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vodka [1.7K]
3 years ago
8

Determine if the triangles, VWZ and VXY, are similar. If so, identify the similarity criterion.

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

The triangles Δ VWZ and Δ VXY are similar by AA criteria.

Step-by-step explanation:

See the attached diagram.

Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.

Therefore, \frac{VZ}{ZY} = \frac{VW}{WX} = \frac{2}{1} = 2

So, line WZ divides the lines VY and VX in the same ratio 2 : 1.

So, Line WZ ║ Line XY

Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}

Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}

Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)

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The length of a rectangle is 9” greater than the width. The area is 36”2. Find the dimensions
Ymorist [56]

Answer:

Step-by-step explanation:

L = W+9

area = LW = 36

(W+9)W = 36

W²+9W-36 = 0

W = -12, 3

-12 is an extraneous solution, so W = 3 inches

L = W+9 = 12 inches

7 0
3 years ago
What is the distance between points (3.3) and Wc-2, -3)<br> Round to the nearest tenth if necessary.
Ivahew [28]

Answer:

7.81 u

Step-by-step explanation:

<u>Given :- </u>

  • Two points (3,3) and (-2,-3) is given to us.

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

:\implies D = √{(x2-x1)² + (y2-y1)²}

:\implies D =√[ (3+2)² +(-3-3)²]

:\implies D =√[ 5² +6²]

:\implies D =√[ 25 +36]

:\implies D = 61

:\implies D = 7.81

<h3>Hence the distance between the two points is 7.81 units .</h3>
8 0
3 years ago
X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence. Find the constant difference between terms. Give a formul
Anna007 [38]

Common difference between the terms is 36

Formula for nth term is a_n=36n-11

27th term is 961

Given :

X, 2X + 11 and 4X - 3 are consecutive terms of an arithmetic sequence

To Find:

We need to find the constant difference between the given terms and also find the nth term . Also find the 27th term .

To find the difference , we need to take the difference of consecutive terms

2x+11-x=x+11\\\\4x-3=(2x+11)= 4x-3-2x-11=2x-14

Both the common differences are equal

x+11=2x-14\\Solve \; for \; x\\Subtract \; x\\11=x-14\\Add \; 14\\x=25

First term is 25

second term is 2(25)+11=61

Difference is 61-25=26

Common difference = 36

Use nth term formula is

a_n=a+(n-1)d\\a=25 (first term )\\d=36\\a_n=25+(n-1)(36)\\a_n=25+36n-36\\a_n=36n-11

To find 27th term , replace n with 27

a_{27}=36(27)-11=961

Learn more :  brainly.in/question/41142594

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Answer:

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Step-by-step explanation:

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