we are given
equilateral triangle
we can see that triangle ACD is a right angled triangle
so, we can use Pythagoras theorem for this triangle
hypotenuse=AC
Adjacent=CD
opposite=AD=a
and
now, we can use Pythagoras theorem
and we get
now, we can plug values
now, we can solve for a
so, option-A..........Answer
Answer: The required equation is
Step-by-step explanation: We are given to write the following statement as an equation :
"The sum of one-third of a number, one-half of a number and twice the number is thirty-four".
Let the number be represented by x.
Then, one-third of the number is one-half of the number is and twice the number is
Therefore, as an equation, the given statement is written as:
Thus, the required equation is
Answer:
105
Step-by-step explanation:
Angles HJG and HJG form a straight line so they add to 180
< HJG + < FJG = 180
75 + <FJG = 180
<FJG = 180-75
<FJG = 105
Answer: ) The slope is equal to zero
2) The slope is undefined
Step-by-step explanation:
we know that
The lines that are parallel to the x-axis (horizontal line) have a slope equal to zero
The lines that are parallel to the y-axis (vertical line) have a slope undefined
so
The line
Is a vertical line -----> is parallel to the y-axis
The slope is undefined
Part 1)
The slope of a line that is perpendicular to it will be a horizontal line
so
the slope is equal to zero
Part 2)
The slope of a line parallel to it will be also a vertical line
so
the slope is undefined