Suppose that angle P = 3x + 14 and angle Q = 3x - 27. If these angles are supplementary, angle Q would need to be ___ degrees.
1 answer:
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Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b = = 9
Answer:
The parents who didn't answer with either naughty and nice are <u>6</u>.
Step-by-step explanation:
Given:
150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.
Now, to find parents who didn't answer with either naughty and nice.
<em>So, as given in question:</em>
<em>70% said that their kids are naughty.</em>
<em>26% said that their kids are nice.</em>
So, to get the percentage of parents who didn't answer we subtract.
<em>Thus, the percentage of parents who didn't answer with either naughty and nice:</em>
100% - (70% + 26%)
100% - 96% = 4%.
Hence, 4% of parents didn't answer.
Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:
<em>Total parents surveyed = 150.</em>
<em>Parents who didn't answer = 4% of the total parents surveyed.</em>
Therefore, the parents who didn't answer with either naughty and nice are 6.