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 1

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

Line Segment JL Is An Altitude In Triangle JKM. Triangle K J M Is Shown. Angle K J M Is A Right Angle.
Answer 2

Answer:

C-JKM is not a right triangle because KL + LM ≠ 15.3

Step-by-step explanation:

if right mark as brainliest


Related Questions

please help on both!! will give brainliest.​

Answers

Answer:

6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x

Step-by-step explanation:

For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.

(there's an error in this question)

As for question 6,

a) with coordinate (x,y) = (-2,7)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(-2,7) ➡️ (x2,y2) then,

m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -7/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −7/2 (x-0)

If we simplify this, we simply get

y = −7/2 x ← This is our equation for coordinate (-2,7)

b) with coordinate (x,y) = (2,-1)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -1/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −1/2 (x-0)

If we simplify this, we simply get

y = −1/2 x ← This is our equation for coordinate (2,-1)

c) with coordinate (x,y) = (4,-5)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -5/4 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −5/4 (x-0)

If we simplify this, we simply get

y = −5/4 x ← This is our equation for coordinate (4,-5)

d) with coordinate (x,y) = (10,-17)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -17/10 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −17/10 (x-0)

If we simplify this, we simply get

y = −17/10 x ← This is our equation for coordinate (10,-17)

Select the graph that correctly represents the
armount of money. y. Jack earns doing
chores for x hours at $2 an hour if he works
for a maximum of 8 hours.

Answers

Answer: C

Step-by-step explanation: Because 2 times 1= 2 2times 2=4 2 times 3=6 etc...

asap please help for brain list

If a+b = c which of the following statements is true?

b-c=a

a-c=b

c-a=b

c+b= a

Answers

Answer:

c-a=B

Step-by-step explanation:

if A+B=c then you subtract a from c and you get b

Answer:

C. c - a = b

Step-by-step explanation:

a + b = c

There are many ways to rearrange this equation. This can be done through addition and subtraction.

First, let's handle a. a is positive; therefore, we should subtract it.

a + b = c

b = c - a

Next, let's handle b. b is also positive; therefore, we should subtract it.

a + b = c

a = c - b

Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.

From our options, we can see that we have produced: b = c - a

This is an option, which has been written as c - a = b.

Therefore, your answer is C. c - a = b

Hope this helps!

What is the area of this composite figure??

Answers

Answer=53

Step-by-step explanation:

What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)​

Answers

Answer:

The vertex is ( -6, 3)

Step-by-step explanation:

h(x) = |x+ 6| + 3

Inside the absolute value is the h or the x coordinate of the vertex

Outside is the k or the y value of the vertex

It is in the form

h(x) = |x-h| + k  where (h,k) is the vertex

h(x) = |x - -6| + 3

The vertex is ( -6, 3)

Answer:

B. (-6, 3)

Step-by-step explanation:

Given function:

h(x) = |x + 6| + 3

This is the translation of f(x) = |x|,  6 units left and 3 units up

So the vertex is (-6, 3)

Correct choice is B

how do I find the ratio​

Answers

Answer:

Ratios are like fractions. It is one part divided by the total amount of parts.

Step-by-step explanation:

for example there are 2 boys and 5 girls

so the ratio of boys to girls is 2:5

Find the measure of.. (image included)
I need help please! My teacher changed the due date to today and I don't understand it.

Answers

the answer is b . 50 degrees

Answer:

B) 50

Step-by-step explanation:

<A = x + 53

x + 53 + x + 83 + 50 = 180

2x + 186 = 180

2x = -6

x = -3

<A = x + 53

-3 + 53

50

2
3
4
5
Simplify.
(-v2+3v – 7) + (402+5v+6)

Answers

Answer: -v^2 + 8v + 401

Step-by-step explanation:

i am thinking of a number. i will add four and then multiply it by five. the answer will be thirty five. whats the number?

A-2
B-3
C-4
D-5​

Answers

Answer:

B. 3

Step-by-step explanation:

Let's make an equation for this. Our unknown number is x.

x

We are adding 4.

x + 4

Then multiplying by 5.

(x + 4) • 5

It will equal 35.

(x + 4) • 5 = 35

To solve this, divide both sides by 5.

(x + 4) = 7

Now subtract 4 from both sides.

x = 3

This is your answer.

Check this by plugging it back into our original equation.

(x + 4) • 5 = 35

(3 + 4) • 5 = 35

7 • 5 = 35

35 = 35

Your answer is correct.

Hope this helps!

how many times can 10 go into 111?

Answers

Answer:

11 times

Step-by-step explanation:

hope this helps

Answer:

11.

