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bogdanovich [222]
3 years ago
10

A marching band stands in a triangle formation. The drum major stands at A, one of the vertices of the triangle. The whole forma

tion marches 3 units left and 5 units up. They then march 2 units left and 2 units up. After the movement, what coordinates will the drum major be standing on? A. (11, 3) B. (11, 11) C. (1, 11) D. (1, 3)

Mathematics
1 answer:
iragen [17]3 years ago
7 0

Answer:

D. (1, 3)

Step-by-step explanation:

Based on the image uploaded, during the first march, move point A, 3 units left, the new position will (3, -4), then move point A again 5 units up, the new position will be (3,1).

From second march move point A  2 units left, the new position will be (1,1), finally move point A 2units up, the new position and last position will be (1, 3).

Thus, the drum major be standing on (1, 3)

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What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right
EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

 if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

 if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

 if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0
2 years ago
19-4q+q-11 simply the experssion
Black_prince [1.1K]

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▹ Answer

<em>8 - 3q</em>

▹ Step-by-Step Explanation

19 - 4q + q - 11

Combine like terms in terms of q:

-4q + q = -3q

Combine like terms:

19 - 11 = 8

Final answer:

8 - 3q

Hope this helps!

CloutAnswers ❁

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4 0
2 years ago
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77julia77 [94]

Answer: x = 16

Step-by-step explanation:

X-6 = 10

X = 10 + 6

X = 16

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3 years ago
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elixir [45]

Answer:ooff

Step-by-step explanation:

1+1=2

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3 years ago
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deff fn [24]
First convert the mixed number to a fraction: 1 5/6 = 11/6.
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