Answer:
b = (- 7, 10 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 
(x₁ + x₂ ), (y₁ + y₂ ) ]
let the coordinates of b = (x, y ) then use the formula and equate to the coordinates of the midpoint, that is
(x + 3) = - 2 ( multiply both sides by 2 )
x + 3 = - 4 ( subtract 3 from both sides )
x = - 7
(y - 2) = 4 ( multiply both sides by 2 )
y - 2 = 8 ( add 2 to both sides )
y = 10
Thus the coordinates of b are (- 7, 10 )
Let AB extended intersect DC extended at point E
<span>We now have right triangle BEC with E = 90 degrees </span>
<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>
<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
To find missing lengths of sides
hope this helped have a nice day
Answer:
None
Step-by-step explanation:
There are actually 2 answers, 3 and -3. Although if you put it in a calculator, it would show "math error" or undefined. That's because the index is even (4) and the radicand is negative (-81)
