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jenyasd209 [6]
3 years ago
13

How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line

containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0
This is the concept of transformation, ΔHJK=ΔLMN, from the diagram:
∠H=∠L
∠K=∠N
∠M=∠J
In order to map ΔHJK to ΔLMN, we need to translate K to N and rotate about K until HK lies on the same line containing LN.
Neporo4naja [7]3 years ago
4 0

Answer:

The is C. Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

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What are the first 5 terms of 30-n^2
sleet_krkn [62]

Answer:

29, 26, 21, 14, 5

Step-by-step explanation:

To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the n th term formula.

30 - 1² = 30 - 1 = 29

30 - 2² = 30 - 4 = 26

30 - 3² = 30 - 9 = 21

30 - 4² = 30 - 16 = 14

30 - 5² = 30 - 25 = 5

The first 5 terms are 29, 26, 21, 14, 5

6 0
3 years ago
EF is the median of trapezoid ABCD.
BARSIC [14]

Answer:

Part A) x = 11

B) length of BC =  x + 12 =  x + 12 = 11 + 12 =23

length of EF =  4x - 18 =  4(11) - 18 = 44 - 18 =26

length of AD =  3x - 18 =  3(11) - 4 = 33 - 4 =29

Step-by-step explanation:

Median of trapezium is m=\frac{base1+base2}{2}

In provided figure, base1 is x+12 and base2 is 3x-4

A) solve for value of x

calculate the median m=\frac{base1+base2}{2}

4x-18=\frac{x+12+3x-4}{2}

4x-18=\frac{4x+8}{2}

4x-18=2x+4

2x-18=4

2x = 18 + 4

2x = 22

x = 11

B) To find the length of BC, AD and EF , put the value of x in equation of lines

length of BC =  x + 12 =  x + 12 = 11 + 12 =23

length of EF =  4x - 18 =  4(11) - 18 = 44 - 18 =26

length of AD =  3x - 4 =  3(11) - 4 = 33 - 4 =29

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3 years ago
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Lowest denominator 1/15 9/5 3/8
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<span>LCD(<span>115</span>, <span>95</span>, <span>38</span>) = LCM(15, 5, 8) = 23×3×5 = 120</span>
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</span></span>
3 0
3 years ago
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Answer: x = 1

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