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chubhunter [2.5K]
3 years ago
7

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

<u>Step-by-step explanation:</u>

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

  <u>Statement                       </u>                         <u>Reason                                         </u>

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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OverLord2011 [107]

Answer:

rework the equation

y - 1 = 0.2x - 0.4

y = 0.2x - 0.4 + 1

y = 0.2x + 0.6

0.6 is the intercept

to find x

0= 0.2x + 0.6

-0.6 = 0.2x

x = -3

plot linear

8 0
3 years ago
1.Write an example of how the product of two different irrational numbers can be a rational number.
Digiron [165]

Answer:

1 "The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.

2 The quotient has widespread use throughout mathematics, and is commonly referred to as a fraction or a ratio. For example, when dividing twenty (the dividend) by three (the divisor), the quotient is six and two thirds. In this sense, a quotient is the ratio of a dividend to its divisor.

3 The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

Step-by-step explanation:

3 0
3 years ago
Find the measure of the missing angles.<br> 161<br> 9<br> ml<br> 1126°
nadya68 [22]

Answer:

h= 119 (180-61)

g= 61

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Step-by-step explanation:

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Hope this helps! :)

5 0
3 years ago
Read 2 more answers
HELP ASAP FOR BRAINLIEST: The time required to finish a test is normally distributed with a mean of 60 minutes and a standard de
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Answer: 0.81859

Step-by-step explanation:

Using the formula ;

Z = \frac{x-u}{standard deviation}

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From normal table , we have

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8 0
3 years ago
What is the value of x?
True [87]
Red + green = 24; (1)
red + blue  = 10; (2)
blue + green = 20; (3) 

(1) - (2):
green - blue = 14;  (4)

(3) + (4):
2 * green = 34;
green = 17;

Simple substitution gives:
blue = 3;
red = 7;
5 0
3 years ago
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