Answer:
Angle A = 18°
Step-by-step explanation:
since the angles are complementary, they add up to 90°
(2x-4) + (5x+17) = 90
add like terms
7x-4+17=90
simplify left side
7x+13=90
subtract 13 from both sides
7x=77
divide both sides by 7
x=11
plug in x to find the measure of angle A
2(11) - 4
multiply 2*11 first
22-4
simplify
18
Answer:
YES
Step-by-step explanation:
Find each length using the distance formula, ![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
✔️Distance between A(-4, 2) and B(1, 4):
![AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Let,
![A(-4, 2) = (x_1, y_1)](https://tex.z-dn.net/?f=%20A%28-4%2C%202%29%20%3D%20%28x_1%2C%20y_1%29%20)
![B(1, 4) = (x_2, y_2)](https://tex.z-dn.net/?f=%20B%281%2C%204%29%20%3D%20%28x_2%2C%20y_2%29%20)
![AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Csqrt%7B%281%20-%20%28-4%29%29%5E2%20%2B%20%284%20-%202%29%5E2%7D%20)
![AB = \sqrt{(5)^2 + (2)^2}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Csqrt%7B%285%29%5E2%20%2B%20%282%29%5E2%7D%20)
![AB = \sqrt{25 + 4}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Csqrt%7B25%20%2B%204%7D%20)
![AB = \sqrt{29}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Csqrt%7B29%7D%20)
✔️Distance between C(2, -1) and D(4, 4):
![CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20CD%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Let,
![C(2, -1) = (x_1, y_1)](https://tex.z-dn.net/?f=%20C%282%2C%20-1%29%20%3D%20%28x_1%2C%20y_1%29%20)
![D(4, 4) = (x_2, y_2)](https://tex.z-dn.net/?f=%20D%284%2C%204%29%20%3D%20%28x_2%2C%20y_2%29%20)
![CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2}](https://tex.z-dn.net/?f=%20CD%20%3D%20%5Csqrt%7B%284%20-%202%29%5E2%20%2B%20%284%20-%20%28-1%29%29%5E2%7D%20)
![CD = \sqrt{(2)^2 + (5)^2}](https://tex.z-dn.net/?f=%20CD%20%3D%20%5Csqrt%7B%282%29%5E2%20%2B%20%285%29%5E2%7D%20)
![CD = \sqrt{4 + 25}](https://tex.z-dn.net/?f=%20CD%20%3D%20%5Csqrt%7B4%20%2B%2025%7D%20)
![CD = \sqrt{29}](https://tex.z-dn.net/?f=%20CD%20%3D%20%5Csqrt%7B29%7D%20)
AB = CD = √29
Therefore, they both have the same length.
You’re solving for x, and you need to isolate x so it equals one number on the other side. Multiply by both sides by 14. 4x - 1x = -3, which reduces to 3x = -3, so x = -1. For 5, multiply both sides by 4. -3x + 1 = 2 which reduces to -3x = 1, so x = -1/3. For 6, multiply both sides by 4. x + 8 = 3. So x = -5. Make sure to check by plugging in x for each problem.
Answer:
Sorry I don't know the answer