Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
x=5
Step-by-step explanation:
Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.
Since the two legs have equal length, they are both x. Using the pythagorean theorem:
(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).
You can add (x^2) and (x^2) because they are the same terms (x squared).
Simplifying like so gives you:
2x^2=50
Dividing by two on both sides:
x^2=25
Taking the square root of both sides:
x=5
Answer:
The required equation is:

Step-by-step explanation:
To find the equation of a line, the slope and y-intercept is required.
The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.
Given points are:

We will find the slope of given line segment first

Let m_1 be the slope of perpendicular bisector then,

Now the mid-point

We have to find equation of a line with slope -3/2 passing through (2,6)
The equation of line in slope-intercept form is given by:

Putting the value of slope

Putting the point (2,6) to find the y-intercept

The equation is:
