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3 years ago

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Mathematics

2 answers:

astraxan [27]3 years ago

5 0

Answer:

The polygons are similar

ΔRST ≈ ΔUVW; $\frac{5}{6}$

Step-by-step explanation:

Data:

The triangles have similar angles at U and R.

Therefore, the triangles must have the similar first letter naming.

Starting the triangle at U, the triangle will be named: UVW.

The second triangle will be named starting at R: RST

The ratio of the areas is the ratio of the corresponding sides. Therefore, taking the ratio of the bases:

RST : UVW will be : $\frac{15}{18} = \frac{5}{6}$

larisa [96]3 years ago

3 0

Yes. The two triangles are similar in that.

ΔRST ≡ ΔUVW.

The scale factor of the similarity is,

Scale factor = RS/UV
= 10/12
=5/6

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2 years ago

Read 2 more answers

5(x+2/3)=3x-2/3The answer is-2.Please show work so I can understand how to solve.

kramer

5(x + 2/3) = 3x - 2/3.....distribute the 5 through the parenthesis
5x + 10/3 = 3x - 2/3 ....subtract 3x from both sides
5x - 3x + 10/3 = 3x - 3x - 2/3...combine like terms
2x + 10/3 = - 2/3 ....subtract 10/3 from both sides
2x + 10/3 - 10/3 = -2/3 - 10/3...simplify
2x = - 12/3....reduce
2x = - 4....divide both sides by 2
x = -4/2....reduces to -2

or this way...
5(x + 2/3) = 3x - 2/3.....distribute
5x + 10/3 = 3x - 2/3....multiply by lowest common denominator of 3
15x + 10 = 9x - 2 ....subtract 9x from both sides
15x - 9x + 10 = -2 ...subtract 10 from both sides
6x + 10 - 10 = -2 - 10...simplify
6x = -12.....divide both sides by 6
x = -12/6 reduces to -2

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