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aniked [119]
2 years ago
15

If a translation maps zl onto ZK, which of the following statements is true? G HS 1 K НІ is twice the measure of 2JK: GH is twic

e the measure of 2GJ: Triangles AGHI and AGJK are not similar. OCH = J​

Mathematics
1 answer:
murzikaleks [220]2 years ago
6 0

9514 1404 393

Answer:

  (d) ∠H ≅ ∠J

Step-by-step explanation:

We already know that ∠G is congruent to itself. If we show (by translation or other means) that ∠I ≅ ∠K, then we know that ΔGHI ~ ΔGJK. The third angle in each triangle will be congruent, too.

  ∠H ≅ ∠J

_____

The problem is concerned with angles, so the first two answer choices are irrelevant. If two angles are shown congruent, the triangles are congruent by AA similarity, so the third answer choice is incorrect.

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The loudest sound, measured in decibels, is calculated using the formula L=10 log, where L is the loudness, and I is the intensi
12345 [234]

The intensity of a fire alarm that measures 125 dB loud is 268,337.29

<h3>Formula and expressions</h3>

Given the expression L=10 logI

where;

  • L is the loudness
  • I is the intensity of the sound.

Given the following parameters

L = 125dB

Substitute the given parameters into the following

L=10 logI

125 = 10logI

logI = 125/10

logI = 12.5

I = e^12.5

I = 268,337.29

Hence the intensity of a fire alarm that measures 125 dB loud is 268,337.29

Learn more on subject of formula here: brainly.com/question/657646

7 0
2 years ago
The diagonals of a kite have lengths of x inches and 18x inches. The area of the kite is given by A=9x^2. Identify the equation(
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Answer:

Step-by-step explanation:

5 0
3 years ago
When 3x^2-12x-7 is written in the form of a (x-h)^2+k, what is the value of a,h, and k?
slavikrds [6]
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3 0
3 years ago
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levacccp [35]
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6 0
3 years ago
Solve for |2x + 4|-1=7
Rudik [331]

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

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- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

6 0
3 years ago
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