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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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Anuta_ua [19.1K]
ANSWER

The value of a and b are:

a=3,b=4

EXPLANATION

The expression given to us is

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We square both sides of the equation to obtain

648= {2}^{a} \times {3}^{b}

We now find the prime factorization of 648 to obtain,

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We now compare the exponents on both sides of the equation to obtain,

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Therefore the correct option is C
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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