Answer: A and E
Step-by-step explanation: since the question says boys to girls and not girls to boys we assume the first number in the ratio is boys. This makes A correct 3 boys for every 2 girls. And 3+2 is 5 so for every 5 students there are 2 girls because you add the 3 boys
True
<span>Vertical angles are opposite angles with the same vertex </span>
Answer:
x(3 + 9) = 3x + 9x = 12x
Step-by-step explanation:
...........
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
