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3 years ago

Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ .

Mathematics

1 answer:

IgorC [24]3 years ago

4 0

Answer:

It's B). Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.

Step-by-step explanation:

just took the test

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The length of a rectangle is twice as long as the width of the rectangle.

Rashid [163]

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²

8 0

3 years ago

Find the value of 7p – 3q when p= 8 and q = -5

EastWind [94]

Step-by-step explanation:

7p – 3q

if p= 8 and q = -5

7(8)-3(-5)

56+15

=71

5 0

2 years ago

Read 2 more answers

the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers

notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

$y = k * x$

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

$476 = k * 17$

From here, we clear the value of k:

$k = \frac{476}{17}\\k = 28$

Therefore, the relationship is:

$y = 28x$

For 1428 kilometers we have:

$1428 = 28x$

Clearing the amount of fuel we have:

$x = \frac{1428}{28}\\x = 51$

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0

3 years ago

When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to rec

DIA [1.3K]

Answer:

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

3 0

3 years ago

Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground

pshichka [43]

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

8 0

2 years ago