Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
Answer:
1240.4 mm²
Step-by-step explanation:
SA of Pentagonal pyramid:
(as)(5/2) + (sl)(5/2)
↑ ↑
base area lateral area
_____________________
a: apothem (in-radius) length, s: side length.
l: slant height.
______________________
Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.
Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.
A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).
With this information the surface area is:
(16)(20)(5/2)mm + (440.4 mm²) →
800 mm² + 440.4 mm² =
1240.4 mm²
Answer:
$ 1250
Step-by-step explanation:
output = 50 units per day
average total cost = $ 60
total cost = output × average total cost =50 × 60 = $ 3000
total variable cost = output × average variable cost = 35 × 50 = $ 1750
total cost = total fixed cost + total variable cost
total fixed cost = total cost - total variable cost = $ 3000 - $ 1750 = $ 1250
Answer:
6(4r+5)
Step-by-step explanation:
Hope this helped!
