Answer:
67. A
68. D
Step-by-step explanation:
I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!
Answer:
x = 4
Given:
f(x) = -12x + 72
f(x) = 24
Step-by-step explanation:
![= > - 12x + 72 = 24 \\ \\ = > - 12x = 24 - 72 \\ \\ = > \cancel{- }12x = \cancel{-} 48 \\ \\ = > 12x = 48 \\ \\ = > x = \frac{48}{12} \\ \\ = > x = 4](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20-%2012x%20%2B%2072%20%3D%2024%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20%20-%2012x%20%3D%2024%20-%2072%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20%20%20%5Ccancel%7B-%20%7D12x%20%3D%20%20%20%5Ccancel%7B-%7D%2048%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%2012x%20%3D%2048%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B48%7D%7B12%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%204)
Based on the data given, the length of line segment AC is 2.29
<h3>What is the length of side AC?</h3>
Based on the given data:
- AC=BC
- AB=3
- line segment CD is perpendicular to line segment AB
- CD= sqrt 3
The triangle ABC is an isosceles triangle.
The line segment AC is the hypotenuse of the the triangle ACD.
The length of AD = 3/2
![AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B%28%5Csqrt%7B3%29%5E%7B2%7D%7D%20%2B%20%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7B2%7D%7D%3D%202.29)
In conclusion, the length of AC is 2.29
Learn more about line segment at: brainly.com/question/2437195
#SPJ1