A point K is on the perpendicular bisector of a segment with endpoints at H and J. What must be true about point K? It is equidistant from H and J It falls on the h j It is at the midpoint of h j Not enough information is given

Answers

Answer 1

Answer:

[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].

Step-by-step explanation:

Given that the point [tex]K[/tex] which is on the perpendicular bisector of the line segment having endpoints at [tex]H[/tex] and [tex]J[/tex].

The given situation can be represented as the diagram as attached in the answer area.

Referring to the [tex]\triangle HOK, \triangle JOK[/tex]:

[tex]\angle HOK = \angle JOK=90^\circ[/tex] (As it is the perpendicular bisector)

[tex]OH = OJ[/tex] (As it is the perpendicular bisector)

Also, the side [tex]OK[/tex] is the common side.

Therefore by [tex]S-A-S[/tex] congruence, [tex]\triangle HKO\cong \triangle JKO[/tex]

As per the properties of congruent triangles:

Side [tex]HK[/tex] = Side [tex]JK[/tex]

[tex]HK[/tex] and [tex]JK[/tex] are nothing but the distance of the point [tex]K[/tex] from the end points [tex]H[/tex] and [tex]J[/tex] which are proved to be equal to each other.

Therefore, we can conclude that:

[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].

A Point K Is On The Perpendicular Bisector Of A Segment With Endpoints At H And J. What Must Be True

Related Questions

7th grade math help me please :))

Answers

Answer:

a) 23x

b) 8n

c) -6y

d) -17w

Explanation:

When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.

a) 9x + 14x = (9+14)x = (23)x = 23x

b) -2n - 10n = (-2+10)n = (8)n = 8n

c) 8y - 14y = (8-14)y = (-6)y = -6y

d) -6w - 11w = (-6-11)w = (-17)w = -17w

Answer:

a: 23x

b: 8n

c: -6y

d: -17w

Step-by-step explanation:

you just add/subtract the numbers then add the variable at the end

17x - y < 13
I’m slope-intercept form

Answers

Answer:

y > 17x - 13

Step-by-step explanation:

We want to write the inequality in slope-intercept form

The general slope intercept form is;

y = mx + b

where m is the slope and b is the y-intercept

So what we have to do to the inequality is to make y the subject

Thus, we have that;

17x -13 < y

Flipping this, we have

y > 17x-13

given d is the midpoint of ab, e is the midpoint of bc, and ac = 24 units. which of the following statements must be true?


A: 0
B: DE<12

C: DE=12

D: 12

Answers

Answer:

C

Step-by-step explanation:

I am pretty sure but get another answer just to be sure.


[tex]4 \cos(60 + \alpha ) \sin(30 + \alpha ) \cos( \alpha ) = \cos(30) [/tex]

Answers

Answer:

i am very bad at o math i am only at 8 sorry

Step-by-step explanation:

if you could give me a brainliest.

*
Evaluate b3 + 6 if b = 2.

Answers

Answer:

b3 +6 (plug in the given value for b and solve)

(2)3 +6 (multiply)

6 + 6 (add)

12 (your answer)

Step-by-step explanation:

I hope this helped :)

5(2x - 4) = 4x – 2

How would I solve this?​

Answers

x=3

Step-by-step explanation:

find m< AFE and include working out.

Answers

Answer:

∠ AFE = 80°

Step-by-step explanation:

Since BD is a straight line , then

∠ AFB + ∠ AFE + ∠ EFD = 180°, that is

50° + ∠ AFE + 50° = 180°

100° + ∠ AFE = 180° ( subtract 100° from both sides )

∠ AFE = 80°

PLEASE HELP IN THIS QUESTION!

Answers

- these are proofs.

statements:

1. LA = SA

2. TA = TA

3. angle LAT = angle SAT

4. triangle LAT = triangle SAT

reasons:

1. given

2. reflexive prop.

3. def. of angle bisector

4. SAS

can somebody explain to me how did I get this equation? please I need it​

Answers

Answer:

Step-by-step explanation:

Its hard to explain but its easy, power "2" on 100 is 10000

What is the rate of change for a linear function that passes through the points (8, 10) and (6, 14)

Answers

Answer:

-2

Step-by-step explanation:

slope = (14-10)/(6-8) = -2

please give brainliest if this helped :)

Answer:

- 2

Step-by-step explanation:

Rate of change

[tex] =\frac{14 - 10}{6 -8 } = \frac{4}{ - 2} = - 2 \\ [/tex]

5. Josy wrote the following inequality,
x <-3
Which of the following numbers makes Joey's inequality true?
A 3
B. 0
C-1
D. -5

Answers

Answer: D

Explanation: -5 is less than -3

The answer the answer is D hope this helps !

