LH bisects GK at M. GM = 2x + 6, and
GK = 24. Find x.
АН
M
1 answer:
Answer:
Step-by-step explanation:
If LH bisects GK at M , then GM+MK = GK ang GM= MK
The equation becomes GM+GM = GK
2GM = GK
Substitute the value of GM and GK inti the formula
2(2x+6) = 24
4x+12 = 24
4x = 24-12
4x = 12
x = 12/4
x = 3
Hence the value of x is 3
You might be interested in
Answer
x= -7, -1
Step-by-step explanation:
x^2= -7x- 8
x^2+ 7x+ 8 =0
x+7=0 x+1=0
x=-7 x=-1
Answer:
The answers are A. and D.
Step-by-step explanation:
I Think it is 66.66666667
Answer:
Step-by-step explanation:
a = 5, b = -7 c = 1
![x=\frac{-b\pm\sqrt{{b^2-4ac}}}{2a}\\=\frac{-(-7)\pm\sqrt{{(-7)^2-4(5)(1)}}}{2(5)}\\\\=\frac{{7}\pm\sqrt{{49-20}}}{10}\\\\\\=\frac{{7}\pm\sqrt{{29}}}{10}\\\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7B%7Bb%5E2-4ac%7D%7D%7D%7B2a%7D%5C%5C%3D%5Cfrac%7B-%28-7%29%5Cpm%5Csqrt%7B%7B%28-7%29%5E2-4%285%29%281%29%7D%7D%7D%7B2%285%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B%7B7%7D%5Cpm%5Csqrt%7B%7B49-20%7D%7D%7D%7B10%7D%5C%5C%5C%5C%5C%5C%3D%5Cfrac%7B%7B7%7D%5Cpm%5Csqrt%7B%7B29%7D%7D%7D%7B10%7D%5C%5C%5C%5C)
so
![x_1=\frac{7+\sqrt{29}}{10}\\x_2=\frac{7-\sqrt{29}}{10}](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B7%2B%5Csqrt%7B29%7D%7D%7B10%7D%5C%5Cx_2%3D%5Cfrac%7B7-%5Csqrt%7B29%7D%7D%7B10%7D)
Put the given values of a, b, c in the standard form
![f(x)=ax^{2}+bx+c](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E%7B2%7D%2Bbx%2Bc)
It only matches the last selection ...
... f(x ) = –3.5x² + 2.7x – 8.2