Add 6x and 4x to make 10x
then it's 10x + 2 < 14
then subtract the 2 from the 14
10x< 12
divide 10
x< 12/ 10
simplify
x< 6/5 or 1 1/5
Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)
5x+3y+6x+9y
All you'd need to do is combine like terms. So add 5x to 6x and add 3y to 9y.
(5x+6x)+(3y+9y)
Final Answer: 11x + 12y
Step-by-step explanation:
Since, Point E is the midpoint of DF
Therefore,
DE = EF
10x = 4x + 12
10x - 4x = 12
6x = 12
x = 12/6
x = 2
EF = 4x + 12 = 4*2+12 = 8 * 12 = 20
EF = 20
AB = BC
6x + 2 = 9x - 10
10 + 2 = 9x - 6x
12 = 3x
12/3 = x
x = 4
BC = 9x - 10 = 9*4 - 10 = 36 - 10 = 26
Answer:
The angle at which malcom Way intersects Park Road = 111 °
Step-by-step explanation:
Malcom Way intersects Sydney Street at 
= 162 °
Park Road intersects Sydney Street at 
= 87 °
The angle at which Malcom Way intersects Park Road 
= ?
We know that
°
Therefore the angle at which malcom Way intersects Park Road = 111 °
