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Pepsi [2]
1 year ago
12

Figure ABCD is a parallelogram. What is the product of xy?

Mathematics
1 answer:
Andrei [34K]1 year ago
5 0

Answer:

A) 2695.

Step-by-step explanation:

Opposite angels of a parallelogram are equal.

Also (x - y) = 42   (interior alternate angles)

So we have the system of equations:

x + y = 112

x - y = 42       Adding the 2 equations:

2x = 154

x = 77.

Plug x = 77 in the first equation:

77 + y = 112

y = 112 - 77 = 35.

and

xy =  77 * 35 =  2695.

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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo se
frutty [35]

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69    Eqn 1

y=x+5    Eqn 2

z=2x    Eqn 3

Putting Eqn 2 and 3 in Eqn 1

x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64

Dividing both sides by 4;

\frac{4x}{4}=\frac{64}{4}\\x=16

Putting x=16 in Eqn 2

y=16+5=21

Putting x=16 in Eqn 3

z=2(16)=32\\

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

Learn more about addition at:

  • brainly.com/question/10882895
  • brainly.com/question/10883914

#LearnwithBrainly

8 0
3 years ago
How is shading a grid to show 1 tenth different from shading a grid to show 1 hundredth?
soldier1979 [14.2K]
If you have a grid with a hundred units and you need to show 1 hundredth (or 1%) you shade in 1 unit. If you need to show a tenth (or 10%) you shade 10 Units. I would need a picture of the grid to help any further.
6 0
2 years ago
Read 2 more answers
Plz help <br><br> Hhhhhhhheeeeeeeeellllllllllppppppppp
anastassius [24]

Answer:

Step-by-step explanation:

1kg = 1000g

3000g [divide by 1000 to get answer in kg]

3kg = D

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3 years ago
Is the number rational or irrational? Explain. <br><br> A. -38 <br><br> B. 400 <br><br> C. 2 3 27
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A.  No, because -38 isn't a fraction.

2, No because 400 is a real number.

3. Yes because fractions, decimals, and percents are rational numbers.


hope that helped
6 0
3 years ago
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