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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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3 years ago

Read 2 more answers

Jack scored a mean of 15 points per game in his first 3 basketball games. In his 4th game, he scored 27 points. What is his mean

timurjin [86]

His mean score for the first 4 games will be 18 points.

Explanation

In the first 3 games, the mean of the scores is 15 points . Mean is the simple average of some numbers.

So, the total score in first 3 games = $(15*3)= 45$ points

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3 years ago

There are 200 pieces of gum. The first student gets one-half and each student gets half of what's left each time. How many piece

grin007 [14]

Answer: the 7th person will get 3.125 pieces of gum.

Step-by-step explanation:

The first student gets one-half and each student gets half of what's left each time. This means that number of pieces of gum that each student gets is reducing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 200

r = 0.5

n = 7

The 7th term, T7 is

T7 = 200 × 0.5^(7 - 1)

T7 = 200 × 0.5^6

T7 = 3.125

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3 years ago