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worty [1.4K]
3 years ago
9

Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9?

Mathematics
2 answers:
nordsb [41]3 years ago
6 0

Answer:

A

Step-by-step explanation:

DE corrsponding to the LN, EF corrsponding to the MN, and LN:DE=MN:FE=3

and angel N is corrsponding to the angle E,so it 's SAS.

In-s [12.5K]3 years ago
3 0

Answer:

Yes, by the SAS Similarity Postulate

Step-by-step explanation:

Here, DEF and LMN are two triangles,

In which,

LN = 4 unit,

MN = 3 unit,

DE = 12 unit,

FE = 9 unit,

\frac{DE}{LN}=\frac{12}{4}=3

\frac{FE}{MN}=\frac{9}{3}=3

\implies \frac{DE}{LN}=\frac{FE}{MN}

Also, m∠DEF = m∠LMN = 90° ( given )

By the SAS similarity postulate ( two corresponding sides are in same proportion and corresponding included angles are equal )

\triangle DE F\sim \triangle LMN

FIRST option is correct.

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2 years ago
Give the sum in simplest form: a/c + b/c = _____
djverab [1.8K]

Answer:

(a+b)/c

Step-by-step explanation:

a/c+b/c

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tensa zangetsu [6.8K]
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
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MODELING WITH MATHEMATICS A farmer plants a garden that contains corn and pumpkins. The total area (in square
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Answer:

The equation in standard form that models area of pumpkins is:

A_p = A_G - A_c

and the area is: x^2+8x+2

Step-by-step explanation:

Given that the garden has corn and pumpkins

The expressions are:

Total area of garden: A_G = 2x^2+5x+4

Area of Corn: A_c = x^2-3x+2

Area of Pumpkins: A_p = ?

The sum of areas of corn and pumpkins is the total area of the garden.

It can be expressed mathematically as:

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If we have to find the area of pumpkins,

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Putting the values

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The equation in standard form that models area of pumpkins is:

A_p = A_G - A_c

and the area is: x^2+8x+2

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