Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answers
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
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Step-by-step explanation:
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Answers
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
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15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
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Answer:
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Step-by-step explanation:
answer for the plato mastery test
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Answers
Answer:
[tex]no \: solution[/tex]
Step-by-step explanation:
1) Expand.
[tex]7a + 5a + 15 = 8a + 4a+ 8[/tex]
2) Simplify 7a + 5a + 15 to 12a + 15.
[tex]12a + 15 = 8a + 4a+ 8[/tex]
3) Simplify 8a + 4a + 8 to 12a + 8.
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[tex]no \: solution[/tex]
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
You kinda have to ask a question like with a problem such as something easy like -3+5(6-8) = -13
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Answers
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Steps:
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x = 180° - 76°
x = 104°
Check:
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I would appreciate brainliest if this was helpful, correct and had clear steps! :)
i will give brainly if you answer first
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Answers
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Answer:
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Answers
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Answer:
Step-by-step explanation:
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Answers
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Answers
3x=39
x=13
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TP=TN so TN is also 22