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
Related Questions
It is also called as the constant of proportionality. It is also called as the constant of proportionality. *
Answers
Answer:
constant of variation
Step-by-step explanation:
Constant of variation and constant of proportionality mean the same and they are used in variations.
For instance:
[tex]y = 2x[/tex]
In the above equation, y varies directly as x and the constant of proportionality or variation is 2.
It is often represented with k (though, other alphabets can also be used)
calculate and simplify:
-2+3(1-4)-2
Answers
Answer:
-13
Step-by-step explanation:
-13
= -2-9-2
= -13
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On vacation, you notice that a local taxi cab service offers rides with the following pricing: $1.80 for entering the cab plus $0.47 for each mile driven. How many miles did you travel if your taxi cab fare came to a total of $12.14?
NEED ASAP
Answers
Answer:
22 miles
Step-by-step explanation:
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Answer:
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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:
i will give brainly if you answer first
The percentage of pepperoni in a pizza is 35.67%. What is 35.67% rounded to the nearest whole percent?
A. 35%
B. 35.7%
C. 36%
D. 37%
Answers
Answer:
C
kanavgaudodkebwgagk
1) In triangle ABC, LC = 90, Write Pythagoras theorem for triangle.
Answers
Answer:
AB² = AC² + BC²
Step-by-step explanation:
Since,
H² = A² + O²
WILL GIVE BRAINLIEST!
A triangle has a 16° angle and a 60° angle. What is the measure of the third angle?
°
Answers
because in a triangle all angles add up to equal 180 so 16+60+?=180. 104
Steps:
16° + 60° + x = 180°
76° + x = 180°
x = 180° - 76°
x = 104°
Check:
16° + 60° + x = 180°
16° + 60° + 104° = 180°
180° = 180° ✅
I would appreciate brainliest if this was helpful, correct and had clear steps! :)
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
For 5 days, Tony put $4 into his savings account each day. His parents also added a certain amount of money to the account each day. In the end, there was a total of $40 in the account. How much money did Tony's parents add each day?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 5, 4, and 40. Let represent the amount (in dollars) Tony's parents added each day.
o_(x+_)=_
or
o_(x-_)=_
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x=_
Answers
Answer: lol i may be wrong but...
Step-by-step explanation: im
pretty sure the equation would 5(x+4)=_
and the amount of money his parent put in was also $4 evreyday for 5 days.
Someone pls pls help
Answers
Step-by-step explanation:
(4,20) means that the snail took four hours to cover a distance of 20 feet.
Which algebraic equation correctly represents this statement?
The square of the product of 4 and a number is the sum of the number and 15.
1. (4x)^2 = x + 15x
2. 4x^2 = x + 15
3. 2(4x) = x + 15
4.(4x)^2 = x + 15
Answers
Answer:
i think it's option 2
Step-by-step explanation:
Answer:
the answer is the fourth option
Step-by-step explanation:
i just clicked it and it said it was right, for plato
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Answers
Answer:
The answer is c
Step-by-step explanation:
Answer:
C. 36
Step-by-step explanation:
b can't be 45 because 10 is 45. b also can't be less than 27 because 6 is 27. So it would be 36 by process of elimination.
6x(x^2-x+7)
Simplify your answer
Answers
Answer:
6x^3-6x^2+42x
Step-by-step explanation: hoped i helped
Answer:
Step-by-step explanation:
6x(x²-x+7) = 6x³-6x²+42x
Use the figure.
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A circle has a diameter labeled ten meters.
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Answers
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
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Step-by-step explanation:
Answer:
Formula for the circumference of a circle =2pir
Since the diameter is 10m the radius is half of that which is 5m.
2×3.14×5=31.4m
Step-by-step explanation:
I hope this helps.Have a great day♡
Help ASAP 10 points
Is this a right triangle
Answers
400 passengers go on a coach trip.
Each coach takes 50 passengers.
Each passenger pays £23
Below shows the costs for the coach company.
pay for driver/cost for each coach=£95
Fuel/ cost for each coach = 70p per mile
Each coach travels 200 miles.
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Answers
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Answer:
Its c have a nice day! <3
Step-by-step explanation:
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sho your work
Answers
Answer:
-3 points per minute
Step-by-step explanation:
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Answers
3x=39
x=13
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3(13)-17=22
TP=TN so TN is also 22
The function g is defined by the following rule.
g(x) = 4x + 2
Complete the function table.
Answers
Answer: g(x)= solve for x
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I think 4x+2 is in standard form but if not
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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:
6 = 2 x 3
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.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
Answer:
25/30 and 28/30
Step-by-step explanation:
answer for the plato mastery test
How many solutions does this equation have?
7a + 5 (a + 3) = 8a + 4 (a + 2)
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.
[tex]12a + 15 = 12a + 8[/tex]
4) Cancle 12a from both sides.
[tex]15 = 8[/tex]
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[tex]no \: solution[/tex]
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Answers
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2
8
11
14
17
у
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Answers
Answer:
m=-4
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Step-by-step explanation:
What is the slope of the line
Answers
Answer:
2
Step-by-step explanation:
So first, you have to know the equation y2-y1/x2-x1 which you can use any point on the line. I will pick a random point and show you. (0,-3) and (2,1). Plug these two points into the equation and get 1--3/2-0. Simplify this and get 4/2 which is equal to 2.
Just a reminder y2 and x2 is not y squared and x squared, it is just the second number of the points.
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Answers
Answer:
Hello, i think that your answer would be c
Step-by-step explanation:
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Answers
Answer:
16
Step-by-step explanation:
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Answers
Answer:
C
Step-by-step explanation:
The figure below shows a shaded region and a non-shaded region. Angles in the figure that appear to be right angles are right angles.
What is the area, in square feet, of the shaded region?
What is the area, in square feet, of the non-shaded region?
Answers
Answer:Area of part 1:
A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2
Area of part 2:
A2=length*width=(8+2)*1=10 ft2
Area of part 3:
A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2
Total area of the reactangle : A=16*8=128 ft2
Total area of the nonshaded region : 128-41=87 ft2
Step-by-step explanation: Plz make brainliest
Answer:
Total shaded area : A1+A2+A3=41 ft2
Total area of the reactangle : A=16*8=128 ft2
Total area of the nonshaded region : 128-41=87 ft2