Angle-A and angle-B are alternate interior angles with parallel lines cut by a transversal. That tells you that the two angles are EQUAL. So you can write
8x + 78 = 2x + 114 ,
and it should all be smooth sailing for you from that point.
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
No, you would graph the y-intercept, you do not graph the m-value (slope). The slope value is the rate that the y-value increases per unit of x. This is how you graph your line from the y-intercept
Answer:
50 cm squared.
Step-by-step explanation:
All you need to do is multiply the 5 (which is the height) times 10 (which is the base).
The volume of a parallelogram is base times height.
so, 5 times 10 = 50
For this , you use the distance formula
. based on the graph, use points (0,6) and (7,-2), plug them into the formula to get

and you get B, 10.63