Answer:
<u>y = w and ΔABC ~ ΔCDE</u>
Step-by-step explanation:
Given sin(y°) = cos(x°)
So, ∠y + ∠x = 90° ⇒(1)
And as shown at the graph:
ΔABC is aright triangle at B
So, ∠y + ∠z = 90° ⇒(2)
From (1) and (2)
<u>∴ ∠x = ∠z </u>
ΔCDE is aright triangle at D
So, ∠x + ∠w = 90° ⇒(3)
From (1) and (3)
<u>∴ ∠y = ∠w</u>
So, for the triangles ΔABC and ΔCDE
- ∠A = ∠C ⇒ proved by ∠y = ∠w
- ∠B = ∠D ⇒ Given ∠B and ∠D are right angles.
- ∠C = ∠E ⇒ proved by ∠x = ∠z
So, from the previous ΔABC ~ ΔCDE by AAA postulate.
So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>
We are going to need to know the formula for the lateral surface area and volume of a cylinder in order to find our answers. Below are the equations:


is the height
is the radius
Using these formulas, we can solve these problems.


<h3>
Answer: 2/5</h3>
This is because there are 20 women out of 50 people total (30+20 = 50).
So 20/50 = 2/5
This converts to the decimal form 0.4 and the percentage form 40%
Answer:
Edge = 12
Total Surface Area = 72
Step-by-step explanation:
Volume of the cube = 1728
Length of the edge = ![\sqrt[3]{1728} = 12](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1728%7D%20%20%3D%2012)
We know that
TSA (Total Surface Area) = 
where a = length of edge of cube
So,
TSA of cube = 