Answer:
The value of x is 17
Step-by-step explanation:
The sum of the angles in a triangles is 180°
From the question:
In ΔVWX,
m∠V=(4x+3) ∘
m∠W=(x+7) ∘
m∠X=(5x+0) ∘ .
Hence:
m∠V + m∠W + m∠V = 180°
4x + 3 + x + 7 + 5x + 0 = 180°
Collect like terms
4x + x + 5x + 3 + 7 + 0 = 180°
10x + 10 = 180°
Subtract 10 from both sides
10x + 10 - 10 = 180° - 10
10x = 170
Divide both sides by 10
10x/10 = 170/10
x = 17
The value of x is 17
The original perimeter is 32ft.
The dimensions of the new rectangle are 72 ft wide and 24 ft long.
The new perimeter is 192 ft.
When the dimensions are multiplied by 6, the perimeter also multiplied by 6.
Before the driver applies the brakes ( with the reaction time ):
d 1 = v0 · t = 20 m/s · 0.53 s = 10.6 m
After that:
v = v0 - a · t1
0 = 20 m/s - 7 · t1
7 · t1 = 20
t1 = 2.86 s
d 2 = v 0 · t1 - a · t1² / 2
d 2 = 20 m/s · 2.86 s - 7 m/s² · (2.86 s)²/2 = 57.2 m - 28.6 m = 28.6 m
d = d 1 + d 2 = 10.6 m + 28.6 m = 39.2 m
Answer: the stopping distance of a car is 39.2 m.
9:1 because you divide both sides by 8. Hope this helps :)
