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pentagon [3]
2 years ago
13

3x + 2(x - k) + 3 = 5x - 5

Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

0=2k-8

Step-by-step explanation:

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Can anyone please help me with this ?
djverab [1.8K]

Answer:

The distance from point A to the top of the building is 5\sqrt{2} feet

The Height of the Skyscraper is 5 feet

Step-by-step explanation:

Given

Let Top point of building be point C

Also Let Base of the building be point  B

Distance from point A to base B of the building AB= 5 feet

∴ It makes a Right angle triangle

Also ∠ACB = 45°

Also tan 45° = 1

Now tan ∠ACB =\frac{AB}{BC}

∴ AB= BC =5 feet

The Height of the Skyscraper is 5 feet

Now Triangle ABC is right angle triangle with right angled at B

So by Pythagoras theorem

AC= \sqrt{AB^2+BC^2}=\sqrt{5^2+5^2} =\sqrt{50} =\sqrt{25\times2} =\sqrt{5^2\times2}=5\sqrt{2}

The distance from point A to the top of the building is 5\sqrt{2} feet

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3 years ago
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Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion.
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Which two ratios form a proportion?
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Step-by-step explanation:

4 and 5 is one 20/25

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KatRina [158]

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Step-by-step explanation:

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Name the line of reflection used to map each preimage to its image
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Answer:

From the picture attached,

9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.

   Therefore, line of reflection will be x = -2

10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,

y = x.

11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.

12). Line passing through midpoint of the line joining BB' will be the line of reflection.

Coordinates of B → (5, 3)

Coordinates of B' → (5, 7)

Coordinates of BB' →  → (5, 5)

Therefore, line of reflection will be y = 5.

13). Coordinates of G → (2, 5)

    Coordinates of G' → (-2, 5)

    Midpoint joining the segment GG' →  → (0, 5)

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14). Line of reflection passing through (0, 0) and slope = -1

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Step-by-step explanation:

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