Answer: 37
Explanation: Triangles's angles add up to 180. 180-45-98 is 37
Answer:
Those areas are: A 1 = 12, A 2 = 19
Step-by-step explanation:
The area of shape 1 : it consists of 1 square + 4 right triangles
Area of the square: A = a², area of the triangle: A = 1/2 · a · h
A 1 = 2² + 4 · 1/2 · 2 · 2 = 4 + 8 = 12
The area of shape 2 : it consists of 2 isosceles triangles
A 2 = 1/2 · 2 · 4 + 1/2 · 6 · 5 = 4 + 15 = 19
(5/8) × 48 = (8/15) × n
Multiply by the inverse of the coefficient of n. That inverse is 15/8.
n = (15/8)×(5/8)×48 = (75/64)×48 = 225/4 = 56 1/4
5/8 of 48 is equal to 8/15 of 56 1/4
Answer:
Step-by-step explanation:
Given
Required
The vertex
We have:
First, we express the equation as:
Where
So, we have:
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Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
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Expand
Factorize
Factor out x - 1/2
Compare to:
Hence:
Point, line and plane are undefined termseverything else is defined based on them - there are no other undefined terms in euclid's geometry - only those 3 listed above are undefined terms
