Answer:x=4
Step-by-step explanation:
To solve
10(x+1)=56-2(x-1)
Open the brackets
10x+10=56-2x+2
Collect like terms
10x+2x=56-10+2
12x=48
Divide through by 12
x=4
Answer:

Step-by-step explanation:
Since we are not given a midpoint, we use the Angle Addition Postulate:
156 = [x + 109] + [x + 53]
156 = 162 + 2x
-162 - 162
_______________
−6 = 2x
___ ___
2 2
−3 = x
[−3 + 53] + [−3 + 109] = 156
50 106
156 = 156 ☑
Therefore,
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Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:

Replacing in the first equation:





So Sasha exercises 7 hours per week.
Max:



Max exercises 13 hours a week.
Answer:
41
Step-by-step explanation:
BIDMAS
[5 x (4 + 6) - 9]
Brackets first
4 + 6 = 10
[5 x (10) - 9]
Multiply next
5 x 10 = 50
Subtract last
50 - 9 = 41