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3 years ago

If PQRS is a rhombus, which statements must be true? Check all that apply.

Mathematics

1 answer:

Aleksandr [31]3 years ago

4 0

Answer:

Options (B), (C) and (F) are correct.

Step-by-step explanation:

Properties of a rhombus,

1). All sides of a rhombus are equal in measure.

2). Both the diagonals of a rhombus are the perpendicular.

3). Diagonals bisect the vertex angles.

By these properties of a rhombus,

Option (B): PR is perpendicular to QS.

Option (C): ∠QPR ≅ ∠SPR

Option (F): PQ ≅ QR

Therefore, options (B), (C) and (F) are correct.

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As the earth rotates, it travels a distance of 80 miles in 5 minutes. At this constant rate, which equation best represents y, t

solniwko [45]

Answer:

y=16x

Step-by-step explanation:

So, you are given the equation as if y=total distance the earth travels in x minutes. If you are given that you travel 80 miles in 5 minutes, you can plug these value into the variables they are representing and solve for the constant.

Visual:

y=xk y=miles x=minutes k=constant

Plug in your values and you get:

80=5k

Now, you solve for k by diving 5 on both sides, which leaves you with k=16.

Now you plug your value for k into the original equation, leaving you with y=16x

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Gary is catering a picnic. There will be 118 gusts at the picnic , and he wants each gust to have 12-ounce serving of salad. How

Gala2k [10]

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2 years ago

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Need Help With This:

Pavlova-9 [17]

Answer:

230 * (30/100) = 23 * 3 = 69

Step-by-step explanation:

This one can be learned by heart: "what is 30% of 230" means "calculate 30/100 times 230".

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3 years ago

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As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angl

yulyashka [42]

Please refer to the figure attached for the diagram of this problem.

Steps needed to find the width of the field (CD):

First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.

We then subtract 27 and 5 from 180 to get angle c. $180-27-5=148$ . Angle c is therefore 148 degrees.

Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures $180-148=32$ degrees.

For the next step we use sine law to find the length of segment AC:
$\frac{sin(32)}{800} = \frac{sin(90)}{AC}$
$AC=1509.66$

Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
$\frac{sin(27)}{1509.66} = \frac{sin(5)}{CD}$
$CD=290$

ANSWER: The width of the field is 290 ft.

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3 years ago