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fgiga [73]
2 years ago
8

Please help with angle addition

Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0

Answer:

m∠1 = 89°

Step-by-step explanation:

     Since m∠2 is a part of ∠GFH, he can do the following.

∠GFH - m∠2 = m∠1

133° - 44° = 89°

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Graph the line given by x+y=-2 and the quadratic curve given by y=x²-4. Find all solutions to the system of equations. Verify yo
ycow [4]

Answer:

(1,-3) and (-2,0)

Step-by-step explanation:

x+y=-2

y=x^2-4

Applying the second equation to the first

x+x^2-4=-2\\\Rightarrow x+x^2-4+2=0\\\Rightarrow x^2+x-2=0

Solving the equation we get

x=\frac{-1+\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}, \frac{-1-\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}\\\Rightarrow x=1, -2

When x = 1

y=-2-1\\\Rightarrow y=-3

When x = -2

y=-2-(-2)\\\Rightarrow y=0

So, the line and curve will intersect at points (1,-3) and (-2,0)

5 0
3 years ago
Carter's account has gone into overdraft. His balance is $-43.3. To get back to a positive balance, he plans to deposit money at
Dvinal [7]

Answer:

125.05

Step-by-step explanation:

Used a calculator lol

3 0
2 years ago
Solve the following linear system by graphing <br> 4x+5y=10<br> 3x-3y=21
Inga [223]

Answer:

y = 2

x = 5

Step-by-step explanation:

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×4 |

12x + 15y = 30

12x - 12y = 84

____________--

27y = -54

y = -54/27

y = 2

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×5 |

12x + 15y = 30

15x - 15y = 105

____________+

27x = 135

x = 135/27

x = 5

6 0
3 years ago
Solve 4(3x+3)=15x+7-3x+5
Flura [38]

Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

Step 2: Solve for <em>x</em>

  1. Distribute 4: 12x + 12 = 15x + 7 - 3x + 5
  2. Combine like terms: 12x + 12 = 12x + 12
  3. Subtract 12 on both sides: 12x = 12x
  4. Divide both sides by 12: x = x

Here, we can see that <em>x</em> would be infinite amount of solutions. We can plug in any number <em>x</em> and it would render the equation true.

4 0
3 years ago
Compare using &gt;,=, or &gt;.
il63 [147K]

Answer:

5 = 5

5 < 6

7 > 6

Step-by-step explanation:

The two slashes is the equal sign, comparing two numbers that are of the same value. The sign below that means "less than," and 5 is less than 6. The sign below the "less than" sign is the "greater than" sign, and in the given example, 7 is GREATER THAN 6.

4 0
3 years ago
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