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2 years ago

Triangle LMN is similar to triangle PQR. Which of the following sets of side lengths could be those of triangle LMN.

Mathematics

2 answers:

Svetllana [295]2 years ago

6 0

The answer is B

9in, 12in, 15in
Because similar means that their components are factors of each other.

Neko [114]2 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

The corresponding sides of similar triangles are proportional.

It is given that triangle LMN is similar to triangle PQR. It means

$\frac{LM}{PQ}=\frac{MN}{QR}=\frac{LN}{PR}$

The length of sides of triangle PQR: 3 cm, 4 cm, 5 cm.

$\frac{8}{3}\neq \frac{15}{4}$

Option A is incorrect.

$\frac{9}{3}=\frac{12}{4}=\frac{15}{5}=3$

Therefore the correct option is B.

$\frac{6}{3}\neq \frac{7}{4}$

Option C is incorrect.

$\frac{2}{3}\neq \frac{3}{4}$

Option D is incorrect.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

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3 years ago

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adelina 88 [10]

Answer:

I hope this helps

Step-by-step explanation:

180 Degree Rotation

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3 years ago

Read 2 more answers

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bulgar [2K]

Answer:

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Step-by-step explanation:

we know that

The equation in point slope form is equal to

$y-y1=m(x-x1)$

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

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The ordered pair is

$(x1,y1)=(4,69)$

substitute

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Convert to slope intercept form

$y-69=13x-52$

$y=13x-52+69$

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The y-intercept is the signup fee (value of y when the value of x is equal to zero)

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

1. x = 0, 4, -9

2. x = 3, 3, -5

3. 2x^3 - 9x^2 + 7x + 6

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5. 2x^3+10x^2+12x

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Factor what's left in parentheses:

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Step-by-step explanation:

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3 years ago