Answer:
60
Step-by-step explanation:
DEF=180
DE=120
180-120=60
i hope this helps
Step-by-step explanation:
Exercícios:
9. Sobre o estudo de equações, escreva V para as afirmações verdadeiras e F para as falsas.
a) ( ) A expressão 17 - 4x + 25 representa uma equação.
b) ( ) O número 23 representa um dos membros da equação -9x + 4 = 23.
c) ( ) Na equação x + 4 = 3x + 20, a incógnita é x.
d) ( ) A equação 3y - 15 = 0 não tem segundo membro.
I don’t know sorry! ⚠️⚠️ but I hope that you can find the answer
Answer: The area common to both triangle is 31.77 sq. cm.
Step-by-step explanation:
Since we have given that
30-60-90 triangles are placed.
So, the ratio of sides would be
![1:\sqrt{3}:2](https://tex.z-dn.net/?f=1%3A%5Csqrt%7B3%7D%3A2)
Since Hypotenuse = 12 cm
So, it becomes,
![2x=12\\\\x=\dfrac{12}{2}=6](https://tex.z-dn.net/?f=2x%3D12%5C%5C%5C%5Cx%3D%5Cdfrac%7B12%7D%7B2%7D%3D6)
So, Base would be
![x=6\ cm](https://tex.z-dn.net/?f=x%3D6%5C%20cm)
and Perpendicular would be
![\sqrt{3}x=6\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7Dx%3D6%5Csqrt%7B3%7D)
So, Area common to the both triangles would be
![\dfrac{1}{2}\times base\times height\\\\=\dfrac{1}{2}\times 6\times 6\sqrt{3}\\\\=18\sqrt{3}\\\\=31.177](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%206%5Ctimes%206%5Csqrt%7B3%7D%5C%5C%5C%5C%3D18%5Csqrt%7B3%7D%5C%5C%5C%5C%3D31.177)
Hence, the area common to both triangle is 31.77 sq. cm.