Question

37.
Classify ABC by its angles if m<A= x m<B=2x and m<C= 3x

obtuse


right


isosceles


equilateral

Answer 1

8.
Which is the equation of the line that contains points (0, 5) and (5, 8)?

Answer 2

obtuse

Answer 3

To find the equation of a line passing through two points, we can use the point-slope formula:

The point-slope formula is: y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line, and m is the slope of the line.

Given points are (0, 5) and (5, 8). So, we can use the first point to calculate the equation.

Let's use the first point (0, 5):

To find the slope (m) of the line:
m = (y2 - y1) / (x2 - x1) = (8 - 5) / (5 - 0) = 3 / 5

Now we have the slope m = 3/5 and a point (0, 5).

Now use the point-slope formula to find the equation:
y - 5 = (3/5)(x - 0)
y - 5 = 3/5x
5y - 25 = 3x
3x - 5y + 25 = 0

Therefore, the equation of the line passing through points (0, 5) and (5, 8) is 3x - 5y + 25 = 0.