Answer:
10x<9x>=-3
Step-by-step explanation:
6x +4x <-3 (5x-8>=-3
10x<-3(-3x>=-3
multiple the bracket by -3
10x<9x>-3
The answer is c)4 the four step of the problem solving process
So he is over budget by $90 and he needs to allocate his bills to allow for it
Total distance: d = 3 km
Minutes run: x
Distance run = (1 km / 2 minutes) * x = (1/2)x
Distance from the finish line = total distance - ditance run = 3 - (1/2)x =
= - (1/2)x + 3
Answer - (1/2)x + 3
<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
