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3 years ago

Match each statement to the reasons given for the geometric proof.

Mathematics

1 answer:

Savatey [412]3 years ago

5 0

Answer: 5, 3, 1, 2, 6, 4

Step-by-step explanation:

The proof should be written as follows (which is a different order than provided):

Statement Reason

1. ABCD is a parallelogram 1. Given

2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram

3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem

4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem

5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem

6. AE = CE and BE = DE 6. CPCTC

This is the order provided in your question:

5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem

3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem

1. ABCD is a parallelogram 1. Given

2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram

6. AE = CE and BE = DE 6. CPCTC

4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem

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3 years ago

Lillian multiplies two numbers as follows: A Times. B = C. Given that A has five significant figures and two decimal places and

marta [7]

The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Given :

Lillian multiplies two numbers.
A has five significant figures and two decimal places and B has six significant figures and four decimal places.

The following steps can be used in order to determine the total number of significant figures of C:

Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.

Step 2 - It is also given that C is equal to A times B.

Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Therefore, the correct option is C).

For more information, refer to the link given below:

brainly.com/question/11904364

3 0

3 years ago

After being rearranged and simplified, which of the following equations could

masha68 [24]

Answer:

C and D

Step-by-step explanation:

The quadratic formula is

x= (-b±√b²-4ac)/2a

The formula uses the numerical coefficients in the quadratic equation.

The general quadratic equation is ax²+bx+c where a, b and c are the numerical coefficients

So, lets try and see;

$5x+4=3x^4-2\\\\=3x^4-5x-2-4\\=3x^4-5x-6\\a=3,b=-5,c=-6$

But due to the fact that in this equation you have x⁴, the equation is not a quadratic equation thus can not be solved using this formula

$-x^2+4x+7=-x^2-9\\\\\\=-x^2+x^2+4x+7+9\\=4x+16$

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$2x^2+x^2+x=30\\\\\\=3x^2+x-30\\\\\\a=3,b=1,c=-30$

From the checking above, the equations will be C and D

7 0

3 years ago

Read 2 more answers

How to solve this equation 5x-4-7x=4

elixir [45]

Answer:

x= -4

Step-by-step explanation:

Simplifying

5x + -4 = 7x + 4

Solving

-4 + 5x = 4 + 7x

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-4 + 5x + -7x = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x

-4 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0

-4 + -2x = 4 + 0

-4 + -2x = 4

Add '4' to each side of the equation.

-4 + 4 + -2x = 4 + 4

Combine like terms: -4 + 4 = 0

0 + -2x = 4 + 4

-2x = 4 + 4

Combine like terms: 4 + 4 = 8

-2x = 8

Divide each side by '-2'.

x = -4

Simplifying

x = -4

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3 years ago

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Brut [27]

Answer:

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Step-by-step explanation:

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