Step-by-step explanation:
Consider LHS
Apply quotient identies
Multiply the fraction and sine.
Make cos x a fraction with cos x as it denominator.
so
Pythagorean Identity tells us sin squared and cos squared equals 1 so
Apply reciprocal identity.
Because it is given that <6 and <14 are congruent, and <10 and <15 are congruent. <14 is congruent to <15 , an
d <10 is congruent to <11 because of the
PART A:
vertical angles theorem?
alternate exterior angles theorem?
same side interior theorem?
PART B:
By the
Transitive Property
Reflective Property
Substitution Property
PART C:
Alternate Interior Angles
Corresponding Angles
Vertical Angles
PART A:
vertical angles theorem?
alternate exterior angles theorem?
same side interior theorem?
PART B:
By the
Transitive Property
Reflective Property
Substitution Property
PART C:
Alternate Interior Angles
Corresponding Angles
Vertical Angles
1 answer:
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Given:
The composite figure.
To find:
The volume of the given composite figure.
Solution:
Given composite figure contains a cuboid and a pyramid.
Length, breadth and height of the cuboid are 8, 6 and 4 respectively.
Volume of a cuboid is
Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.
Height of pyramid = 10 - 4 = 6
Volume of a pyramid is
The volume of composite figure is
It can be written as
Therefore, the correct option is A.