Answer:

Step-by-step explanation:
Given


Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints



Open bracket


Next, determine the slope of the given endpoints.




Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:

In this case:

So:


Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is:

Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
Answer:
144.5cm
Step-by-step explanation:
Since it's a square, all sides should be equal so you just need to divide 289 by 2(are of a square is side times side)
Answer:
x = 
y = 
Step-by-step explanation:
Hello!
This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)
Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.
In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by
.
So, let's use leg y, 
Solve for y:

y =
, which means that x is also 
Answer:
A. 40. B.12
Step-by-step explanation:
40/34=.85
80*.15=12