Answer:
<2 = 75
<1 = 105
Step-by-step explanation:
<2 and 75 are alternate interior angles and since the lines are parallel, they are equal
<2 = 75
<2 + <1 = 180 since the angles form a line
75+ <1 = 180
Subtract 75 from each side
<1 = 180-75
<1 = 105
Converse: False because he can live somewhere else but still belong in Hawaii
Inverse: False because he can live somewhere else but still belong in Hawaii
Contrapositive: True because Honolulu belongs to Hawaii so if he doesn't live in Hawaii he absolutely can't live in Honolulu
42 - -84=-42
Hope this helps :)
Answer:
3.33×10⁴
Step-by-step explanation:
You can use the hint, or you can use a common exponent. Here is the latter case.
(3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴
= 3.33×10⁴
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With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...
5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴
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When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:
(3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³
= 33.3×10³ = 3.33×10⁴
The answer is -4x+64+2x^2
