All categories

3 years ago

(easy) If ΔEFG ~ ΔLMN with a ratio of 3:1, which of the following is true?

Mathematics

2 answers:

alexandr402 [8]3 years ago

7 0

Answer:

segment EG over segment LN equals segment FG over segment MN

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

The corresponding sides are

EF and LM

EG and LN

FG and MN

The corresponding angles are

∠E≅∠L

∠F≅∠M

∠G≅∠N

therefore

EF/LM=EG/LN=FG/MN=3/1

Alla [95]3 years ago

5 0

Answer:

C: Segment EG over segment LN equals segment FG over MN.

Step-by-step explanation:

We are given that $\triangle EFG \sim\traingle LMN$ with ratio 3:1

We have to find the true statement about two similar triangles in given options

When two triangle are similar

Then ratios of all sides of one triangle to its corresponding all sides of another triangle are equal.

Therefore, Corresponding side of EF is LM

Corresponding side of FG is MN

Corresponding side of EG is LN

Ratio

$\frac{EF}{LM}=\frac{FG}{MN}=\frac{EG}{LN}=\frac{3}{1}$

Hence, segment FG over segment MN equals to segment EG over segment LN.

Therefore, option C is true.

Answer : C: Segment EG over segment LN equals segment FG over MN.

You might be interested in

A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U

balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0

2 years ago

it takes 1 hour longer to fly to st paul at 200 mi/h than it does to return at 250 mi/h. How far away is st.paul

gtnhenbr [62]

Answer:

1000 miles

Step-by-step explanation:

We will use the distance equation to find the answer to this problem.

D = RT

Where

D is distance

R is rate

T is time

At 250 miles per hour, suppose it takes t hours to go to st. paul. Thus, we can write:

D = 250t

Now, at 200 mi per hour, it takes 1 hour longer, so the time is "t + 1", so we can write:

D = 200(t+1)

We can equate both and see:

$250t=200(t+1)\\250t=200t+200$

Now, we solve for t first:

$250t=200t+200\\250t-200t=200\\50t=200\\t=\frac{200}{50}\\t=4$

We want the distance of St. Paul, so we can use any equation. lets use the 1st equation:

D = 250t

we know t = 4

D = 250 * 4 = 1000 miles

Distance to St. Paul is 1000 miles

7 0

3 years ago

What is 5(6.2+z)z=3.8

eduard

if z = 3.8

then

5(6.2 + 3.8)

5(10)

hope this helps

6 0

3 years ago

What are the factors of 6x + 24?

omeli [17]

$6x+24=(6)(x)+(6)(4)=(6)[(x)+(4)]=\boxed{6(x+4)}$

8 0

2 years ago

Read 2 more answers

Which algebraic expression is equivalent to the expression below?<br><br> 3(5x + 7)-6(4- 2x)

frutty [35]

3(5x+7)-6(4-2x) - given

15x+21-24+12x - distributive property

27x-3 - combine like terms

6 0

1 year ago