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Dahasolnce [82]

3 years ago

11

Math help please. Which rule explains why these triangles are congruent? ( A). ASA (B.) AAS (C.) SAS ( D.) These triangles can n

ot be proven to be congruent

1 answer:

Amiraneli [1.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Remark

You have 3 angles which are congruent. You can prove similarity. You cannot prove congruency. You must have 1 side to show conguency.

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Step-by-step explanation: (2, -3) is the new ordered pair rotated 270°

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4 years ago

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If m<8=94 then ehat does m<6 equal

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5 0

4 years ago

15. For each of the following, write the probability as the intersection of two events. Then, indicate whether the two events ar

LuckyWell [14K]

Answer:

Step-by-step explanation:

a. The probability of selecting a 6 from the first draw and a 7 on the second draw when two balls are selected without replacement from a container with 10 balls numbered 1 to 10

Not independent because without replacement

Prob for both = $\frac{1}{10} \frac{1}{9} \\=\frac{1}{90}$

b. The probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected with replacement from a container with 10 balls numbered 1 to 10

Here independent because with replacement makes probability independent.

Prob for both = P(A) *P(B) = $\frac{1}{10} *\frac{1}{10} \\=\frac{1}{100}$ d

c. The probability that two people selected at random in a shopping mall on a very busy Saturday both have a birthday in the month of June. Assume that all 365 birthdays are equally

likely, and ignore the possibility of a February 29 leap-year birthday.

Here independent because one person birthday will not affect the other person birthday

Prob for both = $(\frac{30}{365})^2\\ =\frac{25}{5329}$

d. The probability that two socks selected at random from a drawer containing 10 black socks and 6 white socks will both be black

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4 years ago

Set up a linear system and solve.

liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0

3 years ago