Answer:
n = all real numbers
Step-by-step explanation:
7n+12=1/2(14n+24)
multiply each side by 2
2(7n+12)=2*1/2(14n+24)
distribute
14n+24 = 14n + 24
subtract 14n from each side
14n-14n+24 = 14n-14n + 24
24=24
this is always true
n = all real numbers
<z = 180 - 43
<z = 137
answer
<z = 137 degrees
Use the Sum of Angles In a Triangle therom.
Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
