Answer: Rectangular Prism
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Explanation:
A rectangle is a four sided object that has all four angles at 90 degrees (aka right angles). Imagine that the cards are designed as such they do not have their corners rounded off, but each corner is a 90 degree angle. Stacking 52 congruent rectangles leads to a 3D solid known as a rectangular prism. The base is a rectangle that is congruent to any of the 52 cards. This stack must be aligned and not allowed to have any of the cards offset (ie forming a sort of "leaning tower"). You can think of a "rectangular prism" as a "box" which is probably a more common term for it; however, "rectangular prism" is probably what your teacher will want since it likely involves geometric terms you've learned in your lessons.
Remember angle sum of a triangle?
(7)
if r perpendicular to s then angles 1,2,3,4=90 deg.
if t perpendicular to s then angles 5,6,7,8=90 deg.
If two different lines intersect a third line at the same angle then they must be parallel.
r and t intersect s at the angle 2=90 deg and 6 = 90 deg, therefore r and t are parallel.
(6) use sum of angles in a triange =180 deg property.
first, the complement to 105 is an angle of 75 deg. then x=180-(24+75)=81 deg
x=81 deg
(5)
(4) sum of angles = 180 deg
62 +45 + k = 180
k = 180 -107 = 73
k = 73
Answer:
CAB = 54
ABC = 21
ACB = 105
DCB = 75
Step-by-step explanation:
18x - 15 = (13x - 11) + (4x + 1)
18x - 15 = 17x - 10
x = 5
CAB = 13x - 11 = 13(5) - 11 = 65 - 11 = 54
ABC = 4x + 1 = 4(5) + 1 = 20 + 1 = 21
ACB = 180 - (CAB + ABC) = 180 - (54 + 21) = 180 - 75 = 105
DCB = 180 - ACB = 180 - 105 = 75
