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MariettaO [177]
3 years ago
11

Evaluate 2(x + 1) - 3 when x = 6.

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

Evaluate 2(x + 1) - 3 when x = 6.

First, plug in x value.

2(6 + 1) -3   ParenthesisEMDAS

2(7) - 3       PEMultiplyDAS

14 - 3          PEMDASubtract

11 ←

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If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.
oksian1 [2.3K]

Answer:

NK = 15

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Step-by-step explanation:

Given

MK = 30

NL = 13

\angle MKL = 41

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

NK = \frac{1}{2} * MK

NK = \frac{1}{2} * 30

NK = 15

Solving (b): JL

JL is a diagonal, and it is twice of NL.

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To solve for KL, we consider triangle KNL where:

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and

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Solving (d - h):

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Alternate interior angles are equal. So:

\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41

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\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49

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\angle JKM =49

\angle JML =41

\angle MLK = \angle MLJ + \angle JLK

\angle MLK = 49 + 41

\angle MLK = 90

\angle MNL =90

\angle KJL =41

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