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snow_tiger [21]
3 years ago
13

15 A. Really need help!

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Angles DBA and CBE are congruent because they form a vertical pair.

The interior angles of any triangle sum to 180º in measure, so it follows that angles A and E must be congruent.

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algol [13]
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How many times larger is 1,000 than 1?
ss7ja [257]

Answer:As 1,000 multiplied by 1 equals 1,000. So, 1000 is thousand times bigger than 1. For instance, 100 is 10 times bigger than 10.

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Y_Kistochka [10]
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3 years ago
A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

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