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4 years ago

Find the sum of the measures of the interior angles of the figure.

Mathematics

1 answer:

Ivahew [28]4 years ago

4 0

Step-by-step explanation:

Given figure is of HEXAGON.

the sum of the measures of the interior angles of a hexagon

$= \frac{(6 - 2) \times 180 \degree}{6} \times 6 \\ \\ = {4 \times 30 \degree} \times 6 \\ \\ = 720 \degree$

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A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12

Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be $x$ ,

Speed uphill is $0.5x$ . We are told than speed uphill is $\frac{2}{3}$ the speed on flat ground. Therefore the speed on level ground will be $\frac{0.5x}{2/3}=0.75x$ .

From this info, we can obtain the actual speed, $v_g$ on level ground as:

$x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h$

speed, distance and time have the relation $s=d/t$ so to obtain time to cover 45miles:

$t=d/s\\=45/90\\=0.5h$

Hence it takes 0.5hrs to cover 45miles on flat ground.

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3 years ago

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SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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3 years ago

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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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3 years ago

F(x)=4x-1 G(x)=x+3 Find f(x)+g(x)

mr_godi [17]

Answer:

Answer is 5x+2

Step-by-step explanation:

$Given \: f(x) = 4x - 1 \: \: and \: \\ g(x) = x + 3 \\ f(x) + g(x) = 4x -1 + x + 3 \\ = 5x + 2$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

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3 years ago

What is the lcm of 6 and 8

Dafna1 [17]

Answer:

Explanation:

Method 1

First, list the multiples of both numbers:

$undefined$

To find the lowest common multiple (LCM) of 6 and 8, first express the numbers as a product of its prime factors.

$\begin{gathered} 6=2\times3 \\ 8=2\times2\times2=2^3 \end{gathered}$

Next, pick the highest powers for each of the numbers:

$\begin{gathered} \text{LCM}=2^3\times3 \\ =8\times3 \\ =24 \end{gathered}$

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1 year ago