Answer:
B
Step-by-step explanation:
Answer:
8: 90 degrees, 9: 165 degrees, 6: 81 degrees, 7: angles in the same segment are equal
Step-by-step explanation:
For question 8:
Notice how the line AB just barely touches the edge of the circle. We call this kind of line a tangent. The point O is at the center of the circle so the line OB is a radius. The angle between a tangent and a radius is always 90 degrees, so ABO is 90 degrees.
For question 9:
By the exact same logic as 8, ACO is also 90 degrees. The sum of interior angles in a 4 sided shape (a quadrilateral) is always 360 degrees. This means that 15 + 90 + 90 + x = 360 = 195 + x so x = 360 - 195 = 165
For question 6/7:
We use the theorem that the angles in the same segment are equal. This means that a is 81 degrees.
Answer:
w = 33.94 ft
Step-by-step explanation:the roof takes the shape of a right angle. The top of the roof is a right angle. To find the width of the house, which is the hypotenuse of the triangular roof, we would apply pythagorean theorem.
Thus:


Square both sides

(to 2 decimal places)
The width of the house = 33.94 ft
Answer:
156
Step-by-step explanation:
While solving we will have to use the area formula of the rectangle, which is :A=w*l ; length*width=A.
Steps:
1)let’s consider that the shape is a full rectangle. => 16*12=192.
2)9*2=18 -> 18*2=36
3)192-36=156.