ANSWER

EXPLANATION
Method 1
Vertically opposite angles are equal, therefore

This implies that,

We simplify to get,

Dividing through by 3 gives,

Also,

This implies that,

We simplify the right hand side to get,

We divide both sides both sides by 2 to get,



Method 2
Angles on straight line sums to 180°.

This implies that,




Also,






Answer:120 cubic inches
Step-by-step explanation:
(4*10)*6 (40*6)/2 240/2=120 cubic inches
Answer:


Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:

And that:

1a) coefficient 1b)variable
2a) coefficient 2b)coefficient
3a)coefficient 3b)coefficient
4a)coefficient 4b)coefficient
5a)coefficient 5b)variable