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babymother [125]
3 years ago
10

superman can fly at a rate of 60 miles per 4 minutes. At this rate, how long will it take superman to go from metropolis to goth

am city which is a total of 340 miles
Mathematics
1 answer:
Jlenok [28]3 years ago
3 0
This is a proportion problem involving cross multiplication.
\frac{60}{4}  =  \frac{340}{x}

Now first multiply 340 x 4 which equals 1,360
Now divide that number by 60 to get your X value
Answer is 22.67 minutes or 23 if it needs to be rounded (that depends on your teacher).

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Someone please help? 25 points!!!!​
sergij07 [2.7K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Find the value of x.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

Given,

  • DE || AB
  • AD = 2x
  • CD = x + 3
  • BE = 2x - 1
  • CE = x

Value of x (CE) = ?

__________________

We can solve this question using the Basic<u> Proportionality Theorem (BPT).</u> According to BPT, <em>if a line is drawn </em><em>parallel </em><em>(</em><em>|</em><em>|</em><em>)</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side of a triangle to intersect the other </em><em>2</em><em> </em><em>sides </em><em>in </em><em>2</em><em> distinct points then the other </em><em>2</em><em> </em><em>sides </em><em>will </em><em>be</em><em> divided in the same ratio. </em>

__________________

So in this triangle,

\tt\frac{CD}{AD} =  \frac{CE}{BE} \\

Then,

\tt \frac{x + 3}{2x}  =  \frac{x}{2x - 1}  \\  \\  \sf \: Using \: cross \: multiplication.... \\  \\  \tt \: x + 3(2x - 1) = x(2x) \\   \tt \: x(2x - 1) + 3(2x - 1) =  {2x}^{2}  \\   \tt \:  {2x}^{2}  - x + 6x - 3 =  {2x}^{2}  \\  \\ \sf Cancel \: out \: 2 {x}^{2}  \: from \: both \: the \: sides \\  \\  \tt \:  - x + 6x - 3 = 0 \\  \tt \:    - x + 6x = 3 \\  \tt \: 5x = 3 \\     \large\boxed{\boxed{\bf \: x =  \frac{3}{5} }}

__________________

  • The value of x will be <u>3/5 (option b.)</u>
6 0
3 years ago
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Explain how to do any form of dividing radicals
exis [7]

Answer:

the diagram represents the process of enlarging a rectangle using a scale factor of 3. the width of the original rectangle must be:

Step-by-step explanation:

6 0
2 years ago
(8x-20) (5x+37) apply angle theorem find x
Studentka2010 [4]
Value of x = 19

(8x - 20) = (5x + 37)
3x = 57
x = 19
7 0
3 years ago
Define the word expression to me. Use proper English and complete sentences.
Fudgin [204]

Answer:

a finite combination of symbols that is well-formed according to rules that depend on the context

Step-by-step explanation:

why do i feel like you have the same math teacher as me he asked me the same question on google classroom anyways hope this helps

4 0
4 years ago
What is the quotient of 2 ÷ 2/3?​
Neko [114]

Answer:

The answer is 3! I believe.

Step-by-step explanation:

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