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3 years ago

A train traveled 210 mi in 3.5 h to its first stop. It then continued on traveling another 130 mi in 2.5 h.

Mathematics

2 answers:

11111nata11111 [884]3 years ago

7 0

Answer:

56.7 mi/h

Step-by-step explanation:

The formula for average speed is:

Average Speed = $\frac{TotalDistance}{TotalTime}$

Thus we have:

Average Speed = $\frac{210+130}{3.5+2.5}\\=\frac{340}{6}\\=56.66$ mph

Rounding to the nearest tenth, we have

Average Speed = 56.7 mi/h

g100num [7]3 years ago

6 0

Have a look at this^^

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Select the postulate or theorem that you can use to conclude that the triangles are similar.

insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

$\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\implies \frac{QN}{MN} = \frac{NR}{NP}$

Also,

$\angle QNR\cong \angle MNP$ (Reflexive)

Thus, By SAS similarity postulate,

$\triangle QNR\sim\triangle MNP$

⇒ Option first is correct.

8 0

3 years ago

HELP NEEDED, GIVING BRAINLIEST!

Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

$A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)$

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

$\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)$

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

#LearnwithBrainly

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3 years ago

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egoroff_w [7]

Answer:

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Step-by-step explanation:

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Answer:

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Alexandra [31]

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