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monitta
3 years ago
7

If LMN is dilated by a scale factor of 0.5, which of the following statements is not true? A. The sides of LMN are congruent to

the sides of L'M'N'. B. L'M'N' is smaller than LMN. C. LMN is similar to L'M'N'. D. The angles of LMN are congruent to the angles of L'M'N'.
Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

The correct option is A.

Step-by-step explanation:

Dilation represents the enlargement and compression of a figure. Whether it is an enlargement or compression, It totally depends on the scale factor.

If the absolute value of scale factor is more than 1, then it represents the enlargement and if the absolute value of scale factor is lies between 0 to 1, then it represents the compression.

Image and preimage are similar figures. It means the corresponding angles are congruent or corresponding sides are proportional.

It is given that LMN is dilated by a scale factor of 0.5.

LMN\sim L'M'N'

Since scale factor is lies between 0 to 1, therefore it shows the compression.

Therefore sides of L'M'N' is smaller than LMN.

Since corresponding angles of similar figure are congruent.

\angle LMN \cong \angle L'M'N'

So, options B, C and D represent the correct statements. Only option A represents a false statement because the sides of similar figure are proportional not congruent.

Therefore option A is correct.

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Shtirlitz [24]

Answer:

Step 2 shows Emily's first mistake.

Step-by-step explanation:

3(2) = 6

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3 years ago
If Herschel walker can sprint 40 meters in 4.35 seconds, how many miles per hour is he running? Round to the nearest tenth
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Answer:

B) 20.6 mi/hr

Step-by-step explanation:

To solve this, we need to first convert 40 meters to mile, then convert 4.35 seconds to hour, then solve by proportion.

converting 40 meters to mile;

1 mile = 1609.344 meter

x       = 40 meters

1609.344x = 40

x = 40/1609.344

x =0.02485 mile

Then converting seconds to hour

1 hour = 3600 seconds

 y      = 4.35 seconds

3600 y = 4.35

y=4.35/3600

y =0.00121  hour

Using proportion to solve the question

Let n be the number he runs miles per hour

0.02485 mile = 0.00121  hour

  n                   = 1    hour

cross-multiply

0.00121  n =   0.02485

Divide both-side by 0.00121

0.00121  n/0.00121  =   0.02485/0.00121

n ≈ 20.6 mile/hour

Therefore, he is running 20.6 mi/hr

5 0
3 years ago
Someone pls help will give brainliest
liberstina [14]
3. 60 divide by 360 times pi times (8)2=33.51 squared inch

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3 years ago
David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below.
Vikentia [17]

Answer:

Given Polynomial:

80b^4-32b^2c^3+48b^4c

Factors of Coefficient of terms

80 = 5 × 16

32 = 2 × 16

48 = 3 × 16

Common factor of the coefficient of all term is 16.

Each term contain variable. So the Minimum power of b is common from all terms.

Common from all variable part comes b².

So, Common factor of the polynomial = 16b²

⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )

⇒ 16b² ( 5b² - 2c³ + 3b²c )

Therefore, Statements that are true about David's word are:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property

8 0
3 years ago
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Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy
Artist 52 [7]

The rate at which Sean drank the slushy is 5 milliliters  per second.

The time it would take to drink all the slushy is 55 seconds.

<h3>How fast did Sean drink?</h3>

In order to determine the speed at which the slushy was drank, divide the slushy drank in 13 seconds by 13 seconds.

Speed = slushy drank in 13 seconds / time

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Time it would take to drink all the slushy =total milliliters of the slushy / speed

275 / 5 = 55 seconds.

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

3 0
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