The graph will be a shaded region to the right of the solid vertical line x =8
Point A is inside triangle E D F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to th
e sides of the triangle to form right angles and line segments A L, A M, and A N. The length of A E is 10 and the length of A D is 2 n + 4. What value of n would make point A the circumcenter? 2 3 4 5
1 answer:
Answer:
Option B. 3 is the answer.
Step-by-step explanation:
To draw a circumcenter of a triangle we draw the perpendicular bisectors of the the sides of the triangle first.
Intersection point of these perpendiculars drawn is the circumcenter of the circle.
Distances of the circumcenter to the vertices are same, that means distance of circumcenter from the vertex is the radius of the circle.
Therefore, length of AE and AD will be same in measure.
AE = AD
2n + 4 = 10
2n = 10 - 4
2n = 6
n = 3
Therefore, Option B. 3 is the answer.
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To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.
Area of a rectangle:
A = l × w [ l = 11 in ; w = 6in ] Plug these numbers into the equation
A = 11 · 6
A = 66 in²
Area of a triangle:
[ b = 4 in ; h = 6 in ] Plug these #s into the equation
A = 12 in²
Area of rectangle - Area of triangle = Area of the shaded region
66 in² - 12 in ² = 54 in²
Your answer is B