In the diagram shown, points B and D lie on sides AC and AE such that BD is parallel to CE . If 10AB, 16BC , and 13AD then find the length of AE ?

In The Diagram Shown, Points B And D Lie On Sides AC And AE Such That BD Is Parallel To CE . If 10AB,

Answers

Answer 1

Answer:

[tex] \displaystyle \overline{AE} = 33.8[/tex]

Step-by-step explanation:

By triangle similarity theorem we acquire:

[tex] \displaystyle \frac{10}{16 + 10} = \frac{13}{ AE } [/tex]

since AE=AD+ED substitute:

[tex] \displaystyle \frac{10}{16 + 10} = \frac{13}{ 13 + ED} [/tex]

simplify addition:

[tex] \displaystyle \frac{10}{26} = \frac{13}{ 13 + ED} [/tex]

cross multiplication:

[tex] \displaystyle 10(13 + ED) = 26 \times 13[/tex]

distribute:

[tex] \displaystyle 13 0+ 10ED = 26 \times 13[/tex]

simplify multiplication:

[tex] \displaystyle 13 0+ 10ED =338[/tex]

cancel 130 from both sides:

[tex] \displaystyle10ED =208[/tex]

divide both sides by 10:

[tex] \displaystyle \: ED =20.8[/tex]

so, the measure of side AE=20.8+13=33.8


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Answer:

12x8x10=960

Step-by-step explanation:

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Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

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m = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2

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Step-by-step explanation:

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The sum of the interior angles of the 10-sided polygon on the left is °

Answers

Answer:

1440 it is right because

Step-by-step explanation:

Decagon is a 10-sided polygon.

Formula to find the sum of interior angles of a n-sided polygon is  

=  (n - 2) ⋅ 180°

By using the formula,  sum of the interior angles of the given decagon (10-sided polygon) is  

=  (10 - 2) ⋅ 180°

=  8 ⋅ 180°

=  1440°

Answer:

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Step-by-step explanation:

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Answers

B. The square root of 180 and 3 the square root of 20 are equal

The radicals [tex]\sqrt{180}[/tex]  and [tex]3\sqrt{20}[/tex] are equivalent.

What is radical?

A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction.

Which option shows equivalent radical?

The value of [tex]\sqrt{54}[/tex] is [tex]3\sqrt{6}[/tex] which is not equivalent to [tex]9\sqrt{6}[/tex] .

The value of [tex]\sqrt{180}[/tex] is [tex]6\sqrt{5}[/tex].

The value of [tex]3\sqrt{20}[/tex]  is [tex]6\sqrt{5}[/tex].

The radicals [tex]\sqrt{180}[/tex]  and [tex]3\sqrt{20}[/tex] are equivalent.

Therefore, the correct option is b.

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

y=2x-3 is the answer.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Answers

Answer:

Step-by-step explanation:

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An equation contains one or more terms with variables connected by an equal sign.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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There man i hope you'll understand ✌

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Answers

Answer:

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Step-by-step explanation:

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Answers

Vertex: (-2,-3)
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