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uranmaximum [27]
3 years ago
9

Is △DBE similar to △ABC ? If so, which postulate or theorem proves these two triangles are similar?

Mathematics
2 answers:
mash [69]3 years ago
6 0
DBE is similar to ABC by the SAS Similarity Theorem
Ipatiy [6.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

In the given figure we have two triangles (One into another).

In triangle BDE,

DB=10\ cm

BE=16\ cm

In triangle ABC,

AB=BD+AD=10+15=25\ cm

BC=CE+EB=24+16=40\ cm

Now, in ΔABC and ΔBDE , we have

\angle{B}=\angle {B}                [Reflexive property]

\dfrac{BD}{AB}=\dfrac{10}{25}=\dfrac{2}{5}=\dfrac{16}{40}=\dfrac{BE}{CE}

By SAS Similarity Theorem ​,

ΔDBE ​ is similar to ​ ΔABC ​

  • SAS Similarity Theorem say that if two sides in a triangle are proportional to two sides in another triangle and the included angle in both are congruent then the two triangles are said to be  similar.

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2 years ago
Which of these is equivalent to 3π/5 rad ? A) 108° B) 150° C) 216° D) 300°
Reptile [31]

To convert from radians to degrees multiply by 180 / π, So:-

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3 0
3 years ago
Can someone please help me with this problem?
yulyashka [42]
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7 0
3 years ago
Write an equation for the cubic polynomial functior
d1i1m1o1n [39]

So, the cubic polynomial function is x^3-10x^2+31x-30=0

No, none of the roots have multiplicity.

Step-by-step explanation:

We need to write an equation for the cubic polynomial function

whose graph has zeroes at 2, 3, and 5.

Zeros mean:

x=2, x=3 and x=5

or

x-2=0, x-3=0 and x-5=0

Multiplying all the factors:

(x-2)(x-3)(x-5)=0\\(x-2)(x(x-5)-3(x-5))=0\\(x-2)(x^2-5x-3x+15)=0\\(x-2)(x^2-8x+15)=0\\x(x^2-8x+15)-2(x^2-8x+15)=0\\x^3-8x^2+15x-2x^2+16x-30=0\\x^3-8x^2-2x^2+15x+16x-30=0\\x^3-10x^2+31x-30=0\\

So, the cubic polynomial function is x^3-10x^2+31x-30=0

No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2

Keywords: Polynomial Function

Learn more about Polynomial Function at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/2568692

#learnwithBrainly

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3 years ago
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