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Molodets [167]
3 years ago
15

Please select the best answer from the choices provided

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

The correct answer is option B. 8,16, 20

Step-by-step explanation:

Its given that,ΔJKL ~ ΔPQR, with a scale factor of 3 : 4

The sides of ΔJKL are, 6,12,15

Let 'x', 'y', and 'z' be the sides of ΔPQR

We know that if two triangles are similar, then the ratio of corresponding sides are in same raio.

<u>To find x</u>

6/x = 3/4

x = 8

<u>To find y</u>

12/y = 3/4

y = 16

<u>To find z</u>

15/z = 3/4

z = 20

Therefore the sides of ΔPQR are 8,16 and 20

Option B. 8,16,20 is the correct answer

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Evaluate 6+ the sq root of 14+x minus - the sq root of 9x when x=2
romanna [79]
Hello 
let : f(x) = 6 + √(14+x) - <span>√(9x)
f(2) = </span>6 + √(14+2) - √(9×2)
f(2) = 6 + √(16)-√(18) 
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Step-by-step explanation:

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grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

<em>A segment XD is drawn in rectangle QUAD as shown  below. </em>

<em>What are the measures of ∠XDQ and ∠UXD ? </em>

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

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= 41°

=> <em>∠UXD = </em>180° - ∠DXA  (Because UA is a straight line)

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Step-by-step explanation:

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