Fill in the following 5 statements and 5 reasons used to complete this proof.
Fill in the following 5 statements and 5 reasons used - 2

Answers

Answer 1
Answer:

Answer:

AD ≅ CD.

Step-by-step explanation:

Statement : consider triangles ADB and DBC.

1) AB = CD

2) ∠ABD = ∠DBC

3) DB = DB

4) ⇒ ΔADB and ΔDBC are congruent triangles.

5) AD = DC.

Reasons ;

1) given, AB = CB

2) given, DB bisects ∠ ABC

3) common side of both triangles

4) as two sides and one angle are equal in both triangles

5) congruent triangles


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Write in expanded form 24.76?

Please help me with this.

Answers

You need to use multiplication to find the total (answer). Multiply each number side by side.

A number of miles driven this month was 30% decrease of the number of miles driven last month ?

Answers

Answer:

70 miles driven this month

Step-by-step explanation:

This is an algebra problem and denote A number of miles driven this month as x to be found

  • 30 % decrease of x number of miles for this month
  • last month miles driven = 100 %
  • then 100 % /100% * 100 miles = 100 miles
  • thus this month = 100 % - 30 % = 70 %
  • then for this month in miles =  70 %/ 100 % * 100 miles = 70 miles

Answer:

70 miles were driven this month

Step-by-step explanation:

suppose 100 miles were driven last month

30%= 30/100*100=30 miles

30% decreasewould be 100-30= 70 miles

A box is 20 centimeters long and 30 centimeters high. It's volume is 3,600 cubic centimeters. What is the width of the box?

Answers

We can start by looking at what we know.

We know that volume is equal to length x width x height. Filling in this equation with the values we're given:
20cm x width x 30cm =
3600cm^3

If we divide both sides by 20cm we get:
width x 30cm = 180cm^2

Next we can divide both sides by 30cm to get our answer:

width = 6cm
First you have to add 20 and 30. That gives you 50. Then you divide 3,600 by 50 and that is 72. So 72 is the width.

Identify the function that contains the data

Answers

Answer:

Option D is correct.i.e., f(x) = | x - 2 | + 1

Step-by-step explanation:

Function which satisfy the given data is our Ans.

So, we check for all functions.

Option A : f(x) = |x| + 1

put, x = -2

we get, f( -2 ) = |-2| + 1 = 2 + 1 = 3 ≠ 5

f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.

Option B : f(x) = | x-2 |

put, x = -2

we get, f( -2 ) = | -2 - 2 |  = | -4 | = 4 ≠ 5

f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.  

Option C : f(x) = | x-2 | - 1

put, x = -2

we get, f( -2 ) = | -2 - 2 | - 1  = | -4 | - 1 = 4 - 1 = 3 ≠ 5

f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.  

Option D : f(x) = | x-2 | + 1

put, x = -2

we get, f( -2 ) = | -2 - 2 | + 1  = | -4 | + 1 = 4 + 1 = 5

f ( -2 ) is  equal to given value of f ( -2 ).

put, x = 0

we get, f( 0 ) = | 0 - 2 | + 1  = | -2 | + 1 = 2 + 1 = 3

f ( 0 ) is  equal to given value of f ( 0 ).

put, x = 2

we get, f( 2 ) = | 2 - 2 | + 1  = | 0 | + 1 = 0 + 1 = 1

f ( 2 ) is  equal to given value of f ( 2 ).

put, x = 3

we get, f( 3 ) = | 3 - 2 | + 1  = | 1 | + 1 = 1 + 1 = 2

f ( 3 ) is  equal to given value of f ( 3 ).

put, x = 5

we get, f( 5 ) = | 5 - 2 | + 1  = | 3 | + 1 = 3 + 1 = 4

f ( 5 ) is  equal to given value of f ( 5 ).

Thus, This is function of given data.  

Therefore, Option D is correct.

What minus 3/10 equals 1/5

Answers

3/10 minus 1/5 equals 1/10

(3/10) - (1/5) = (1/10)

Explanation:

Make sure both fractions have the same denominator. 1/5 would turn into 2/10, and 3/10 would stay the same. When the denominators are equal, subtract the numerators to get the answer.

1/5 = 2/10

(3/10) - (2/10) = (1/10)

A researcher found that the sea level rose 1 5 of a centimeter in 2 3 of a year. At what rate did the sea level rise? A) 2 5 centimeter per year B) 3 5 centimeter per year C) 2 15 centimeter per year D) 3 10 centimeter per year

Answers

D) 3/10 per cen. year

Answer:

The answer is D

Step-by-step explanation:

3

10

centimeter per year

The sea level rose at a rate of  

1

5

2

3

=  

1

5

×  

3

2

=  

3

10

centimeter per year.

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