Answer: x=11/22
Step-by-step explanation: 2x+6=3x−12x+6=3x-1 2x+6=3x+−12x+6=3x+-1 2x+6=(3x+−12x)+(6+-1)=3x 2x+6+9x=−9x+5+9x=3x+9x 11x+6=5=12x 11x+12x=6+5 22x/22=11/22 x=11/22
Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square
The values of the Maze are as follows;
- x = 10
- x = 8
- x = -9
- x = 5
- x = 11
- x = 3
- x = -5
- x = 9
- x = 7
- x = -7
Reason:
The solutions are;
10·x + 15 = 12·x - 5 by alternate interior angles theorem
6·x + 6 = 5·x + 14 by alternate exterior angles theorem
x + 109 = 100 by corresponding angles theorem
11·x + 5 + 120° = 180° by same side interior angles theorem
11·x - 1 = 10·x + 10 by corresponding angles theorem
35·x + 5 = 110 by corresponding angles theorem
x + 85 + x + 105 = 180 by same side interior angles theorem
7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem
19·x - 3 = 130 by alternate interior angles theorem
x + 67 = 60 by alternate interior angles theorem
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We have 60 gallons of 20% antifreeze.
How much 70% antifreeze do we add to get 60% antifreeze?
We'll make "x" the gallons of 70% we must add.
.20 * 60 + .70 x = .60 * (60 + x)
12 + .70x = 36 + .60x
.10x = 24
x = 240 gallons of 70% antifreeze.
Source
1728.com/mixture.htm (see example B)
The Pythagorean Theorum formula is a(squared) + b(squared)= c(squared). If you plug in the numbers, the equation is 39(squared) + 80(squared)= c(squared). That simplifies to 1521+6400=c(squared). Adding results in 7921=c(squared). Finally, when you take the square root of both sides, you are left with 89=c (aka the hypotenuse)
Answer:
x= 14 hope that helps you out good luck