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PilotLPTM [1.2K]
2 years ago
6

MARKING BRAINLIEST!!!

Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

(4, 4) is the solution to both lines A and B.

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect. Lines A and B intersect at point (4,4). This means (4,4) is the point which makes both equations true for the same values. The correct answer is     "(4, 4) is the solution to both lines A and B."

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Is |4x+2|+6=0 no solution, all real numbers, 0, and 2
algol [13]

                                        <u>|4x + 2| + 6 = 0</u>

Subtract  6  from each side:  |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make  |4x + 2|  negative.

So the equation has <em>no solution</em>.


7 0
3 years ago
A reasonable estimate of the
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What is the distance across the lake?<br>​
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Answer:

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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
  • Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
  • Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0
2 years ago
A store owner decided to collect data on his customers. On one day he observed:
Mnenie [13.5K]

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

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Died: February 3, 1468 (aged about 68); Mainz‎, ...‎

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‎Early life · ‎Printing method with... · ‎Legacy · ‎References

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