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bezimeni [28]
3 years ago
13

Which description does NOT guarantee that a quadrilateral is a rectangle?

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer: A

 a quadrilateral with all four angles right

Step-by-step explanation:

A  quadrilateral is a rectangle if a quadrilateral has all four angles right,

a parallelogram with congruent sides

a quadrilateral with diagonals that are congruent and bisect each other

a quadrilateral with all congruent angles. Because a rectangle possesses 2 pairs of parallel sides, 4 right angles at 90°. It has opposite sides which

are parallel and  congruent. And all its angles are congruent.

But a quadrilateral with all four angles right is a description that does NOT guarantee that a quadrilateral is a rectangle. Because this description is also applicable to a square.

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Mrs. Hall has $389 in her bank because 538 - 149 = 389.
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xis less than or equal to -3

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

C=5

Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

7 0
3 years ago
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of p
Katena32 [7]

Answer:

Number of plain cookie boxes sold = 785 boxes

Step-by-step explanation:

Given: Cost of a chocolate chip cookie box = $1.25

Cost of a plain cookie box = $0.75

Total number of boxes sold = 1585

Total cost of the sold boxes = $1588.75

Let, number of plain cookie boxes sold = x

Number of chocolate chip cookie boxes sold = 1585 - x

So,

Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes

$1588.75 = x ($0.75) + (1585 - x) ($1.25)

1588.75 = 0.75 x + 1981.25 - 1.25 x

0.5 x = 392.5

Therefore,

<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>

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