Answer: Side QR
Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:
5x - 27 +4x - 7 + 3x + 10 = 180
12x = 204
x = 17
With x, solve for the angles:
m∠P = 5(17) - 27 = 58
m∠Q = 4(17) - 7 = 61
m∠R = 3(17) + 10 = 61
The relationship between angles and sides in any triangle:
- the largest angle is opposite the largest side;
- the middle angle is opposite to the middle-sized side;
- the shortest angle and side are opposite to each other;
So, the shortest side of PQR is the side opposite to the shortest angle.
The shortest angle is m∠P = 58°. Therefore, the shortest side is QR
The constant of proportionality is the slope, which is found with the ratio y/x.
Let's take a point (x,y) and change it to y/x to get our constant, starting with (2,48). 48/2 = 24, so the constant is 24.
We can do the same thing with (4,96): 96/4 = 24.
Answer: 24
The answer you are looking for is C
We have to find the value of 'x' in 
By using the complementary angle formula which states:
Now,
Therefore, we get
