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SCORPION-xisa [38]
3 years ago
8

Ethan is proving that the slope between any two points on a straight line is the same. He has already proved that triangles 1 an

d 2 are similar.
Drag statements and reasons to complete the proof.
Mathematics
2 answers:
STatiana [176]3 years ago
8 0

Answer:

Slope from P to Q = F/E ------ Definition of a Slope

Slope from Q to R = F1/E1 ------ Definition of a Slope

F1/ E1 = F/E ---------------- Triangle 1 is similar to triangle 2

Step-by-step explanation:

ella [17]3 years ago
3 0

Slope of a line = (y₂ - y₁)/(x₂ - x₁)

K'  = y₂ - y₁  ( for E & F)

L' = x₂ - x₁    ( for E & F)

=> Slope from E to F  = K'/L'

Two triangles are similar

=> K/K'  = L/L'  = DE/EF

=> K/K'  = L/L'

=> K/L = K'/L'

=>  K'/L' = K/L

Triangles are similar

K - L  = K' - L'

Sufficient information is not given but from picture it is clear that slope of line = 1

=> K = L    & K'  = L'

hence K - L = 0  & K' - L' = 0

=> K - L  = K' - L'

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Step-by-step explanation:

6 0
3 years ago
2/3 -4x + 7/2 = -9x + 5/6
kirza4 [7]

Answer:

Step-by-steplanation:

Add: 1

2

+ 2

5

= 1 · 5

2 · 5

+ 2 · 2

5 · 2

= 5

10

+ 4

10

= 5 + 4

10

= 9

10

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one half plus two fifths = nine tenths.

Conversion a mixed number 6 2

7

to a improper fraction: 6 2/7 = 6 2

7

= 6 · 7 + 2

7

= 42 + 2

7

= 44

7

To find new numerator:

a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7

7

= 42

7

b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44

c) Write previous answer (new numerator 44) over the denominator 7.

Six and two sevenths is forty-four sevenths

Add: the result of step No. 1 + 44

7

= 9

10

+ 44

7

= 9 · 7

10 · 7

+ 44 · 10

7 · 10

= 63

70

+ 440

70

= 63 + 440

70

= 503

70

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - nine tenths plus forty-four sevenths = five hundred three seventieths.

3 0
3 years ago
8) 4.8.12.5.10. -17.
ASHA 777 [7]

Answer:

1) 1     3     7     13    21     31     43  ( +2, +4, +6, +8, +10 и т.д.)

 

2) 255   127   63   31   15   7   3   (число -1, а затем полученное число :2)

 

3)92   46   44   22   20   10   8   4   (  :2, -2, :2, -2, :2, -2 и т.д.)                                   

 

4) 1   2   4   7   28   33    198 (+1, *2, +3, *4, +5, *6, +7, *8 и т.д)

5)3   7   6   7   9   7   12   7   15   7  (первое, третье, пятое и т.д. числа +3; между ними 7)

 

6) 6   8   11   13   16   18   21   23  (+2, +3, +2, +3 и т.д.)

 

7)1   4   8   13   19   26   34  43  (+3, +4, +5, +6, +7, +8 и т.д.)

 

8)128   64   32   16   8   4   2  (:2, :2, :2, :2 и т.д.)

9)3   4   8   17   33   58   94 (+1, +4, +9, +16, +25, +36 и т.д. (т.е. то, что прибавляется-увеличивается на                         +3, +5,  +7,  +9,   +11, и т.д.))

 

10)47   39   32   26   21   17   14   12  (-8, -7, -6, -5, -4, -3 и т.д.)

 

11)256   37   64   31   16   25   4   19  (первое, третье, пятое и т.д. числа :4; а второе, четвертое, шестое и т.д. числа -6)

 

12)5   9   13   17   21   25   29  (+4, +4, +4, +4, +4 и т.д.)

 

13)1   4   3   6   5   8   7   10  (+3, -1, +3, -1, +3, -1 и т.д.)

 

14)2   4   6   12   14   28   30   60   (*2, +2, *2, +2, *2, +2 и т.д.)

 

15)11   12   10   13   9   14   8   15  (+1, -2, +3, -4, +5, -6, +7, -8 и т.д.)

Step-by-step explanation:

8 0
3 years ago
Help please !<br><br> I’ll mark brainliest:)
sashaice [31]
<span>The answer is $4,955.30</span>
7 0
3 years ago
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