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Alexxx [7]
3 years ago
15

Which pair of angles are vertical angles?

Mathematics
2 answers:
Darina [25.2K]3 years ago
6 0
The answer would be D.) ∠ERT and ∠MRC
Irina-Kira [14]3 years ago
3 0

Answer:

Option 4.∠ERT and ∠MRC

Step-by-step explanation:

Definition of vertical angles  : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross).They are also called vertically opposite angles.

Option 1. ∠KRC and ∠CRH

Refer the figure .

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 2. ∠KRE and ∠ERT

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 3. ∠MRC and ∠KRM

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 4.∠ERT and ∠MRC

MT and EC are the two lines that cross each other at vertex R ,

Thus ∠ERT and ∠MRC are opposite to each other .

Hence ∠ERT and ∠MRC are pair of vertcal angles .



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A piece of chalk is 34/56 centimeter long. Brian breaks off 23/56 centimeter long. Sara added 12/56 centimeter to the chalk that
mr Goodwill [35]

Answer:

23/56 centimeters

Step-by-step explanation:

all of the variables have a common denominator, so you can effectively ignore the denominator when solving.

1. you start off with 34/56 centimeter of chalk and Brian breaks off 23/56 centimeters worth, leaving you with 11/56 centimeters

\frac{34}{56} -\frac{23}{56} =\frac{11}{56}

2. Sara then added 12/56 centimeters worth, making the final amount 23/56 centimeters of chalk

\frac{11}{56}+\frac{12}{56} =\frac{23}{56}

An equation to summarize all of this is:

\frac{34}{56} -\frac{23}{56} +\frac{12}{56}

7 0
4 years ago
Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by
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Answer:

$91.67.

Step-by-step explanation:  

We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.

A. Let us find area covered by nylon by multiplying 10 by 8.

\text{ Amount of Nylon needed to cover the garden}=10\text{ feet}*8\text{ feet}

\text{ Amount of Nylon needed to cover the garden}=80\text{ feet}^{2}

Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

\text{ Amount of Nylon needed to cover the garden}=80*0.111111\text{ yards}^{2}

\text{ Amount of Nylon needed to cover the garden}=8.88889\text{ yards}^{2}

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.

\text{ Cost of Nylon cover of the garden}=8.88889*5.25

\text{ Cost of Nylon cover of the garden}=46.6666725\approx 46.67

Therefore, the cost of nylon cover will be $46.67.

B. Now let us find length of rope by finding the perimeter of the garden.

\text{Length of rope}=2(10+8)\text{ feet}

\text{Length of rope}=2(18)\text{ feet}

\text{Length of rope}=36\text{ feet}

Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.

\text{Cost of rope}=36*1.25

\text{Cost of rope}=45

Therefore, the cost of rope will be $45.

To find the total cost to make the cover we will add cost of nylon cover and cost of rope.

\text{Total cost to make the cover}=45+46.67

\text{Total cost to make the cover}=91.67

Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.

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Answer:

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Step-by-step explanation:

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Kaylis [27]

Answer:

1000 meters below sea level

Step-by-step explanation:

Since the submarine dives at a depth of 4 times 200 meters, then it dives 800 meters.

Sso the submarine now is at 200 meters + 800 meters =1000 meters below sea level.

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