4.5w = 5.1w -30
4.5w - 5.1w = 5.1w - 5.1w -30 (subtracted 5.1w on both sides)
4.5w - 5.1w = -30 (next combine like terms)
-0.6w = -30 (next do the inverse operation of w)
w = -30 ÷ -0.6
w = 50 (it became positive cause minus and minus = positive)
so your final answer is: w = 50
Hope that helps:D
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
470000 is the most reasonable
Answer: 0.84 as a fraction is 84/100
Greatest common factor is 4
Resulting fraction is 21/25
Addition of numerator and denominator of the resulting fraction is 46
Step-by-step explanation:
From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84
Convert 0.84 to fraction = 84/100
The numerator and denominator in 84/100 are both positive integers.
The greatest common factor to the numerator and denominator is 4
Divide 84 by 4 = 21
Divide 100 by 4 = 25
Therefore, the resulting fraction is 21/25
Addition of 21 and 25 equals 46.
I hope this helps.
