Answer:
∠ YVZ = 56°
Step-by-step explanation:
∠ WVZ = 90° ( given ), thus
∠ WVY + ∠ YVZ = 90, substitute values
2x + 3x + 5 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Thus
∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°
Answer:
Step-by-step explanation:
The perimeter is obtained by taking the sun of the fence :
Outer fencing :
Let's obtain b :
From Pythagoras :
b² = 15² - 12²
b = sqrt(225 - 144)
b = 9
Outer fencing = 2(12+6) + 2(8+9)
= 2(18) + 2(17)
= 36 + 34
= 70
Inner fencing :
(8 + 9 + 12 + 6 + 15 + 10) = 60
(70 + 60) = 130 yards
2 steering wheels manufactured each hour were defected
There were 50 steering wheels manufactured per hour
The fraction is

Divide 2, which is the numerator by 50, which is the denominator
2÷50=.04
To change any decimal into a fraction, multiply by 100
The multiply .04 by 100 to change into a percentage
.04×100=4.⇒4%
4% is the percentage of defective steering wheels
It is the same as commutative, just flipping the position of the numbers. For multiplication, it is the same. 3x2=2x3. But with division, you are dividing the second number from the first, so it matters what number is first and can affect it heavily.