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3 years ago

2. Determine if the two quadrilaterals are similar, if they are, state the scale factor.

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

Yes, they are similar. The scale factor is 5/3

Step-by-step explanation:

The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK

The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR

If the two quadrilaterals are similar, the following proportion must be satisfied:

JM = k*QP

ML = k*PS

KJ = k*RQ

LK = k*SR

where k is the scale factor. Solving for k and replacing with lengths:

k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3

From the figure, we can also see that:

∠M ≅ ∠P

∠L ≅ ∠S

∠R ≅ ∠K

∠Q ≅ ∠J

Therefore, the two quadrilaterals are similar.

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Ivan

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3 years ago

The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality

Goryan [66]

Answer: (a) P(no A) = 0.935

(b) P(A and B and C) = 0.0005

(d) P(A or B) = 0.31

Step-by-step explanation: Pareto Chart demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = $1-\frac{68}{1052}$

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = $(\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})$

P(A and B and C) = $\frac{5736888}{1164252608}$

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = $\frac{269}{1052} +\frac{130}{1052}$

P(D or F) = $\frac{399}{1052}$

P(D or F) = 0.379

d) Probability of an A or B is also the sum of probabilities of an A and of an B:

P(A or B) = $\frac{68}{1052} +\frac{258}{1052}$

P(A or B) = $\frac{326}{1052}$

P(A or B) = 0.31

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3 years ago

3 + x + 1 = 2 Thank you :)

Lina20 [59]

Answer:

x = -2

Step-by-step explanation:

Please mark Brainliest when able, for showing work.

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3 years ago

What is the inequality to x+3>8

olga2289 [7]

Answer:

x>5

Step-by-step explanation:

Subtract 3 from both sides.

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3 years ago

What is the radius of of a circle with a circumference of 36π cm?

Readme [11.4K]

I hope this helps you

Circumference=2pi.r

36pi.=2pi.r

r=36/2

r=18

5 0

3 years ago

Read 2 more answers