<h3>
Step-by-step explanation:</h3>
The point of intersection of the perpendicular bisectors of a triangle is the circumcenter, the center of the circle that contains the three triangle vertices.
If that center is on one side, that side must be a diameter of the circle. The diameter cuts the circle into two arcs, each of which measures 180°.
The third vertex of the triangle and its two legs form an inscribed angle that subtends an arc of 180°. The measure of that angle is half the measure of the arc, so the angle measures 90° and is a <em>right angle</em>.
A triangle with a right angle is a right triangle. QED
Answer:
y = - x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
rearrange 4x - 3y = 3 into this form
subtract 4x from both sides
- 3y = - 4x + 3 ( divide all terms by - 3 )
y = x - 1 ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = -
y = - x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - x ← equation of line
Answer:
Step-by-step explanation:
You know that "Z" is the midpoint of "YA". This means the following:
Now, you know that the expression for "YZ" is:
And the given expression for "ZA" is:
Knowing these expressions, you can substitute them into , as following:
Finally, you must add these expressions in order to get "YA".
Therefore, this is:
Answer:
D.
Step-by-step explanation:
Using trigonometric ratios formula, thus:
Reference angle = Z
Adjacent = 10
Hypotenuse = 26
Plug in the values into the formula
Simplify
Answer: c
Step-by-step explanation: if there is no y then its just x=-2