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joja [24]
3 years ago
15

You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you have 5 friends who want to com

e along. How many different groups of friends could you take with you?
Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0
You would get a total of you count them by pairing them up. The combos are as follows:
For your answer you can count a total
1,5
1,4
1,3
1,2

2,3

2,4

2,5

3,4

3,5

4,5
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3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
A cheetah ran 275 feet in 3.23 seconds. How fast did the cheetah run in miles per hour? Round your answer to the nearest whole m
yawa3891 [41]
First we convert feet into meters, since 1 feet is 0.3048 m: 275 feet * 0.3048 = 83.82m.

Then we do: 83.82m / 3.23s =  <span>25.9504644 m/s.

Then we convert that into miles per hour by </span>2.23694, so we do:

25.9504644 * 2.23694 = <span>58.0496318.

Then we round it to 58 mph.

So the answer is: The cheetah was running at 58 mph.

Hope this helped! c:</span>
6 0
3 years ago
1.6 - 1.3 mathematics
elena-14-01-66 [18.8K]
Answer: 0.3 :) :) :) :)
8 0
3 years ago
Which expression is equivalent to "-4 - (-5)"?<br> 5 - (-4)<br> 5 + 4<br> -4 + 5<br> 4 + 5
kodGreya [7K]
The answer is -4 + 5
7 0
3 years ago
Read 2 more answers
a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then
insens350 [35]

Answer:

a) Everyone on the team talks until the entire team agrees on one decision.

Step-by-step explanation:

Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense

8 0
2 years ago
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