Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
Answer:
C. 70°
Step-by-step explanation:
The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.
The external angle marked 20° is half the difference of the intercepted arcs, so is ...
20° = (1/2)(x - 30°)
40° = x - 30° . . . . . . multiply by 2
70° = x . . . . . . . . . . . add 30°
The value of x is 70°.
Refer to the attachment for step by step explaination.
To compare these numbers, you must first put them into one format. Since you have mixed numbers, you may have to find and use the LCD.
-2.5, 1/5, 10, -12/4, 18/5, 10 could be simplified somewhat immediately:
-2.5, 1/5, 10, -3, (3 3/5) This set of numbers is simple enough so that you could rearrange them in ascending order mentally:
-3, -2.5, 1/5, (3 3/5), 10
In this case the number of elements in this set is odd, so all you have to do is to select the MIDDLE element: 1/5.
The median is 1/5.
You MUST learn this procedure (arranging the set elements in ascending order and selecting the middle element) so that you can apply it yourself.
