Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
3. Credit Card: (1842.66 - 250) (.145/12) = $19.24
Savings: 250(0.04/12) = $0.83
Difference = 19.24 - 0.83 = $18.41
4. Credit Card: (1842.66 - 500) (.145/12) = $16.22
You will save $18.41 - $16.22 = $2.19 by putting all $500 toward the higher credit card rate.
First write the equation 8 + 12 > x because according to the triangle property, the sum of any 2 sides have to be greater than the third side. This means that the difference of any two sides should be smaller than the third side.
So, the answer would be 4 < x < 20.
Answer:
14.85
Step-by-step explanation:
4.4 x 2.75 = 14.84
2.75
4.4
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(Multiply it out)