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Serga [27]
3 years ago
10

Angle ABC and angle CBD are complementary. What is the value of x? Record your answer as a whole number.

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer:

x=31

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

So, 2x+28=90.

To solve:

1. Subtract 28 from both sides

2x=90-28

2x=62

2. Divide both sides by 2

x=62/2

x=31

Alenkasestr [34]3 years ago
7 0

Answer:

so ABD is equal to 90 degrees. all you have to do is subtract angle CBD (which is 38 degrees) from angle ABD (which is 90 degrees). this would mean that 2x = 52. you then solve for x which means x = 26.

Step-by-step explanation:

90 - 38 = 52

2x = 52

x = 26

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5 0
3 years ago
A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the
andrezito [222]

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818

Taking square root on both sides

\sqrt{c^2}=\sqrt{818}\\c=28.6

Hence,

The ladder is 28.6 feet long.

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3 years ago
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Darina [25.2K]

Answer:

y=2x

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Step-by-step explanation:

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3 0
3 years ago
A stainless steel patio heater is shaped like a square pyramid. The length of one side of the base is 19.8 inches. The slant hei
Inessa [10]

Answer:

Step-by-step explanation:

You can look at the photo for more information:

Use the pythagorean theorem to solve this problem

height^{2}  = slant height^{2} - half of base diagonal^{2}  

= 92.8^{2} -19.8^{2}

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So the height is: 90.66

4 0
3 years ago
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Dvinal [7]

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3 0
3 years ago
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