Answer:
x=2
Step-by-step explanation:
8 + x = 4x +2
Subtract 4x from both sides:
8 + x - 4x = 4x + 2 - 4x
Group like terms:
x - 4x + 8 = 4x + 2 -4x
Simplify the arithmetic:
-3x + 8 = 4x + 2 -4x
Group like terms:
-3 + 8 = 4x - 4x + 2
Simplify the arithmetic:
-3x + 8 = 2
Answer:
The probability of its compliments = 0.7143 = 5/7
Step-by-step explanation:
The probability of an events = P= 2/7 = 0.2857
The probability of its compliments = 1-p = 1-0.2857 = 0.7143 = 5/7
7+4a=55
4a=55-7
4a=48
a=48/4
a=12
Answer:
D. 5
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
QR = ½(OP + MN)
Substitute
27 = ½((5x - 7) + (6x + 6))
27 = ½(5x - 7 + 6x + 6)
Add like terms
27 = ½(11x - 1)
Multiply both sides by 2
2*27 = 11x - 1
54 = 11x - 1
54 + 1 = 11x
55 = 11x
55/11 = x
5 = x
x = 5
Answer:
62.7°
Step-by-step explanation:
9 = Hypotenuse
8 = Opposite
In this question we have to use some trigonometry to work out angle EFG. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 8 ÷ 9
The value of angle EFG is 62.73395555
