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2 years ago

15

Beatriz makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her con

jecture? PLEASE QUICKK

2 answers:

ki77a [65]2 years ago

8 0

Answer:

Step-by-step explanation:

please someone whats the answers

Dahasolnce [82]2 years ago

8 0

Answer:

C

If the side of a square, a, is an odd number, then the perimeter of the square is an even number, b.

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you draw two marbles without replacement from a bag containing four red marbles, two Yellow Marbles and five blue marbles, find

AleksAgata [21]

A bag contains four red marbles, two Yellow Marbles and five blue marbles.

Two marbles are drawn at random without replacement.

Total number of marbles are,

$4\text{ + 2 + 5 = 11}$

There are 11 ways to select first marble and 10 ways to select second marble.

The total number of possible outcomes are calculated as,

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Thus the total number of possible outcomes are 110.

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8 months ago

The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

$4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c$

$4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c$

$c^{2}-18c+17=0$

$c(c -17)-1(c-17)=0$

$(c -1)(c-17)=0$

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

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