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Karolina [17]
2 years ago
9

Which of the following matches a quadrilateral with the listed characteristics

Mathematics
1 answer:
Masja [62]2 years ago
6 0

The quadrilateral that matches the characteristics is a square.

<h3 />

<h3>What is a quadrilateral?</h3>

A quadrilateral is a 2 dimensional figure with 4 sides. Example of quadrilaterals are rectangle, rhombuses, square, parallelograms and many more.

Therefore, the quadrilateral that matches the characteristics is a square.

Properties of a square

  • It has 4 right angles.
  • It has 4 congruent sides.
  • Both pairs of opposite sides are parallel.

learn more on quadrilateral here: brainly.com/question/13805601

#SPJ1

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The answer is A. 1:1
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4 years ago
How many solutions does these equations have? One, infinite or no solutions?
s2008m [1.1K]

Answer:

  • 1. 7(y + 3) = 5y+8: <u>one solution</u>

  • 2. 10 + 6x= 2(5+3x): <u>infinite solutions</u>

  • 3. 3x + 5 - x=2x + 7: <u>no solutions</u>

  • 4. 4x - 4 = 2x + 8: <u>one solution.</u>

Explanation:

<u>1. 7(y+3)=5y+8</u>

<u></u>

a)  Distributive property of multiplication over addtion:

  • 7y + 21 = 5y + 8

b) Subtraction property of equalities:

  • 7y - 5y = 8 - 21

c) Combine like terms:

  • 2y = - 13

d) Division property of division:

  • y = - 13/2

e) Conclusion: the equation has one solution.

<u>2. 10 + 6x = 2(5+3x)</u>

a) Distributive property of multiplication over addition:

  • 10 + 6x = 10 + 6x

b) Subtraction property of equality:

  • 6x - 6x = 10 - 10

c) Simplify (combine like terms)

  • 0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

<u>3. 3x + 5 - x = 2x + 7</u>

a) Combine like terms:

  • 2x + 5 = 2x + 7

b) Subtraction property of equalities:

  • 2x - 2x = 7 - 5

c) Combine like terms (simplify)

  • 0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

<u>4. 4x - 4 = 2x + 8</u>

<u></u>

a) Subtraction property of equality

  • 4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

  • 2x - 4 = 8

c) Addtiion property of equalities:

  • 2x = 8 + 4

d) Combine like terms (simplify)

  • 2x = 12

e) Division property of equalities:

  • x = 6

f) Conclusion: the equation has one solution

5 0
4 years ago
7. Are the two lines parallel, perpendicular, or neither? Explain your answer. Show work needed to answer the
kiruha [24]

Answer:

The lines are perpendicular

Step-by-step explanation:

5 0
3 years ago
Which functions have the same rate of change?
Anestetic [448]

Answer:

Option 3

Step-by-step explanation:

All equations are in slope-intercept form. y=mx+b

The 'm' is the slope.

The 'b' is the y-intercept.

The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.

<em>Let's look over the equations:</em>

<h3>Equation A:</h3>

y=0.3x-6

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation B:</h3>

y=3x-8

In this equation, 3 replaces 'm', so the rate of change for this equation is 3.

<h3>Equation C:</h3><h3>y=0.3x+4</h3>

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation D:</h3><h3>y=0.03x+1</h3>

In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.

Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.

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A is the correct answer
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