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
The measure of angle b is 25°.
Solution:
Given data:
The "L" shape angle is a right angle.
Right angle is splitted by another line and two angles are formed.
One angle is 65° and the other angle is b.
Let us find the other angle b.
65° + m∠b = 90°
Subtract 65° from both sides of the equation.
m∠b = 90° – 65°
m∠b = 25°
Hence the measure of angle b is 25°.
-12y + 27
So what you do is take the numbers outside the (parentheses) which in this case is -3 and then multiply it to positive 4y and -9 to get your answer!
Answer:
174000
Step-by-step explanation:
