The required equation of line is:
Step-by-step explanation:
Given
m=-1
And point (2,-1)
The general form of slope intercept form of equation of line is:
Putting the value of the slope
To find the value of b, putting (2,-1) in the equation
Putting the values of b and m in equation
The required equation of line is:
Keywords: Equation of line
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Answer:
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Answer:
10
Step-by-step explanation:
Use order of Operations - PEMDAS
First, (2x3) = 6
Now you have, 1+6-(-3)
Then take the -(-3) and make it +3, cause a subtraction and negative sign make a positive.
Now you have, 1+6+3
Then add it all together to get 10
PART A. a=123, b=123, c=57
The angle that is labeled as 123 degrees is an alternate interior angle to b. Alternate interior angles are congruent, meaning that b=123.
a and b are vertical angles. Vertical angles are congruent, meaning that the angles for angle a and angle b are the same. So a=123.
C is a linear pair angle. Meaning that 123 and angle c equals to 180 degrees.
So you do 180-123 which would equal to 57.
PART B. d=98, e=98, f=98
The angle with the degree of 82 and angle f are linear pair angles. Meaning that when added together, they equal to 180.
So you do 180-82, which would equal to 98. F=98.
Angles d and f are corresponding angles. Corresponding angles are congruent. So if f equals to 98, then d also equals to 98.
Angles d and e are vertical angles. Vertical angles are congruent. So angle e also equals to 98 degrees.
PART C. g=75
The angle with the degree of 75 are alternate interior angles to angle g. Alternate interior angles are congruent. Meaning that g equals to 75 degrees.
The volume becomes 1/3 of the original. With a rectangular base, volume of a pyramid is V=(length*width*height)/3. Cutting the height to 1/3 of the original length will make the total volume 1/3 of the original volume.