12x + 12 + 15 + 3x + 18 = 180
15x + 45 = 180
15x = 180 - 45
15x = 135
x = 135/15
x = 9
m < A = 12x + 12 = 12(9) + 12 = 108 + 12 = 120....A is 120
m < C = 3x + 18 = 3(9) + 18 = 27 + 18 = 45....C is 45
Answer:
The second option
Step-by-step explanation:
c=![\sqrt{16^{2} +12^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B16%5E%7B2%7D%20%2B12%5E%7B2%7D%20%7D)
c=20 m
The points that are 4 units apart are B and D
<h3>Complete question</h3>
Which points are 4 units apart? On a coordinate plane, point A is at (-2, 4), point B is at (3, -6), point C is at (-1, 0), point D is at (3, -2).
B and C
C and D
A and C
B and D
<h3>How to determine the points?</h3>
To do this, we simply calculate the distance using the following equation
![d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2)
Using the given points, we have:
![BC = \sqrt{(3+ 1)^2 + (-6 -0)^2} = 7.2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%283%2B%201%29%5E2%20%2B%20%28-6%20-0%29%5E2%7D%20%3D%207.2)
![CD = \sqrt{(-1 - 3)^2 + (0 +2)^2} = 4.5](https://tex.z-dn.net/?f=CD%20%3D%20%5Csqrt%7B%28-1%20-%203%29%5E2%20%2B%20%280%20%2B2%29%5E2%7D%20%3D%204.5)
![AC = \sqrt{(-2 + 1)^2 + (4 -0)^2} = 4.1](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B%28-2%20%2B%201%29%5E2%20%2B%20%284%20-0%29%5E2%7D%20%3D%204.1)
![BD = \sqrt{(3 - 3)^2 + (-6 +2)^2} = 4](https://tex.z-dn.net/?f=BD%20%3D%20%5Csqrt%7B%283%20-%203%29%5E2%20%2B%20%28-6%20%2B2%29%5E2%7D%20%3D%204)
Hence, the points that are 4 units apart are B and D
Read more about distance at:brainly.com/question/15821277
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Answer:
H) -5x - 50
Step-by-step explanation:
(-5 · x) + (-5 · 10) = -5x - 50
Total Area = 2( 32 x 79) + (26 x 42) = 6148 m²
Number of 4 m² = 6148 ÷ 4 = 1537
Answer: The zoo can have 1537 plants.