Heron's formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in 10 - 70 AD. You can use this formula to find the area of a triangle using the 3 side lengths.
Therefore, you do not have to rely on the formula for area that uses base and height. The picture below illustrates the general fro mu la where S represents the semi-perimeter of the triangle ,
<u>Given</u>:
The given geometric series is ![2 + 3 + 4.5+ 6.75 + ...](https://tex.z-dn.net/?f=2%20%2B%203%20%2B%204.5%2B%206.75%20%2B%20...)
We need to determine the value of r and a₁
<u>Value of a₁:</u>
The term a₁ denotes the first term of the geometric series.
Hence, from the given series, the first term of the series is 2.
Thus, a₁ = 2.
Therefore, the value of a₁ is 2.
<u>Value of r:</u>
The term r denotes the common ratio between the terms in the geometric series.
The value of r is given by
![r=\frac{3}{2}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3%7D%7B2%7D%3D1.5)
![r=\frac{4.5}{3}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4.5%7D%7B3%7D%3D1.5)
![r=\frac{6.75}{4.5}=1.5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B6.75%7D%7B4.5%7D%3D1.5)
Thus, the value of r is 1.5
(3x + 15) + (x + 7) = 94
4x + 22 = 94
4x = 94 - 22
4x = 72
x = 18
You place it inside x + 7
So, 18 + 7 = 25
Angle CBD = 25
Answer:
12 plus 8
Step-by-step explanation:
is 20 ..............
It can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D
<h3>What is SAS congruency?</h3>
SAS congruency states that two triangles are said to be congruent if any two sides or angle between the sides of one triangle are equal to the corresponding two sides and also the angle between the sides of the second triangle.
Thus, it can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D
Learn more about SAS theorem here:
brainly.com/question/18922904
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