Answer:(–4.5, –2.5)
(4.5, 6)
(1.3, 3.5)
Step-by-step explanation:
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
The volume of the cone is: A. 213 ft³.
<h3>Volume of a Cylinder and a Cone</h3>
- Volume of cylinder = πr²h.
- Volume of cone = ⅓πr²h.
Given:
radius and height of both the cylinder and the cone are equal.
Volume of Cylinder = 639 ft³
Therefore:
πr²h = ⅓πr²h
This means that volume of cone would be ⅓ of the volume of the cylinder.
Volume of cone = ⅓(639) = 213 ft³
Therefore, the volume of the cone is: A. 213 ft³.
Learn more about volume of cone on:
brainly.com/question/13677400
15 liters of Yoda Soda for the 36 guests.
Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy
<h3>What is a
quadrilateral?</h3>
A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are<em> square, kite, trapezoid, rectangle, rhombus </em>and so on.
A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.
Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy
Find out more on quadrilateral at: brainly.com/question/23935806
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