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2 years ago

In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively).

Mathematics

1 answer:

ivanzaharov [21]2 years ago

5 0

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

DB +AD = AB

DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

DE = 6 dm

_____

It can be helpful to draw and label a figure.

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Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc whe

Artemon [7]

Answer:

$L=2l$ where $l,L$ denote arc lengths of two circles

Step-by-step explanation:

Let $l,L$ denote arc lengths of two circles, $r,R$ denote corresponding radii and

$\alpha _1\,,\alpha _2$ denote the corresponding central angles.

So,

$l=r\alpha _1$ and $L=R\alpha _2$

This implies $\alpha _1=\frac{l}{r}$ and $\alpha _2=\frac{L}{R}$

As each circle has an arc where the measures of the corresponding central angles are the same, $\alpha _1=\alpha _2$

$\frac{l}{r}=\frac{L}{R}$

As radius of one circle is twice the radius of the other circle,

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$\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l$

7 0

2 years ago

anthony bought an 8 foot board.He cut off 3/4 of the board to build a shelf,and gave 1/3 of the rest to his brother for an art p

e-lub [12.9K]

Convert your feet to inches.
So 8 times by 12 = 96 inches
if you have 3/4 of the board used.
3/4= .75
if you were to times 96 by .75 = 72 inches.
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now do 1/3= .33
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8 inches is how long you would give to Anthony's brother.

7 0

3 years ago

Read 2 more answers

Freddy has a shelf that is 72/5 inches wide. How many catalogs can freddy arrange on the shelf if each catalog is 4/5 of an inch

Leni [432]

Hey!

72/5 ÷ 4/5

All you have to do is divide 72 by 4 because the denominator is the same.

72 ÷ 4 = 18

Answer ⇒ 18 catalogs

Hope this helps! :)

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3 years ago

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A 5 divided by 48 lottery involves choosing 5 of the numbers from 1 through 48 and a 4 divided by 35 lottery involves choosing 4

Anika [276]

Answer:

4/35 lottery is easier to win.

Step-by-step explanation:

For the 5/48 lottery, the winning probability is $\frac{5}{48}$ ≈0.1042

For the 4/35 lottery, the winning probability is $\frac{4}{35}$ ≈ 0.1143

Since $\frac{4}{35}$ > $\frac{5}{48}$ , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.

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grandymaker [24]

5/12lb of dog food in each container.

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2 years ago