Answer:
Height = 19mm.
Step-by-step explanation:
Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.
Here A = 5, P = 5*12 = 60 so
Area of the base = (5 * 60) / 2 = 150 mm^2.
Volume = area base * height so
Height = volume / area of base
= 2850 / 150
= 19 mm.
the equation of the line is y = 3x - 5
Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
brainly.com/question/1675117
Answer:
3rd
Step-by-step explanation:
Answer:
A;C;E
Step-by-step explanation:
Let cost of almond per pound be X
Cost of 3 pounds of almonds=3X
cost of pistachios per pound = X+4
Cost of 2 pounds of pistachios=2X+8
Total cost=5X+8=48
5X+8=48
5X=40
X=8
cost of one pound almond is $8
cost of one pound pistachios is $12
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