(2/3a • 9a) + (2/3 • 6) = 23.8
a = 2.1259 or 287/135
Answer:
d. C. 4; enlargement
Step-by-step explanation:
Scale factor = Ratio of one of the side length of the scale diagram to the corresponding side length of the original diagram
Side length of scale diagram = 8 units
Corresponding side length of original diagram = 2 units
Thus:
Scale factor = 8/2 = 4
Scale factor = 4
Since it's an while number, it implies that it is an enlargement.
Answer:
![x=37](https://tex.z-dn.net/?f=x%3D37)
Step-by-step explanation:
Use the alternating interior angles theorem.
It states that alternating interior angles are congruent.
Therefore,
![3x+4=115 \\ \\ 3x=111 \\ \\ x=37](https://tex.z-dn.net/?f=3x%2B4%3D115%20%5C%5C%20%5C%5C%203x%3D111%20%5C%5C%20%5C%5C%20x%3D37)
304 pounds because 24% of 400 is 96 so you have to subtract 96 from 400
Check the picture below.
since the pyramid has 4 triangular faces and a square base, let's add their areas together and that'd be the area of the pyramid.
![\stackrel{\textit{\Large total area}}{\stackrel{base}{(12\cdot 12)}+\stackrel{4~triangles}{4\left[\cfrac{1}{2}(12)(6\sqrt{3}) \right]}}\implies 144 + 144\sqrt{3}~~\approx ~~393.42](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5CLarge%20total%20area%7D%7D%7B%5Cstackrel%7Bbase%7D%7B%2812%5Ccdot%2012%29%7D%2B%5Cstackrel%7B4~triangles%7D%7B4%5Cleft%5B%5Ccfrac%7B1%7D%7B2%7D%2812%29%286%5Csqrt%7B3%7D%29%20%5Cright%5D%7D%7D%5Cimplies%20144%20%2B%20144%5Csqrt%7B3%7D~~%5Capprox%20~~393.42)