Answer:
2.a) 3 ( x - 1 ) = 5x - 6 (Because the sides of a square are always equal)
b) 3 ( x - 1 ) = 5x - 6
=> 3x - 3 = 5x - 6
=> 3x - 5x = -6 + 3 (Law of transposition)
=> -2x = -3
=> -x = -3/2
=> -x = -1.5
=> x = 1.5 (By cancelling out the negative sign from both the sides)
c) 3(x-1) = 3 (1.5 - 1)
=> 3 (0.5)
=> 3 * 0.5 = 1.5
Both the angles are 1.5 because they are equal
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8(x + 2) = 36.....distribute thru the parenthesis
8x + 16 = 36....subtract 16 from both sides
8x = 36 - 16
8x = 20...divide both sides by 8
x = 20/8
x = 5/2 or 2 1/2
The 3rd angle would be 96°
all triangles add up to 180°
180-56-28 = 96
It would be 20,000,000 or 20 million. So B
Answer:
12 nickels and 13 dimes
Step-by-step explanation:
d = # of dimes
n = # of nickels
Set up a System of Equations as follows:
d + n = 25
.10d + .05n = 1.90
now solve for 'd' or 'n' and use Substitution:
d = 25-n
.10(25-n) + .05n = 1.90
2.5 - .10n + .05n = 1.90
-.10n + .05n = -0.6
-.05n = -0.6
n = -0.6/-.05
n = 12
d + 12 = 25
d = 13
Check: 12(.05) + 13(.10) should equal 1.90
0.60 + 1.30 = 1.90
1.90 = 1.90
