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stepan [7]
3 years ago
9

Two angels are complementary. One angle is 18 degrees more than 2 times the other. Find the angles.

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0
Two complementary angles = 90°
X = 18+ 2y
X + y = 90
Plug first equation into second
18 + 2y +y = 90
18 + 3y = 90
18 – 18 +3y = 90 – 18
3 y = 72
3y/3 = 72/3
Y = 24
Plug y into 2nd formula
X + 24 = 90
X + 24 -24 = 90 – 24
X = 66
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Combining like terms with negative coefficients<br><br> −n+(−4)−(−4n)+6
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Question 8 (2 points)
SashulF [63]

Answer:

\mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if x=\frac{1}{2} is the solution to the equation: 4x+12-8x=-1+2x+10

Solving the equation first to find value of x

4x+12-8x=-1+2x+10

Combining like terms:

4x-8x+12=2x+10-1\\-4x+12=2x+9

Subtracting 2x on both sides

-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9

Now, subtracting 12 on both sides

-6x+12-12=9-12\\-6x=-3\\

Divide both sides by -6

\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}

So, we get  \mathbf{x=\frac{1}{2}}

Therefore we can say that \mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

6 0
3 years ago
Read 2 more answers
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