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3 years ago

Which of the following statements must be true to prove lines m and n are parallel?

Mathematics

1 answer:

nataly862011 [7]3 years ago

6 0

Answer:

option C

Step-by-step explanation:

m∠3 =m∠6 ( Alternative Interior Angles are equal )

But m∠5 & m∠6 are linear pair. So ,

m∠5 + m∠6 = 180°

=> m∠5 + m∠3 = 180° ( because m∠3 =m∠6 )

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3 years ago

60° 18 Solve for x. Round to the nearest tenth.

weeeeeb [17]

Answer:

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Step-by-step explanation:

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3 years ago

What is the Unit Rate for each cyclist?

allsm [11]

Answer:

Cyclist A 12 mi/h

Cyclist B 5 mi/h

Cyclist C 9 mi/h

Cyclist D 10 mi/h

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the relation between the distance and the time represent a direct variation

Let

y -----> the distance in miles

x ----> the time in hours

The unit rate is the same that the slope or constant of proportionality of the linear equation

Cyclist A

we have

The cyclist can ride 24 miles in 2 hours

The unit rate is equal to divide the total distance by the total time

$\frac{24}{2}=12\ \frac{mi}{h}$

Cyclist B

Looking at the table

For x=1 h, y=5 mi

$k=y/x$

substitute

$k=\frac{5}{1}=5\ \frac{mi}{h}$

Cyclist C

we have

$y=9x$

Remember that the unit rate is equal to the slope

$m=9\ \frac{mi}{h}$

Cyclist D

Looking at the graph

For x=1 h, y=10 mi

$k=y/x$

substitute

$k=\frac{10}{1}=10\ \frac{mi}{h}$

6 0

3 years ago

Definitely could use some help. Would also be really appreciated if someone gave a breakdown of how they solved it. Thank you!!!

Misha Larkins [42]

Answer:

x = 10

Step-by-step explanation:

Parallel lines cut the transversals into proportional sections.

Find the ratios of the corresponding parts and solve for x:

(3x - 5)/(28 - 8) = 10/8
(3x - 5)/20 = 5/4
3x - 5 = 20*5/4
3x - 5 = 25
3x = 30
x = 10

3 0

3 years ago

Read 2 more answers

-2m(m + n - 4) + 5(-2m + 2n) + n(m + 4n - 5)

e-lub [12.9K]

I provided the answer in photo

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