Michael has 2 meters of yarn. she needs to cut the yarn into 10 equal pieces. how long will each price of yarn be? A.) 20 cm B.)
1 answer:
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Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so
I added a screenshot of the complete question along with the given choices.
<em><u>Answers:</u></em>
w = 10 ft and l = 50 ft ................> second option
w = 20 ft and l = 60 ft ...............> third option
w = 50 ft and l = 40 ft ...............> fifth option
<em><u>Explanation:</u></em>
<u>We are given that:</u>
length should be at least 20 ...........> length ≥ 20
equation for perimeter is : 2l + 2w ≤ 200
<u>We will check each option as follows:</u>
<u>Option 1:</u>
w = 50 ft and l = 10 ft
This option is incorrect as the proposed length is less than 20.
<u>Option 2:</u>
w = 10 ft and l = 50 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200
The second condition is also satisfied.
This option is correct
<u>Option 3:</u>
w = 20 ft and l = 60 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200
The second condition is also satisfied.
This option is correct
<u>Option 4:</u>
w = 90 ft and l = 30 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200
The second condition is not satisfied.
This option is incorrect
<u>Option 5:</u>
w = 50 ft and l = 40 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200
The second condition is also satisfied.
This option is correct
Hope this helps :)
