What postulate/theorem can be used to prove the following triangles congruent?

Mathematics

2 answers:

Orlov [11]3 years ago

7 0

Answer:

The S.A.S rule can be used to prove the following triangles congruent.

Step-by-step explanation:

The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2 sides and angle of the other triangle, then u can considere that triangle congruent.

Oxana [17]3 years ago

6 0

Answer:

SAS

Step-by-step explanation:

2 sides and 1 angle are congurent

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Two phone companies one is 11/+.16/ min And another is 20+.11/min How many minutes will make both equal amounts

Ilia_Sergeevich [38]

Answer:

Company one charges $11 + $0.16 per min.

Then if you talk for x minutes, the cost will be:

C₁(x) = $11 + ($0.16 per min)*x

For company two, the prize is $20 + $0.11 per min, and if yo talk for x minutes, the cost will be:

C₂(x) = $20 + ($0.11 per min)*x

Now we want to find the value of x, the number of minutes, such that the cost is the same with both companies.

C₁(x) = C₂(x)

$11 + ($0.16 per min)*x = $20 + ($0.11 per min)*x

($0.16 per min)*x - ($0.11 per min)*x = $20 - $11

($0.05 per min)*x = $9

x = $9/($0.05 per min) = 180 mins

If you speak for 180 minutes, the cost is the same in both companies.

5 0

3 years ago

Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

Answer: The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$