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aev [14]
2 years ago
8

In the diagram below, DE is parallel to XY. What is the value of y?

Mathematics
2 answers:
zlopas [31]2 years ago
4 0

Answer:

D. 122

Step-by-step explanation:

We have been given that line DE is parallel to XY. We are asked to find the value of y.

We can see that angle y and angle with measure 122 degrees are alternate exterior angles as they are formed outside of parallel line and on the opposite side of transversal.

By alternate exterior angles postulate both angles are equal, therefore, the value of y is 122.

Veronika [31]2 years ago
3 0
The answer is D. 122
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A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the
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Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600        Eqn 1

2.8x+4.1y=5624     Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480     Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880

Hence,

Number of high quality version downloads = 880

3 0
3 years ago
A rectangular prism has a volume of 729 ft3. The length width and height are all the same. What is the is the length of each sid
swat32

Answer:

9 ft

Step-by-step explanation:

As length, width and height are same, then it is a square prism / cube

Volume of prism = 729 ft³

side³ = 729

side³ = 9³

Side = 9 ft

3 0
3 years ago
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You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo o
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Answer:

9.

Step-by-step explanation:

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}

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Now let us compare sides of our original photo with corresponding sides of poster.

\frac{36}{4} =9          

Now let us compare the second pair of corresponding sides.

\frac{54}{6} =9

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

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3 years ago
What is the value of this expression?<br> 40÷ [24- 4 x (2+3)]
andrey2020 [161]

Answer:

0

Step-by-step explanation:

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2 years ago
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6x + 7 - 4x + 8 – x
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Step-by-step explanation:

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