The correct anwer is -21 and how i got that is by taking -7*300 to get -21 as my answer let me know if it helped any...
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
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You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
