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Assoli18 [71]
3 years ago
8

What is the length of line segment DC

Mathematics
2 answers:
Misha Larkins [42]3 years ago
4 0

The answer is 3 units.


12/4= 3

9/3= 3 units

Y_Kistochka [10]3 years ago
3 0

Answer:

The length of DC is 3 unit.

Step-by-step explanation:

Consider the provided figure.

DE is parallel to CB.

According to basic proportionality theorem:

"If a line is drawn parallel to one side of a triangle to pass the other two sides in separate points, the other two sides are divided into the same ratio."

Therefore

\frac{AE}{EB}=\frac{AD}{DC}

\frac{12}{4}=\frac{9}{x}

3=\frac{9}{x}

x=\frac{9}{3}

x=3

Thus, the length of DC is 3 unit.

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Answer:

What I would do is find how many undamaged toys per 1 toy and then times that by 200.

Step-by-step explanation:

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Use the Pythagorean identity to do the following:
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12y+d=−19y+t solve for y?
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8 0
3 years ago
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Please help me AAAAAA
bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0
2 years ago
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