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Tema [17]
3 years ago
10

If 101! = (99!)x, then x = ?

Mathematics
1 answer:
beks73 [17]3 years ago
5 0
99!x=101!\ \ \ /:99!\\\\x=\frac{101!}{99!}\\\\x=\frac{99!\cdot100\cdot101}{99!}\\\\x=100\cdot101\\\\x=10\ 100
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Kaylis [27]

Answer:

9) JK = 24.5

10) LM = 24.5

11) m∡L = 51°

12) m∡M = 129°

Step-by-step explanation:

in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent

so, ∡K = ∡M and ∡J = ∡L

since ∡'s L and M are adjacent we can add them and set them equal to 180

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7z = 189

z = 27

therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51

Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM

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subtract 3x from each side to get:

4x = 14

x = 14/4 = 3.5

to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5

to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5

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