Step-by-step explanation:
CDE = 2x, DEF = x
hexagon = 720°
720 = 115 + 145 + 160 + 90 + 2x + x
720 = 3x + 510
720 - 510 = 3x
210 = 3x
x = 210 ÷ 3
x = 70°
CDE = 2x
= 2(70)
= 140°
Answer:
x= 0, and x=4
Step-by-step explanation:
x² -x = 3x, we can subtract 3x from both sides
x² -x -3x = 0, combine like terms
x² -4x = 0 , factor x
x *( x-4) = 0, if the product of 2 numbers equals 0 at least one is 0
x=0 and
x-4 = 0, add 4 to both sides
x= 4
Solution:
we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).
First we will find the slope of the line using the formula
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%20)
Plugin the given values we get
![m=\frac{-2-4}{4-7}=\frac{-6}{-3}=2](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B-2-4%7D%7B4-7%7D%3D%5Cfrac%7B-6%7D%7B-3%7D%3D2%20%20%20)
Now using the point slope form of a straight line
![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%20%28y-y_1%29%3Dm%28x-x_1%29%20)
Plugin the values
![(y-4)=2(x-7)\\ \\ y=2x-14+4\\ \\ y=2x-10\\](https://tex.z-dn.net/?f=%20%28y-4%29%3D2%28x-7%29%5C%5C%20%5C%5C%20y%3D2x-14%2B4%5C%5C%20%5C%5C%20y%3D2x-10%5C%5C%20)
Hence the correct option is a.
Hey there!
Answer-
See Below.
Step by step explanation-
Let the number of 50 paise coins be x, then the number of 25 paise coins will be 4x.
The value of 50 paise coins is 50x paise and the value of 25 paise coins be 25(4x)=100x paise.
According to the giving condition,
![50x + 100x = 6000](https://tex.z-dn.net/?f=50x%20%2B%20100x%20%3D%206000)
![= > x = \frac{6000}{150} = 40](https://tex.z-dn.net/?f=%3D%20%20%3E%20x%20%3D%20%20%5Cfrac%7B6000%7D%7B150%7D%20%20%3D%2040)
∴The number of 50 paise coins is 40 and number of 25 paise coins is 4x=4(40)=160.
Answer:
2x+3/8
Step-by-step explanation: