Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.
| 8 | | 1 | | 6 |
-------------------
| 3 | | 5 | | 7 |
-------------------
| 4 | | 9 | | 2 |
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case here : 1/5
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case that means y increases by 1 for every increase of x by 5.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
so, here the perpendicular slope is : -5/1 = -5
the line function looks therefore like
y = -5x + b
b is the y-intercept, and we get it by using the coordinates of the point for x and y :
-8 = -5×0 + b = b
so, the full line function is
y = -5x - 8
Answer:
A postulate :)
Step-by-step explanation:
This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.
Hope this helps!
ANSWER: The equation of a line in slope-intercept form looks like the following: y = mx + b
where m is the slope of the line and b is the y-intercept.
Given any 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).
So, Whenever the slope (m) is undefined it means that when you try to
calculate the slope given any 2 points on the line you'll end up with a
zero in the denominator, which is undefined. That is, with an undefined
slope you end up with a vertical line, which has the equation "x=some
number".
m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical.
So the equation of a line, in slope-intercept form, with an undefined
slope (m=undefined) crossing through the point (-3, 5) is: x= -3 ,
which is a vertical line.
Hope this helps you
