Answer: x = 35°
Steps:
(x + 10) + (3x - 5) + x = 180
x + 10 + 3x - 5 + x = 180
5x + 10 - 5 = 180
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
Check:
(x + 10) + (3x - 5) + x = 180
(35 + 10) + (3*35 - 5) + 35 = 180
45 + 100 + 35 = 180
180 = 180 ✅
Answer: D
Step-by-step explanation:
![f(3)=5(-3)-1=-16\\\\\\g(3)=2(-3)^{2}+1=19\\\\(f\times g)(3)=-16 \times 19=\boxed{-304}](https://tex.z-dn.net/?f=f%283%29%3D5%28-3%29-1%3D-16%5C%5C%5C%5C%5C%5Cg%283%29%3D2%28-3%29%5E%7B2%7D%2B1%3D19%5C%5C%5C%5C%28f%5Ctimes%20g%29%283%29%3D-16%20%5Ctimes%2019%3D%5Cboxed%7B-304%7D)
Answer:
The formula that represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A) is
.
Step-by-step explanation:
We are given the area of an Equilateral triangle which is A =
. And we have to represent the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).
So, the area of an equilateral triangle =
where, s = side of an equilateral triangle
A =
Cross multiplying the fractions we get;
![\sqrt{3} \times \text{s}^{2}= 4\text{A}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%5Ctimes%20%5Ctext%7Bs%7D%5E%7B2%7D%3D%204%5Ctext%7BA%7D)
Now. moving
to the right side of the equation;
Taking square root both sides we get;
Hence, this formula represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).