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iragen [17]
3 years ago
7

Help me on geometry ​

Mathematics
2 answers:
Neko [114]3 years ago
7 0

Answer:

A

Step-by-step explanation:

x+45=60

Stels [109]3 years ago
5 0

Answer:

A.60=(x+45)

Step-by-step explanation:

these are Alternate angles therefore, 60=(x+45)

x=60-45

x=15

the two angles are equal in alternate angles =x+45

= 15+45

=60

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The sanitation department calculated that last year each city resident produced approximately 1. 643 × 103 pounds of garbage. Th
mote1985 [20]

Answer:

  (d)  428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

  (1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

  ≈ 428.82×10^6 lb

  = 428,820,000 lb . . . of garbage

4 0
2 years ago
You download 12 new songs to your MP3 player. then you delete 5 old songs.Write each amount as an interger
ASHA 777 [7]

Given statement is "You download 12 new songs to your MP3 player. then you delete 5 old songs."

We have to write each amount as an integer.

Download 12 new songs means you are adding number to your MP3 player so we will use + sign for 12

So the amount in integer form will be +12


Ddelete 5 old songs means you are subtracting number from your MP3 player so we will use - sign for 5

So the amount in integer form will be -5


combining both expressions we can write final statement as:

+12-5

Which can be simplified to +7.

3 0
3 years ago
Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50?
VikaD [51]

Answer:

150 sheets is the better buy.

Step-by-step explanation:

Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'

If you buy 150 cost per sheet =  $3.50 / 150 = $0.0233.....

So buying 150 sheets is the better buy.

4 0
3 years ago
Kelsey starts downloading a file. After 44 seconds, her computer says "40% of the file has downloaded."
Nonamiya [84]
110 seconds is answer
8 0
2 years ago
The lengths of a rectangular garden, the inner rectangle, is 9ft more than its width. For the garden. Let x = width, x + 9 = len
FinnZ [79.3K]

Answer:

PQ = x + 13

The dimension of the garden is 52.5ft by 43.5ft

Step-by-step explanation:

Given

The shape above

Required

Determine PQ

Determine dimension of the garden

Calculating Length PQ

Represent the length of the inner rectangle as L

Represent the width of the inner rectangle as W

W = x

L = x + 9

The distance between the inner rectangle and the outer triangle is 4ft

This implies that;

PQ = L + 4

Substitute x + 9 for L

PQ = x + 9 + 4

PQ = x + 13

Also;

QR = W + 4

Substitute x for W

QR = x + 4

Calculating The Dimension of The Garden

First, we need to determine the Area of the inner rectangle

Area_1 = L * W

Recall that  W = x and L = x + 9

So;

Area_1 = x * (x + 9)

For the bigger rectangle

Area_2 = PQ * QR

Recall that  PQ = x + 13 and QR = x + 4

So;

Area_2 = (x + 13)(x + 4)

Given that the Area of the walkway is 400ft^2

This implies that

Area_2 = Area_1 + 400

Substitute Area_1 = x * (x + 9) and Area_2 = (x + 13)(x + 4)

(x + 13)(x + 4) = x * (x + 9) +  400

Open All Brackets

x^2 + 13x + 4x + 52 = x^2 + 9x +  400

x^2 + 17x + 52 = x^2 + 9x +  400

Collect Like Terms

x^2 - x^2 + 17x - 9x =  400- 52

8x = 348

Divide both sides by 8

\frac{8x}{8} = \frac{348}{8}

x = \frac{348}{8}

x =43.5

Since the dimensions of the garden is W = x and L = x + 9

<em>Substitute 43.5 for x in both cases</em>

L = 43.5 + 9 = 52.5

W = 43.5

<em>Hence, the dimension of the garden is 52.5ft by 43.5ft</em>

5 0
3 years ago
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