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never [62]
3 years ago
8

Jon has 2/3 of an hour to do some training. It takes him 1/6 of an hour to run one trail. How many times can he run the trail

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
Jon will be able to run 2 trails because 1/6 time 2 equals 2/6 you can simplify it to 1/3 and 1/3 + 1/3= 2/3
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In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th
olya-2409 [2.1K]

Answer:

\frac{BE}{EC} =\frac{1}{3}

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

\frac{BK}{CK} =\frac{1}{4}

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE                ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE     ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK  and Δ EBK are similar

so we have

\frac{AD}{BE} =\frac{DK}{BK}

\frac{AD}{BE} =\frac{4}{1}

\frac{BC}{BE}=\frac{4}{1}     ( ABCD is parallelogram so AD=BC)

\frac{BE+EC}{BE}=\frac{4}{1}         ( BC= BE+EC)

\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}

1+\frac{EC}{BE}=4

\frac{EC}{BE}=3  ( subtracting 1 from both side )

\frac{EC}{BE}=\frac{3}{1}

taking reciprocal both side

\frac{BE}{EC} =\frac{1}{3}


8 0
3 years ago
Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have
olga55 [171]

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

<h3>What are fractions?</h3>

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

<h3>How much orange is leftover?</h3>

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

To learn more about subtraction of fractions, please check: brainly.com/question/915789

7 0
2 years ago
PLEASE HELP ME! THANK YOU! :)
QveST [7]
All we need to do is to divide August and September rainfall measurements into two equal halves and then substract 0.6 from one of them and add 0.6 to the other one.

6.2 ÷ 2 = 3.1
3.1 - 0.6 = 2.5
3.1 + 0.6 = 3.7

It's said that in August there was 0.6 inch more rainfall, so the bigger value (3.7 inches) is for August and the smaller value (2.5 inches) is for September.
4 0
3 years ago
Given g(x) = -X – 1, solve for x when g(x) = 3.
Vika [28.1K]

Answer:

-4 = x

Step-by-step explanation:

g(x) = -X – 1

g(x) = 3

3 = -x-1

Add 1 to each side

3+1 = -x-1+1

4 = -x

Multiply by -1

-4 = x

8 0
3 years ago
Read 2 more answers
How many hours is 80 minutes?
Oduvanchick [21]
An hour is 60 minutes so 80-60 = 20 so 1 hour and 20 minutes.
7 0
3 years ago
Read 2 more answers
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