Refer to the diagram below.
Because ray NP bisects ∠MNQ, therefore
∠MNP = ∠PNQ = 2x + 1.
Therefore
∠MNQ = 2*∠PNQ = 2(2x + 1) = 4x + 2.
Because ∠MNQ is given as x² - 10, therefore
x² - 10 = 4x + 2
x² - 4x - 12 = 0
(x + 2 )(x - 6) = 0
x = -2, or x = 6
When x = -2,
∠MNQ = 4*(-2) + 2 = -6°
This answer is not acceptablle, therefore x = -2 should be rejected.
When x = 6,
∠MNQ = 4*6 + 2 = 26°
Answer: x = 6, and ∠MNQ = 26°
Ooh, this is a tough one. I'll try my best to answer.
Ok, for the town that decreased in population it would of gone to <span>21551.38 citizens. For the one that increased in population by 8% it would be </span><span>24761.16.
Hope that helps!</span>
Answer : (13)
Let x be the number of party favors in each (27 boxes)
Let y be the number of favors in last box
Given : total of party favors = 1552
27 boxes + last box = 1552
27x + y = 1552
We divide 1552 by 27, the quotient will be our x and the remainder will be y(number of party favors in last box)
Use long division
= 57 and remainder is 13
the number of party favors in each of (27 boxes) = 57
the number of party favors in last box = 13
So, there are 13 party favors in last box.
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Answer by JKismyhusbandbae: So to find the pattern we can subtract 49 and 42 to get 7 which should be our pattern to double check add 49 plus 7 to get 56 so 56 plus 7 equals 63.