Point G is on line segment FH. Given FH = 5x + 2, GH = 5x – 9, and
1 answer:
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Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Answer:
Step-by-step explanation:
The equation of a line is given in the form
Where
m is the slope with formula
and
b is the y-intercept [y axis cutting point of line]
Given the two points (0, -2) and (6,0),
x_1 = 0
y_1 = -2
x_2 = 6
y_2 = 0
Now, we find m using formula:
Now we have
Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:
Thus,
equation of line =