All expressions except D are equivalent to 4r+4
Answer:
x = 17
Step-by-step explanation:
Since the triangle is isoceles that means angle UTV is also 43 degrees. The sum of all angles in a triangle is 180 degrees. So construct this equation. 43 + 43 + 43 + 8x - 42 = 180. Now solve for x.
Since M divides segment AB into a ratio of 5:2, we can say that M is 5/(5+2) of the length of AB. Therefore 5/7 × AB.
distance of AB = d
5/7×(x2 - x1) for the x and 5/7×(y2 - y1) for the y
5/7×(8 - 1) = 5/7 (7) = 5 for the x
and 5/7×(16 - 2) = 5/7 (14) = 10 for the y
But remember the line AB starts at A (1, 2),
so add 1 to the x: 5+1 = 6
and add 2 to the y: 10+2 = 12
Therefore the point M lies exactly at...
A) (6, 12)