Answer:
The answer is 81°
Step-by-step explaination:
To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.
17)
x² + 8 = -8
x² = -8 - 8
x² = 16
x = ±√-16
x = ±√16i
x = <span>±4i
</span>
18)
x² + 5 = -3
x² = -3 - 5
x² = -8
x = ±√-8
x = ±√8i
x = ±2√2i
19)
x² + 3 = 0
x² = -3
x = ±√-3
x = <span>±</span>√3i
hope this helps, God bless!
Answer:
2/3 is the fraction of students who are boys.
Step-by-step explanation:
First of all, a fraction consists of two parts: The denominator and the numerator. The denominator is the whole, while the number is a part of the whole (and sometimes above).
1. Since in your question, there are 24 students in total in the class, the denominator will be 24.
2. You said that 16 of them are boys, so 16 is the numerator.
3. In a fraction, it will be 16/24.
4. 16/24 can be simplified into 2/3 since both 16 and 24 can be divided by 8.
So our final answer is 2/3.
Answer:
280
Step-by-step explanation:
Set up a ratio to solve.
Mr. Fraser's class has 20 soccer playing students, and 14 are boys.
14/20 = x/400
Cross multiply. 20x= 5600
Divide by 20 to solve
x= 280
I believe the answer is 2. i hope this helps