Answer:
E - 40°
Step-by-step explanation:
Angle O = 2 × y
{Angle at center is equal to twice the angle at circumference formed by the same arc}
O = 2 × 70°
O = 140°
x + 90° + 90° + O = 360°
{Sum of angles in a quadrilateral is equal to 360°}
x + 90° + 90° + 140° = 360°
x + 320° = 360°
x = 40°
Answer:
12 windows
Step-by-step explanation:
Number of windows broken = 40% of 30

Answer:
32.44 quilts will be sewn
Step-by-step explanation:
811/25 = 32.44
Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)