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vaieri [72.5K]
3 years ago
13

A quiz consists of 6 questions. The instructor would like to create different versions of the quiz where the order of the proble

ms are scrambled for each student. In how many ways can this be done?
Mathematics
1 answer:
Alisiya [41]3 years ago
4 0
I believe you would do 6! which is 6*5*4*3*2*1 to find the number of solutions.
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P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ
Ierofanga [76]

It's given in the question,

P, Q, V and K are collinear.

VP = 14x + 4

PK = x + 630

VQ = 17x + 6

KQ = 11x + 5

By segment addition postulate,

KQ + VQ + VP = KP

Substitute the values in the expression,

(11x + 5) + (17x + 6) + (14x + 4) = x + 630

(11x + 17x + 14x) + (5 + 6 + 4) = x + 630

42x + 15 = x + 630

42x - x = 630 - 15

41x = 615

x = \frac{615}{41}

x = 15

Therefore, value of VP = (14x + 4)

                                      = 14(15) + 4

                                      = 214 units

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U have to pay 9.985$
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The top left is the correct answer, because the sides are parallel.

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