Answer:
The answer is D, not here
Step-by-step explanation:
Members in dance club = 8
Members in soccer club = 12
Members in art club = 8
art: soccer + dance = 8 : 20
= 2:5
The answer is D, not here
Continent X would be 6120000
Continent Y would be 5480000
Continent X is larger
It is 640000 or 6.4x20^5 is greater
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
<h3>How to determine
Allie's error </h3>
The statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
- Angles J and X have equal measures of 55 degrees
- The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL
The above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
brainly.com/question/14285697
X^3+2x^2-2x-4 remainder -32/X-2
Answer:
The sides of the equilateral triangle are 11.7 m.
Step-by-step explanation:
Let's find the area of the isosceles triangle:
![A_{i} = \frac{bh}{2}](https://tex.z-dn.net/?f=%20A_%7Bi%7D%20%3D%20%5Cfrac%7Bbh%7D%7B2%7D%20)
Where:
b: is the base = 12 m
h: is the height
We can find the height by using Pitagoras:
Where:
x is the hypotenuse = side of the triangle = 10 m
![h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m](https://tex.z-dn.net/?f=%20h%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%20-%20%5Cfrac%7Bb%5E%7B2%7D%7D%7B2%7D%7D%20%3D%20%5Csqrt%7B%2810%29%5E%7B2%7D%20-%206%5E%7B2%7D%7D%20%3D%208%20m%20)
Then, the area is:
![A_{i} = \frac{12*8}{2} = 48 m^{2}](https://tex.z-dn.net/?f=%20A_%7Bi%7D%20%3D%20%5Cfrac%7B12%2A8%7D%7B2%7D%20%3D%2048%20m%5E%7B2%7D%20)
Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:
![A_{e} = A_{i} = 48 m^{2}](https://tex.z-dn.net/?f=%20A_%7Be%7D%20%3D%20A_%7Bi%7D%20%3D%2048%20m%5E%7B2%7D%20)
![A_{e} = \frac{bh}{2}](https://tex.z-dn.net/?f=%20A_%7Be%7D%20%3D%20%5Cfrac%7Bbh%7D%7B2%7D%20)
The height of the equilateral triangle is given by:
![h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}}](https://tex.z-dn.net/?f=%20h%20%3D%20%5Csqrt%7Bb%5E%7B2%7D%20-%20%5Cfrac%7Bb%5E%7B2%7D%7D%7B2%7D%7D%20%3D%20%5Cfrac%7Bb%7D%7B%5Csqrt%7B2%7D%7D%20)
Hence, the sides are:
Therefore, the sides of the equilateral triangle are 11.7 m.
I hope it helps you!