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sergij07 [2.7K]
3 years ago
8

Which of the following statements is true?

Mathematics
2 answers:
lozanna [386]3 years ago
7 0

Answer:

D

Step-by-step explanation:

its d since the sides of a rectangle have to be parralell with eachother

kramer3 years ago
3 0

Answer:

<h2>D) All rectangles are parallelograms.</h2>

Step-by-step explanation:

A) A trapezoid must have congruent sides.   NO

<em>because all sides may have different lengths</em>

B) Every angle in a quadrilateral must be less than...

<em>Angles of quadrilateral can have different measures. </em>

<em>It is important that they meet the condition:</em>

<em>The angles in any quadrilateral add up to 360°. </em>

C) All rectangles are squares.   NO

<em>All squares are rectangles. The square has all sides congruent. The rectangle has two pairs of congruent sides.</em>

<em />

D) All rectangles are parallelograms.   YES

<em>All rectangles have two pairs of congruent and parallel sides</em>

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Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in
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Answer:

a) The unit rate of change of d with respect to t is equal to 1.6

b) the graph of the line in the attached figure.

3 0
3 years ago
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Alex has a bag of marbles. Each marble is red, blue, or yellow , and the ratio of the red to blue to yellow marbles is 6:10:15.
lesantik [10]

Answer:

There are 150 blue marbles in Alex's bag.

Step-by-step explanation:

Let x, y, z be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:

Initial ratio

\frac{x}{y} = \frac{6}{10} (1)

\frac{y}{z} =  \frac{10}{15} (2)

Final ratio

\frac{x + 10}{z - 25} = \frac{1}{2} (3)

After some algebraic handling we get the following system of linear equations:

x - \frac{3}{5}\cdot y = 0 (1)

y - \frac{2}{3}\cdot z = 0 (2)

2\cdot (x + 10) = z - 25

2\cdot x +20 = z - 25

2\cdot x - z = -45 (3)

The solution of the system of linear equations is:

x = 90, y = 150, z = 225

There are 150 blue marbles in Alex's bag.

5 0
3 years ago
A part of the city of New Orleans is 6 feet below sea level. We can use "-6 feet" to describe its
andriy [413]

Answer:

[-8]

Step-by-step explanation:

6 0
3 years ago
What is cot, and tan
viktelen [127]

Answer:

tan and cot are trigonometric functions

7 0
3 years ago
Please help me answer this question
strojnjashka [21]

Answer:

  • modulus: 3√2
  • argument: -3π/4  (or 5π/4)

Step-by-step explanation:

The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).

__

<h3>rectangular form</h3>

The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:

  \dfrac{-9+3i}{1-2i}=\dfrac{(-9+3i)(1+2i)}{(1-2i)(1+2i)}=\dfrac{-9+3i-18i-6}{1+4}=-3-3i

<h3>polar form</h3>

The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:

  modulus = √((-3)² +(-3)²) = 3√2

The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.

  arg = arctan(-3/-3) = -3π/4  or  5π/4 . . . . radians

__

  modulus∠argument = (3√2)∠(-3π/4)

3 0
2 years ago
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