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Lelu [443]
3 years ago
5

Over the last three evenings Karen received a total of 106 phone calls at the call center. The first evening, she received 6 mor

e calls than the second evening. The third evening, she received 3 times as many calls as the second evening. How many phone calla did she receive each evening?
Mathematics
1 answer:
marta [7]3 years ago
3 0

\huge\bf\red{Answer}

<em>The third evening, she received 2 times as many calls as the second evening. The first evening, she received 6 more calls than the second .</em>

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>you</em><em> </em>

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LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.
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In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

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Response:

The true statements are;

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  • <u>m∠N = 59°</u>
  • <u>m∠O = 121°</u>

<h3>Which property of parallelogram are used to find the true statements?</h3>

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

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