Answer:
m<c = 104°
m<d = 80°
Step-by-step explanation:
Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:
m<c + 76° = 180°
m<c + 76° - 76° = 180° - 76° (subtraction property of equality)
m<c = 104°
m<d + 100° = 180°
m<d +100° - 100° = 180° - 100° (subtraction property of equality)
m<d = 80°
7x. Try to ignore the X's for a second and think of the problem as -12+5 (aka 5-12). The answer to that is 7. now add the x back again to get: 7x
The vertex form of the equation of a parabola is given by

where (h, k) is the vertex of the parabola.
Given that the vertex of the parabola is (-12, -2), the equation of the parabola is given by

For a = 1,

<span>The
parabola whose minimum is at (−12,−2) is given by the equation

, where a = 24 and b = 112.</span>
So the original lawn has an area
24 × 32 = 768 the new lawn will have area 425
this means the area of the sidewalk will be 768-425=343
now the sidewalk is a certain width of we draw it out and label it x we see the lawn has an area of

use the quadratic formula to solve. then you will know how wide the sidewalk is. I will attach picture