Step-by-step explanation:

10 x 10 = 100

10 x 11 = 110

10 x 12 = 120 which is too much so its the one above.

Choose True or False for each equation for x = 6.

Answers

1 = False (6x6 = 36)

2 = True ( 6 + 5 = 11)

3 = True ( 6/2 = 3)

4 = True (17 - 6 = 11)

Answer:

false

true

true

true

Step-by-step explanation:

Help me pls pls help

Answers

Double 8 means to do 8 x 2 and you also need to do 4x2. In the end you need to subtract the two numbers so you need brackets.

This means (8x2)-(4x2) is the correct answer!!

Hope this helps :)

Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

pease help me i really need this

Answers

Answer:

2:140

1:70

Step-by-step explanation:

:)

420 divide by 6 is 70
70 x 2 is 140
70 x 1 is 70
he drove 140 miles in 2 hours, and 70 miles in an hour

The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.




Which statement is true regarding these data sets?




The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.


The number of members in the Chess Club and the number of members in the Debate Team is the same.


The majority of the members in each club are between 15 and 17 years old.


About 50% of the members of each club are 16 or older.

Answers

Answer:

C

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation:

Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.

Answers

Answer:

Due to;

Sampling variability

Step-by-step explanation:

From the question, we have;

The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%

The number of adults in the sample of the survey = 1,501 adults

The number of adults that responded that it is more enjoyable to be married than single = 1,126

According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion

please answer 1-8 godbless​

Answers

Answer:

1. A

2. D

3. B

4. B

5-6. B

7. D

8. D

Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min

Answers

Answer: 30 mins.

Step-by-step explanation:

The mode is the value that appears the most times.

In such a situation, first order the numbers in an ascending order:

15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45

As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.

need help ASAP !!!


[tex] \sqrt{2563 \times 2563} [/tex]

Answers

Answer:

√{2563×2563}=√2563²=±2563

Solve the system of equations by substitution.
y=3x-10, 2x+3y=14

Its 5-3 MathXL btw​

Answers

2x+3(3x-10)=14

2x+9x-30=14

11x=44

x=4


y=3(4)-10

y=2

plssssssssssssssssssssssssssss

Answers

Answer:

D) 2275

Step-by-step explanation:

The answer is D)2275

CAN SOMEONE PLEASE HELP ME WITH THIS??

Answers

Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways

Answers

Answer:

5/2

5 : 2

5 to 2

WORTH 24 POINTS PLS HELP

On the blueprints for a new house, a wall measures 3.5 inches. If the map scale is 1.25 inches to 2 feet, how long will the actual wall be?

Answers

Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...

Step-by-step explanation:

I am working of Circumference of circles rn and How do u find the Circumference of a circle if there is no circumference?

Answers

Hi, I’d need to see the specific question.
circumference=pie x diameter

Step-by-step explanation:

you need either:

the diameter- the distance from one side to the other, or

the Radius- the distance from the center to the edge

the diameter is always double the radius, and accordingly the radius is always half the diameter.

so, the circumference ca be figured out by multiplying the diameter times pi- which, for most calculations is 3.14

if you only have the radius, multiply that by 2 to get the diameter, then by 3.14.

hope that helps!

Find the greatest common factor of 9n² and 6m⁴?​

Answers

the GMF of 9n^2 and 6m^4 is 3

let's one two and three have the following relationships <1and <2 are adjacent right angles <1 and <3 are vertical angles what is the measurement of <1 plus the measure of <3 minus the measure of two

Answers

Answer:

180 Vertical angles are opposite angles that share only a vertex.  Since ∠3 is adjacent to both ∠1 and ∠2, this means that ∠3 shares a side and vertex with both of these angles.

This means that ∠3 and ∠1 form a straight line; this makes them a linear pair, which makes their sum 180°.

Determine the follwoing quadratic equation:
0 = -3x2 + 17x – 10

What is the value of "B"?
A) -10
B)10
C)-17
D)17

Answers

Answer:

sorry but the epuation is in,but I will try

Step-by-step explanation:

0 = -3×2+17x-10

0= -6+17x-10

0+6+10=17x

16=17x

x=17/16

The answer to 0=-3x2+17x-10 is
C)-17

How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3

Answers

C.2 because there are two functional lines?

Answer:

0

Step-by-step explanation: i did the lesson

Hallllp!!!! please!!!!!!! I will give brainliest!!!!

Answers

A. Product of a constant factor 12 and two-term factor x+3

a charm on a lucy's bracelet had the dimensions shown what is the area of the charm​

Answers

Answer:

13

Step-by-step explanation:

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