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Vlada [557]
3 years ago
6

How do you prove a rectangle in geometry?

Mathematics
1 answer:
dedylja [7]3 years ago
6 0

- The opposite sides are parallel and congruent. - The diagonals bisect each other.

- There are 4 right angles. - The diagonals are congruent.

- Show that both pairs of opposite sides are congruent.

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A jar has 20 marbles: 3 green, 12 blue, 5 red.
nadezda [96]

Probability is defined as the <u>likelihood or the certainty</u> that an event is going to<u> occur or happen.</u>

The probability of randomly choosing a red and then a green marble is 3/76.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

<u>The probability of choosing a red marble</u> = Number of red marbles / Total number of marbles

= 5/20

<u>In simplest fraction form</u> = \frac{1}{4}

We are told in the question that you keep the red marble you choose, So this means the <u>total number of marbles</u> left reduces to 19

<u>The probability of choosing a green marble is</u> =  Number of green marbles / New total number of marbles

= 3/19

Therefore, <u><em>the probability of randomly choosing a red and then a green marble is </em></u>

P (Red) x P(Green)

= 1/4  x 3/19

= 3/76

To learn more, visit the link below:

brainly.com/question/22563776

4 0
2 years ago
What is 10 less than 14 in algebraic expression?
Cerrena [4.2K]

14-10=? less than indicates that a minus sign is needed.

7 0
3 years ago
A cone has a diameter of 30 in. and a slant height of 17 in. What is the approximate volume of the cone?
Alex777 [14]
We need to find the height of the cylinder
pythagorean theorem
15 is the bottom leg (30/2=15)
17 is hypotonuse
b=height
15^2+b^2=17^2
225+b^2=289
minus 225 both sides
b^2=64
sqrt both sides b=8

Vcone=(1/3)hpir^2
d/2=r=30/2=15
h=8
V=(1/3)8pi15^2
V=(1/3)8pi225
V=8pi75
V=600pi
aprox pi=3.14159256
V=1884.955536 in^3
round if nececary
7 0
3 years ago
How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a
lesya [120]

Answer:

  • C. 0.7 yd³

Step-by-step explanation:

<u>Find the volume of cylinder:</u>

  • V = πr²h

<u>Convert the dimensions into yards:</u>

  • d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
  • h = 6 feet = 6/3 yards = 2 yards

<u>Find the volume by substituting the values:</u>

  • V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0
2 years ago
Which quantity is proportional to 35/80
Talja [164]

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

6 0
3 years ago
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