Answer:
35 degrees
Step-by-step explanation:
To start off, the term "acute angle" means less than 90 degrees. In this case, the acute angle is 55 degrees.
The type of triangle mentioned in the question is a right-angled triangle, meaning it has a right triangle (90 degrees) along 2 other triangles. A triangle is generally 180 degrees. So now that we know the value of 2 out of 3 angles we do simple math.
Assume the unknown angle is A.
55 + 90 + A = 180
A = 35
Answer:
d) (-3/2, -1/2)
Step-by-step explanation:
The midpoint (M) between two given points is the average of their coordinate values:
M = (A + B)/2 = ((-8, 1) +(5, -2))/2 = (-3, -1)/2
M = (-3/2, -1/2) . . . . . matches choice D
Draw a perpendicular segment from point C to the midpoint of AB. Using the trig sine function sin 80 = x/6 which gives 5.91 for the perpendicular segment. Using the formula A=1/2bh, A= 1/2 x5.91x2sqrt 2 A= 8.4
The equation is 
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is

So, the midpoint will be 
= 
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula 
The slope is
= 
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
is 
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:

Thus, the equation becomes:
