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JulsSmile [24]
3 years ago
13

What is the value of x.

Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0
98. Because 53+45=98 and then the sum of all the angles are 180 so 180-98=82 and then 180-82 to get X is 98.
horsena [70]3 years ago
4 0

Answer:

x = 98 degrees

Step-by-step explanation:

All angles in a triangle add up to 180

Solve for the missing angle

53 + 45 = 98

180 - 98 = 82

The angle next to it forms a linear pair which also adds up to 180 degrees.

180 - 82 = 98

X = 98 degrees

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If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott
Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

8^{2} + b^{2} = 17^{2} --> Square 8 and 17

64 + b^{2} = 289 --> Subtract 64 from both sides

b^{2} = 225 --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

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3 years ago
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