8x + 114x + 3
8x + 114x = 122x
112x + 3
Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
Answer:yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
When Riko left his house, Yuto was 5.25 miles along the path.
Average speed of Riko = 0.35 miles per minute
Average speed of Yuto = 0.25 miles per minute
First we will calculate the time in which Riko will catch Yuto on the track.
Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto
= 0.35 - 0.25
= 0.10 miles per minute
Now we this relative velocity tells that Riko is moving and Yuto is in static position.
By the formula,
Average speed = 
0.10 = 
t = 
t = 52.5 minutes
Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.
So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5
Here time can not be less than zero because time can not be with negative notation. It will always start from 0.
Answer:
2x -8
Step-by-step explanation:
f (x) = 3x - 5
g(x) = x + 3,
(f - g)(x) = 3x - 5 - ( x+3)
Distribute the minus sign
= 3x-5 -x-3
Combine like terms
= 2x -8