Answer: The answer is 4 and 32.
Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.
The, according to the given information, we have

Let 'p' represents the number of students who take all the three languages, then

Also,

From here, we get after subtracting equation(c) from (b) that
Therefore,
and from equation (a), we find

Thus,
and

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.
Answer:
144,148,152
Step-by-step explanation:
Here we will have, 4x + 4(x+1) + 4(x+2) = 444
=> x + (x+1) + (x+2) = 111 (dividing both sides by 4)
=>x + x+1 + x+2 =111
=> 3x + 3 = 111
=> 3x = 108
=> x = 36.
So, the three desired numbers 4x, 4(x+1) and 4(x+2) are,
4*36, 4*(36+1) and 4*(36+2)
That means the numbers are, 144, 148 and 152.
Answer:
x = 31
Step-by-step explanation:
The sides of an isosceles trapezoid are the same length, so ...
5x -32 = 2x +61
3x = 93 . . . . . . . . add 32-2x
x = 31 . . . . . . . . . . divide by 3
Answer:
There are 70 one degree angles in a 70 degree angle
Step-by-step explanation: