To find the value of x, and then find the angles of triangle RST, we first need to set up an equation equal to 180.
First, the equation = 180:
We have 31, x+4, and 3x+9.
What we can do is make an equation in which adds the angles to equal 180.
As so:
31 + x + 4 + 3x + 9 = 180
Combine like terms:
31 + x + 4 + 3x + 9 = 180
44 + x + 3x = 180
44 + 4x = 180
Now, we need to simplify this further by subtracting 44 from each side:
44 - 44 + 4x = 180 - 44
4x = 136
Next, to simplify this equation <em>even</em> further, we need to divide each side by 4 (Resulting in the x being alone on one side of the equation.)
4x / 4 = 136 / 4
x = 136 / 4
x = 34
Awesome! We now know that x = 34!
However, we are not completely finished with this problem. Let's continue.
To find the angles of S and T, we need to substitute 34 in for x:
S:
(x + 4)
(34 + 4)
38 <em>degrees</em>
T:
(3x + 9)
(3(34) + 9)
(102 + 9)
111 <em>degrees
</em>
<em />Amazing! We now can conclude all of the angles' measurements:
<em>R</em> = 31
<em>S</em> = 38<em>
</em><em>T = </em>111
Also, x = 34.
Hope I could help you out! If my math is wrong or it isn't the answer you were looking for, please let me know!
Have a good one.
Answer:
$25.44 (Final price including tax)
Answer:
Expressions are not equivalent
Step-by-step explanation:
Given expressions are:
Putting w=1 in both expressions
![4(3w+4)\\=4[3(1)+4]\\=4(3+4)\\=4(7)\\=28\\\\16w+12\\=16(1)+12\\=16+12\\=28](https://tex.z-dn.net/?f=4%283w%2B4%29%5C%5C%3D4%5B3%281%29%2B4%5D%5C%5C%3D4%283%2B4%29%5C%5C%3D4%287%29%5C%5C%3D28%5C%5C%5C%5C16w%2B12%5C%5C%3D16%281%29%2B12%5C%5C%3D16%2B12%5C%5C%3D28)
Both expression have value 28 on w=1
Putting w=3 in both expressions
![4(3w+4)\\=4[3(3)+4]\\=4(9+4)\\=4(13)\\=52\\\\16w+12\\=16(3)+12\\=48+12\\=60](https://tex.z-dn.net/?f=4%283w%2B4%29%5C%5C%3D4%5B3%283%29%2B4%5D%5C%5C%3D4%289%2B4%29%5C%5C%3D4%2813%29%5C%5C%3D52%5C%5C%5C%5C16w%2B12%5C%5C%3D16%283%29%2B12%5C%5C%3D48%2B12%5C%5C%3D60)
Both expression have different values at w=3
Hence, in order for the expressions to be equivalent they both should produce same value on w=3 too.
So, it can be concluded that both expressions are not equivalent ..
The 60 represents the rate at which the train is traveling in km per hour. So, I believe the answer would be D (sorry if this is wrong, to be honest I’m just using context clues)
