Since there are 22 participants all in all. The possible combinations of the two picked for practice first is,
22C2 = 231
The probability of picking one from each gender will be solved through the calculation below.
(10C1)x(12C1) / 231 = 40/77
In percentage, the answer would be approximately 52%. Thus, the answer is the first choice.
A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).
Answer:
Option 3
Step-by-step explanation:
Pythagorean Theorem:

Answer:
option a 75°
Step-by-step explanation:
45°+60°+third angle=180°[by angle sum property]
105°+third angle=180°
third angle =180°-105°
third angle=75°
Answer:
Q = 69.5 degrees
Step-by-step explanation:
3x + 14 + 3x - 27 = 180
6x - 13 = 180
6x = 193
x = 32.1667
Q = 3(32.1667) - 27
Q = 69.5