-6/4+2
= -8/6
= -4/3
