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tatuchka [14]
3 years ago
10

In parallelogram ABCD, D is a right angle. Is ABCD a rectangle?

Mathematics
2 answers:
Ierofanga [76]3 years ago
7 0

Answer:Yes

Step-by-step explanation:

Because if the parallelogram has an right angle , the opposite angle will also be an right angle.So, in conclusion parallelogram ABCD is a rectangle.

Vlad [161]3 years ago
7 0

Answer:

B. Yes

Step-by-step explanation:

We have been given that in parallelogram ABCD, D is a right angle. We are asked to determine whether the given parallelogram is rectangle or not.

Let us recall parallelogram properties.

Opposite angles of parallelogram are equal.

Consecutive angles of parallelogram are supplementary.

Since D is a right angle, so its opposite angle will be right angle as well and consecutive angles of angle D will be right angles as well.

Therefore, the parallelogram ABCD is a rectangle and option B is the correct choice.

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A cube has all square faces which are connected by other square faces. A cylinder has two round faces connected by a "tube". A cube has 8 vertices and a cylinder has zero vertices.
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Alik [6]
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3 years ago
A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still
torisob [31]

Answer:

<em>The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

\displaystyle B-S=\frac{172}{3}

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

\displaystyle B+S=\frac{372}{4}=93

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

S = \frac{107}{6}\approx 17.83\ km/h

From [2]:

B = 93 - \frac{107}{6}

B=\frac{451}{6}\approx 75.17\ km/h

4 0
3 years ago
Hey guys so im in a little trouble i need some help please. I got 3 i just need 4,5,6,7,8,9,10 please and also i need step by st
Minchanka [31]

Answer:

4. x= -6

5. x= 7

6. x= -18

7. x= 8

8. x= 7

I'll do 9 and 10 in a separate answer

Step-by-step explanation:

4. Multiplying a negative with another negative always equals a positive, so replace x with -6, multiply -6 and -3 and you'll get 18.

5. To make it simple, think "what minus 3 equals 11?" So in this case, multiplying 2 by 7 would = 14, and that minus 3 is 11.

6. Divide a negative by a positive to get a negative answer. -9 + 6 = -3, but first we have to get 9. So since the fraction is x divided by 2, you'd replace x with -18 to get -9.

7. -3 x 8 is -24, + 11 is -13.

8. What minus 7 equals 21? 28. So replace x with 7. (7 x 4 = 28), subtract 7 from 28, and then you'll have 21.

6 0
3 years ago
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