Answer: Vertical Angles Theorem
Step-by-step explanation: the diagram is like an X which two opposite sides are congruent. if that makes sense hope i helped ❤️.
We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
Answer:
Step-by-step explanation:
Given
The translated triangles
Required
Find x and y
We have:
means:
Open bracket
Collect like terms
Divide by 6
means
Open bracket
Collect like terms
Divide by 2
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
Answer:
A cylinder with a volume of 27
cubic inches and a height of 3 inches
Step-by-step explanation:
- Volume of a cylinder = r²h
(where r is the radius and h is the height)
Volume = 27
Height = 3
⇒ 27 = 3r²
⇒ 9 = r²
⇒ r = √9 = 3
So height = radius
