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harina [27]
3 years ago
13

Triangle DEF is similar to triangle GHK. What is the value of DF if GK is 3.4 inches, EF is 2.25 inches, and HK is 9 inches?

Mathematics
1 answer:
kap26 [50]3 years ago
4 0
DF=3.4 because it's congruent to GK
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3 0
3 years ago
PLEASE HELP ASAP 15 BRAINLY POINTS
lana66690 [7]

Answers

1) 1

2) 11

3) 4

4) D) Yes, the constant of variation is 3

Explanation

Q1

The slope of a line is given by

Slope = (change in y)/(change in x)

= (0 - -2)/(-4 - -6)

= 2/2

= 1

Q2

Slope = Δy/Δx

= (8 - -3)/(2 - 1)

= 11/1

= 11

Q3

Y varies directly as X. This is written as,

Y ∞ X

Put and equal sign then introduce the constant of proportionality, K.

Y = KX

K = Y/X

K = 6/18 = 1/3

∴ Y = (1/3)X

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Y = 4

Q4

32Y = 96X

Dividing both sides by 32,

Y = 96/32 X

Y = 3X

3 been the constant, Y varies directly as X.

So, the equation 32y = 96x is a direct variation.

Constant of variation = 3

5 0
3 years ago
Read 2 more answers
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