How to do this I’m struggling very badly

Answers

it’s l m k because the biggest angle is the one across from the loge at side same for smallest and ect

Can you please tell me if I’m correct thank you

Answers

Yes you are correct because the relationship in the table is y = x - 1

Yes, you are correct :)

SOMEONE HELP ME WITH THESE TWO QUESTIONS! IM ALMOST DONE!

Answers

Answer:

m∠1=131

m∠2=49

Step-by-step explanation:

Remember that a line is 180 degrees. To find the measure of angle 2 you will take 180-131= 49.

The measure of angle 1 matches to 131 degrees since it is an alternate interior angle.

Lets get to know each other

Answers

Answer:Uh  I like dog .For question 35.

Step-by-step explanation:

can somebody help me ?

Answers

Answer:

$36.25

Step-by-step explanation:

21.75/3

7.25*5

36.25

Answer:

36.25

Step-by-step explanation:

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answers

Answer: 936 cm²

Step-by-step explanation:

A = (18 × 24 × 0.5) × 2 + (18 + 30 +24) × 7 = 936 (cm²)

Answer:

The answer is 936

Step-by-step explanation:

this is full marks in mathswatch

Write the rule for the linear function. Remember a function rule is written using f(f)

Answers

Answer:

y= -1/2x +0 because it's going down by 1/2 if you do rise over run, and the y intercept is 0

Solve the inequality. Graph the solution. 3(-b - 5) < -3

Answers

Answer:

The answer is (B)

Step-by-step explanation:

Hope it works

Archie's needs to Factor the polynomial at the Right x2+8x-9

A Both factors will use subtraction

B The second terms in the factor will have a sum of 8

C The second terms in the factors will have a product of -9

Answers

Answer:

It's A

Step-by-step explanation:

1/3 times -6 + 5= in fraction form and show work

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{1}{3} \times (-6) + 5 => \frac{-6}{3} + 5 = >-2 + 5 = 3[/tex]

Find the equation of the linear function represented by the table below in slope intercept form:
X|Y
1|-2
2|-1
3|0
4|1

Answers

Answer:

y=x-3

Step-by-step explanation:

Select the correct answer.
What is the completely factored form of this polynomial?
2x^4 + 11x^2+ 5
o (2x^2 + 1)(x^2+ 5)
o (2x^2 + 5)(x^2 + 1)
0 (2x + 5)(x + 1)
O (2x + 1)(x + 5)

Answers

Answer:(2x^2+1) (x^2+5)

Step-by-step explanation:

Just answered it hsbsskksks

37 is what percent of 148? I also need 148 is what percent of 37? Thank you!

Answers

Answer:

25%

400%

Step-by-step explanation:

37=148x

x=0.25

25%

148=37x

x=4

Answer:

first: 37×100=3700

3700/148=25 percent

second: 148×100=14800

14800/37 =400 percent.

hope I helped u. pls mark me❤️

find the value of x.

Answers

Answer:

X= 20 degrees

Step-by-step explanation:

Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:

(3x)3= 180

9x= 180

X =20

Find the slope of the line that passes through (-7, 1.3) and (-7, 14.2)

Answers

Answer:

The slope of the line that passes through (-7, 1.3) and (-7, 14.2) is undefined.

Step-by-step explanation:

Given the points

(-7, 1.3)(-7, 14.2)

Finding the slope between  (-7, 1.3) and (-7, 14.2):

It is clear that the value of x-coordinate remains the same, no matter what is the value of y is.

In other words, the given line is vertical.

i.e. [x₂ - x₁] = -7 - (-7) = -7+7 = 0

We know that the slope of a vertical line is undefined.

i.e.

Using the slope formula

Slope =  [14.2 - 1.3] / [0]

Hence, the slope of the line that passes through (-7, 1.3) and (-7, 14.2) is undefined.

A sapling that started out 31 inches tall grew 3 inches per year. How tall was the sapling when it was 6 years old?


13 inches
40 inches
49 inches
18 inches

Answers

C - 49 inches long!!

-6+x/4=-5 please help

Answers

Answer:

x=4

Step-by-step explanation:

plug it in to see if it works

Answer:

X=4

Step-by-step explanation:

Solve for x:

x/4 = -5+6

x/4 = 1

multiply by 4 on both sides.

x=4

what is twenty times 10

Answers

200 hopes this helps

Answer:

200 is the correct response to this question

Step-by-step explanation:

lol

What is the answer to this?

Answers

The ratio of apple flavored to strawberry flavored is 1:18
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