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oksano4ka [1.4K]
3 years ago
13

store owner decides to mark up all items by 30%. What is the selling price of an item that originally cost $10?

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
0.030 × 10 =.0.3. 0.3 +10 = 10.3
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A triangle ABC is similar to a triangle A´B´C´ The scale factor of the dilatation : s.
0 * s =0
4 * s = 10
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The scale factor of the dilatation is 2.5.  It is shown in the attachment.
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A triangle has sides with length of 3 4 and 5 feet yes or no?
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Answer: Yes.

Step-by-step explanation:

This is a right angled triangle.

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This line plot shows something about trails in a state park. What is true about the data in this line plot?
Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

<u><em>The complete and correct question is</em></u>

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.    

<u><em>The picture in the attached figure</em></u>

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

AD=AB+BC+CE+ED ---> by segment addition postulate

substitute the given values

AD=a+5+b+3=(a+b+8)\ km

substitute the value of a and b

AD=(12+4+8)=24\ km

step 4

Find the total length of the Elm Trail  (dashed red line)

The total length is equal to

AD=AC+CD ---> by segment addition postulate

substitute the given values

AD=13+5=18\ km

<u><em>Verify the following statements</em></u>

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

18\ km < 24\ km

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

24-18=6\ km

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

24-18=6\ km

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