Answer:
Step-by-step explanation:
The problem is:
8x (6x + 8x) = 16 (12+16)
I will simplify and combine like terms
6x + 8x = 14x. 14x + 8x = 22x.
12 + 16 = 28. 28 + 16 = 44
New problem
22x = 44
22x divided by 22 is x
44 divided by 22 is 2
x = 2
Answer:
umm...4 last time I checked!
From the given condition we can conclude that the radius of the cylinders are different.
Step-by-step explanation:
Given,
The height of a right cylinder and an oblique cylinder is same.
Volume of these two cylinder is different.
Let us take,
Radius of right cylinder = r
Radius of oblique cylinder = R
Height = h
Volume of right cylinder = πr²h
Volume of oblique cylinder=πR²h
Formula
If the height and the radius of a right cylinder and an oblique cylinder is same, their volume is also same
Thai is = πr²h
Here,
As the volume is different we can conclude that
The radius is not same.
The square pyramid that is similar to the pyramid with base side length of 20.4 cm and a height of 18.2 cm has base side length = 30.6 cm and height = 27.3 cm.
<h3>How to know similar shape?</h3>
All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.
Therefore, the corresponding length shuld have the same ratio for it to be similar.
Hence,
The ratio of the square pyramid is as follows;
base length / height = 20.4 / 18.2 = 10.2 / 9.1
Therefore, the square pyramid that is similar has base side length = 30.6 cm and height = 27.3 cm.
30.6 / 27.3 = 10.2 / 9.1
The ratio are the same
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Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.