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Irina18 [472]
3 years ago
13

What is the value of z for the parallelogram shown? A.130 B.40 C.10 D.26

Mathematics
2 answers:
galben [10]3 years ago
7 0
Z=10 because the opposite side is 50 degrees so the 5z=50

If you solve, z=10
schepotkina [342]3 years ago
3 0

Answer:

The correct option is C. The value of z is 10.

Step-by-step explanation:

According to the property of parallelogram, then opposite interior angles of a parallelogram are equal.

From the given graph it is clear that in parallelogram ABCD, angle A and angle C are opposite interior angles.

Using the property of parallelogram,

\angle A=\angle C                 (opposite interior angles of a parallelogram)

5z^{circ}=50^{circ}

5z=50

Divide both sides by 5.

z=\frac{50}{5}

z=10

The value of z is 10. Therefore the correct option is C.

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A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The busine
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Answer:

<u>The correct answer is :</u>

<u>D. 700x + 375y = 15,000 </u>

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Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Budget for airline tickets = US$ 15,000

Number of employees attending the conference = 27

Price of business-class ticket = US$ 700

Price of economy-class ticket = US$ 375

2. Let's create a system of equations that models how many of each type of ticket the business should purchase.

x = Number of employees flying business-class

y = Number of employees flying economy-class

<u>x + y = 27 (Number of employees attending the conference)</u>

<u>700x + 375y = 15,000 (Cost of employees flying business plus cost of employees flying economy equal to budget for buying the airline tickets) </u>

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3 years ago
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Nostrana [21]
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