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
Answer:
71.60ft
Step-by-step explanation:
Hello,
The question above requires us to use find the relationship between the angle and the length of the slide.
To solve this question, it is pertinent to get the diagram correctly so as to get the answer right.
See attached document for better illustration.
From the diagram,
We have the value of the opposite side or the triangle, and the angle of depression.
Using SOHCAHTOA,
Tanθ = opposite / adjacent
θ = 31.66°
Opposite = 46ft
Adjacent = x
Tanθ = opp / adj
Tan31.66 = 46 / x
X = 46 / tan31.66
X = 46 / 0.6166
X = 71.60ft
The height of the slide is 71.60ft
Step-by-step explanation:
Let minimum score on the final exam to earn an A be X


Further solving :
X = <em> </em>99 marks
Answer:
is this the full question?
Step-by-step explanation:
4%, put 32 into 32/100 and 28 into 28/100.