3x-5=-6x+13 : Given
3x=-6x+18 : Addition property of Equality
9x=18: Subtraction property of Equality
x=2: Division Property of Equality
Step-by-step explanation:
We need to give justification to each step
Step 1:
3x-5=-6x+13
This is the question given, which we need to solve and find value of x.
Justification: Given
Step 2:
Adding 5 on both sides of the equation using addition property of equality.
3x-5+5=-6x+13+5
Simplifying
3x=-6x+18
Justification: Addition property of Equality
Step 3:
Adding 6x on both sides of the equation
3x+6x=-6x+18+6x
9x=18
Justification: Subtraction property of Equality
Step 4:
Divide both sides of the equation by 9, to find the value of x using division property of equality
9x/9=18/9
x=2
Justification: Division Property of Equality
Keywords: Solving Equations
Learn more about Solving Equations at:
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Answer:
∠ F = 80°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
7x + 7x + 4x + 7x + 7x + 4x = 720
36x = 720 ( divide both sides by 36 )
x = 20
Then
∠ F = 4x = 4 × 20° = 80°
Answer:
1/480
Step-by-step explanation:
<h3>for the 6 sided one</h3>
rolling a 5 is 1/6
<h3>for the 8 sided one</h3>
rolling a 5 is 1/8
<h3>for the 10 sided one</h3>
rolling a 5 is 1/10
total probability= 1/6*1/8*1/10
= 1/480
23 and 29 are the only 2 prime numbers from 20 to 30
Answer:
Step-by-step explanation:
X²=12x-40
X²-12x+40=0
a=1 and b= -12 and c = 40
delta = b² - 4ac
delta = (-12)² - 4(1)(40) = 144 - 160 = - 16 = (4i)² ....i² = -1
x1= (12-4i)/2 =6-2i
x1= (12+4i)/2 =6+2i