I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total
Answer:
The radius is 12.
Step-by-step explanation:
You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.
Answer:
d
Step-by-step explanation:
x<9+7, and x+7>9
solve
x<16
x>2
2<x<16
Just a guess, but the angle inside the triangle that's not x or y is the remaining angle after subtracting the 30 degrees shown. That makes the non labeled angle inside the triangle 150 degrees. since all triangles are 180 degrees, this means x and y add up to 30. They look roughly the same, so i'd guess they're both 15 degrees.