Answer:
x = 20
Step-by-step explanation:
The marked angles are vertical angles and congruent, thus
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
The answer is B., based on the distributive property (multiply coeffictients, add exponents, change signs because of the negative number being multiplied)
Answer:
Step-by-step explanation:
3/5, 12/20
Answer:
The correct answer is: 360.
Explanation:
First we can express 120 as follows:
2 * 2 * 2 * 3 * 5 = 120
You can get the above multiples as follows:
120/2 = 60
60/2 =30
30/2 = 15
15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)
5/5 = 1
Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)
Second we can express 360 as follows:
360/2 = 180
180/2 = 90
90/2 =45
45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)
15/3 = 5
5/5 = 1
Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)
Now in (1) and (2) consider the common terms once and multiple that with the remaining:
2*2*2*3*5 = Common between the two
3 = Remaining
Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)
Let, snake catches the mouse in t hours. Till then mouse is travelling from
( t + 1.5 ) hours.
Distance, travelled by mouse in t hours is, 
.
To catch the mouse snake had to travel the same distance d in t hours.
So,
Therefore, snake will catch mouse in 1.5 hours.
