Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is select
2 answers:
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Answer:
Check boxes 3, 4, 6, and 8.
Step-by-step explanation:
We have the equation:
And we want to select all equations that are perpendicular to the above equation.
Remember that perpendicular lines have slopes who are negative reciprocals of each other.
Therefore, the slope of our equations must be the negative reciprocal of -3.
The negative reciprocal of -3 is 1/3. We flipped -3 to -1/3, and then multiplied by a negative.
Therefore, any equation with a slope of 1/3 is perpendicular to our original line.
Therefore, we will check boxes 3, 4, 6, and 8.
Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180°
For an item that cost $ 42, Mick paid $2.94 in sales tax. So percentage of sales tax is
And we have to find the sales tax that he paid for an item that cost $58, and for that , we have to find 7% of 58 , that is
So he pays a sales tax of $4.06 .