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Rina8888 [55]
2 years ago
9

Traingle A' B' C' is the image of triangle ABC under a dilation. What is the scale factor of the dilation? ​

Mathematics
1 answer:
Nataly_w [17]2 years ago
6 0
We need an image to answer the question.
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JK=2X KL=X+2 and JK=5X-10
elixir [45]

JK + KL = JL

JK = 2x, KL = x + 2, JL = 5x - 10

therefore we heve the equation:

2x + (x + 2) = 5x - 10

3x + 2 = 5x - 10 |-2

3x = 5x - 12 |-5x

-2x = -12 |:(-2)

x = 6

JK = 2x → JK = 2(6) = 12

KL = x + 2 → KL = 6 + 2 = 8

JL = 5x - 10 → JL = 5(6) - 10 = 30 - 10 = 20

Check:

JK + KL = JL

12 + 8 = 20 CORRECT :)

5 0
3 years ago
Which of the following graphs represents a function?
4vir4ik [10]

Answer: you didnt post graphs to look at

Step-by-step explanation:

7 0
3 years ago
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John is considering joining an online class music site they charge $15 per month plus 3 dollars per song if John showing how muc
Yuri [45]

Answer:

It will cost 45 dollars

Step-by-step explanation:

8 0
3 years ago
On a hot day, a football team drank an entire 50-gallon cooler of water and half as much again. How much water did they drink?
NemiM [27]

Answer:

The football team drank a total of 75 gallons of water.

Step-by-step explanation:

Half of 50 gallons is 25 gallons. 25 gallons + 50 gallons = 75 gallons.

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3 years ago
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The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10
Rama09 [41]

Answer:

a) E(X) = 6.45

b) E(X^{2} )= 57.25

c) V(X) = 15.648

d) E(3X + 2) = 21.35

e) E(3X^{2} +2) = 173.75

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) E(X) = \sum xP(x)

E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45

b)

E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\  E(X^{2} )= 57.25

c)

V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648

d)

E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35

e)

E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75

f)

V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832

g)

E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45

h)

V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648

6 0
3 years ago
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