Answer:



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Step-by-step explanation:
Given
--- perimeter


Required
Possible dimension of different parallelogram
The perimeter is calculated as:

So,we have:

Divide by 2

Since l and w must be positive integers, the possible dimensions are:



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Answer:
A. 17°
Step-by-step explanation:
We know that point r is 73° and point p is a right angle (90°) all triangles equal 180° on the inside. If you add 73 and 90, you get 163. Then subtract 163 from 180 to get 17.
The volume of a cone is V=(1/3)(area of the base)(height)= (1/3)(pi*r^2)(h)
r^2= (d/2)^2 = (d^2)/4. Given: V= 301.44cm^3 and h= 18cm.
r^2= V/[(1/3)(pi)(h)]
r^2= 3V/(pi)(h)
(d^2)/4= 3(301.44)/(3.14)(18)
d^2= 12(301.44)/(3.14)(18)
d^2= 63.967
d= 7.997
d~= 8cm.
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5a)
2x + 94 = 7x + 49 (vertical angles are equal)
2x - 7x = -94 + 49
-5x = -45
x = 9
Answer
9
5b)
4y + 7x + 49 = 180 (supplementary angles, sum = 180)
4y + 7(9) + 49 = 180
4y + 112 = 180
4y = 68
y = 17
Answer
17
6)
x = 6x - 290 (vertical angles are equal)
-5x = -290
x = 58
Answer
58