Hi there!
A remote interior angle is an angle that is located inside a triangle and at the opposite side of another angle. Therefore, every exterior angle has two remote interior angles.
The question asks for the remote interior angles of <1. First we must realise that the angle we're looking for is located inside the triangle. Our possibilities are <3, <4 and <5. Moreover, the angle must be at the opposite side of the exterior angle, and thus <5 isn't a remote interior angle.
The two remote interior angles of <1 are <3 and <4.
Answer:
x = -4
Step-by-step explanation:
(x - 4) = 2x
We need an x that when is subtracted by 4 is equal to multiplying it by 2
((-4) - 4) = 2(-4)
(-8) = (-8)
Therefore x = -4
Answer:
(B)
Step-by-step explanation:
(A) The given expression is:
=
The value of this expression is 8 which is greater than the base of the expression that is 2.
(B) The given expression is:
=
=
The value of this expression is 0.09 which is smaller than the base of the given expression that is 0.83.
(C) The given expression is:
=
The value of this expression is 9 which is greater than the base of the given expression that is 3.
(D) The given expression is:
=
The value of this expression is 256 which is greater than the base of the given expression that is 4.
Hence, Option B is correct.
Step-by-step explanation:
sin ∅ + 1 = cos2∅
From multiple angles in trigonometry
cos2∅ = 1 - 2sin²∅
So we have
sin∅ + 1 = 1 - 2sin²∅
sin∅ +1 - 1 + 2sin²∅= 0
sin∅ + 2sin²∅ = 0
Factor out sin∅
sin∅ ( 1 + 2sin∅) = 0
sin ∅ = 0
∅ = 0° , 180°
1 + 2sin∅ = 0
2sin∅ = - 1
sin ∅ = -1/2
∅ = 210° , 330°
The solutions are
<h3>0° , 180° , 210° , 330°</h3>
Hope this helps you