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Illusion [34]
2 years ago
11

Identify the postulate (SAS, ASA, SSS) / theorem (AAS) that proves the two triangles are congruent.​

Mathematics
1 answer:
Arisa [49]2 years ago
6 0

Answer:

1) SAS

2) ASA

3) SSS

4) AAS

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What is the difference between 23 and 0.33​
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Answer:

22.67

Step-by-step explanation:

take 0.33 away from 23 to find the answer

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There is a raffle at a hockey game and 125 tickets are sold. Maris bought 3 tickets. What percent of the tickets
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2.4%

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Is 3/4 less than 2/10??
oksano4ka [1.4K]

Answer:

No.

Step-by-step explanation:

3/4 is not less than 2/10.

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{3x}^{2}  + 5x + 2 \\  =  {3x}^{2}  + 3x + 2x + 2 \\  = 3x(x + 1) + 2(x + 1) \\  = (3x +2)(x + 1)

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If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
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