3. Complete the proof below.


Help please!!!

3. Complete The Proof Below.Help Please!!!

Answers

Answer 1

Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements    [tex]{}[/tex]                                               Reason

1. [tex]\overline {HI}[/tex] ║ [tex]\overline {KL}[/tex], J is the midpoint of [tex]\overline {HL}[/tex] [tex]{}[/tex]         1. Given

2. ∠IHJ ≅ ∠JLK[tex]{}[/tex]                                            2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL   [tex]{}[/tex]                                         3. Vertically opposite angles

4.  [tex]\overline {HJ}[/tex] ≅ [tex]\overline {JL}[/tex]   [tex]{}[/tex]                                              4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ  [tex]{}[/tex]                                         5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines [tex]\overline {HI}[/tex] and [tex]\overline {KL}[/tex], by the transversal [tex]\overline {HL}[/tex] are equal

Vertically opposite angles formed by the crossing of two straight lines [tex]\overline {IK}[/tex] and [tex]\overline {HL}[/tex] are always equal

A midpoint divides a line into two equal halves

Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK[tex]{}[/tex] in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent [tex]\overline {HJ}[/tex] ≅ [tex]\overline {JL}[/tex], then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.


Related Questions

Mary wants to find this product. 58 x 20 How can Mary find the product? A. 0 +16 + 100 B. 0 + 160 + 1000 . C. 58 + 16 + 100 D. 58 + 16 + 1000​

Answers

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

How many minutes are in 9 1/4 hours

Answers

Answer: 555 minutes

Step-by-step explanation: 60 minutes in an hour, so 9*60 is 540. 1/4 of an hour is 15 minutes (15*4=60) so 540+15=555 minutes

Answer:

Step-by-step explanation:

9.25 * 60 (because there is 60 minutes in one hour)

=555 minutes

Which describes the intersection of the ceiling and a wall of a classroom?
A. Line
B. Point
C. Two Points
D. Two Lines
Please help! Don’t send me a link just the letter!

Answers

It would be a point

The largest group in the plant kingdom is :

A.) fungi
B.) nonvascular plants
C.) protist
D.) vascular plants

Answers

Answer:B

Step-by-step explanation:

PLS ANSWER THIS IM SO CONFUSED!!!!

Answers

If I’m correct it should be -4

How much will it cost to carpet a rectangular room measuring 13.4 m by 24 m if carpeting costs​ $24.99 per square​ meter?

Answers

Answer:

$8036.784

Step-by-step explanation:

It is easy

The area of carpet is 13.4×24=321.6sq meter

Now, for 1 sq. meter the cost is $24.99

So for 321.6sq.meters, 321.6×24.99

=$8036.784

It will cost amount of $8036.784 to carpet a rectangular room.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To carpet a rectangular room that measures 13.4 meters by 24 meters, it would area:

13.4 x 24 = 321.6 square meters

Since one square meter, the cost is $24.99

So for 321.6 square meters, 321.6×24.99

= $8036.784

Thus, it will cost amount of $8036.784 to carpet a rectangular room.

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Someone help and PLZ make sure it’s RIGHT

Answers

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Find g(x), where g(x) is the translation 3 units up of f(x)=x^2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.

Answers

The answer should be in the form of a(x-h)2 + k.

explanation:

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

g(x) = f(x-h) where h = -3.

So this is g(x) = f(x - (-3)) = f(x+3)

g(x) = (x+3)2

Hope it helps!

The value of function g (x) will be;

⇒ g (x) = (x- 0)² + 3

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function g(x) is the translation 3 units up of f(x) = x².

Now,

Since, The function is,

⇒ f (x) = x²

And, The function g(x) is the translation 3 units up of f(x) = x².

So, The function g (x) is defined as;

⇒ g (x) = x² + 3

⇒ g (x) = (x- 0)² + 3

Thus, The value of function g (x) will be;

⇒ g (x) = (x- 0)² + 3

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Which choice is equivalent to the product below for acceptable values of X?
√6x • √x+3

Answers

Step-by-step explanation:

its A

6x^2+18x

I hope this helps have a great day

ANSWER PLEASE! 25 POINTS!! Dad says to pick a number from 1 to 100, and the
closest guess to his number can pick the ride.
One son picks 50, and the other son picks 51. If
the daughter picks 52, what is the probability
that she is closest?

Answers

1/3 because there are 3 people and only one correct answer

The two triangles are congruent. Find the unknown variables. PICTUCE PROVIDED WILL GIVE BRAINLISET

Answers

Since they are congruent, they will have the same measurements. So:
x= 27
y= 110
z= 18

What is the same about these two experiments?

Selecting a letter at random from the word “ALABAMA”

Selecting a letter at random from the word “LAMB”

Answers

The two words have the same letters, but different probabilities of choosing specific letters.

please help quickly!!!!!

Answers

i believe the answer is C, i’m not 100% sure though

Answer:

y + 8 = -2(x - 4)     which matches Answer D

Step-by-step explanation:

The point-slope equation is y - k = m(x - h).  Assuming that the slope is -2 (all of the answer choices involve m = -2), and knowing that the line passes through (4, -8), we have:

y + 8 = -2(x - 4)     which matches Answer D

Constant of proportionality from graphs
The following graph shows a proportional relationship.
What is the constant of proportionality between y and X
in the graph?

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{y_{2} - y_{1}}{x_{2}- x_{1} } = \frac{2-0}{3-0} = \frac{2}{3}[/tex]

Answer:2/3

Step-by-step explanation:

khan

HELP ME GET THIS QUESTION CORRECT EXRA POINTS

Answers

I’m pretty sure it’s C hope this helps :)

find the domain and the range

Answers

Answer:

D: all real numbers,  R: y ≤ -4

Step-by-step explanation:

R: y ≤ -4

Because the line doesn't go beyond -4.  

please help me with this

Answers

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

[tex]\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}[/tex]

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

[tex]\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 } [/tex]

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

[tex]\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 } [/tex]

Thefore the required answer is ,

[tex]\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}[/tex]

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y = x² - 3 → (2)

Substitute y = x² - 3 into (1)

x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )

Help plz i have 20 mins left

Answers

Answer:

Base = 81 Exponent = 3 raised to the power of 4 Repeated multiple = 3 x 3 x 3 x 3

The value = 81

Step-by-step explanation:

My bad if im wrong on any of em

Answer:

1.    3

2.   4

3.    3x27=81

4.    81

Step-by-step explanation:

A document you fill out when applying for a job. It asks for information about your work history, education and personal references

O resume
OW-4
O application
O 1-9 form

Answers

resume
Albdkahskahskahskab

select all the expressions that equal

Answers

B only!

All of them are different!
A and B only, the rest does not equal to the above value.

Please help me in these 2 questions ASAP! Thanks a lot!

Answers

Answer:

see explanation

Step-by-step explanation:

12

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then

[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]

13

Using the explicit formula for a geometric sequence

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then

a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576

can someone please help me​

Answers

Answer:

It would be 1 since x is directly = to y

Step-by-step explanation:

Which set of angle measures could form a triangle?
A. 2º, 27°, and 33°
B. 22°, 90°, and 145º
C. 36°, 42°, 102°
D. 55°, 122°, 159°

Answers

Answer: C

Triangle=36+42+102=180

how do you write length is twice the width as an expression. ​

Answers

Answer:

width=x

length =2x.....

Answer:

l = 2w

Step-by-step explanation:

note:

l = lenght

w = width

so lenght  is 2 times width is -

l = 2w

Can someone help me real quick? I’ll give brainliest

Answers

Answer:

1. 400

2. -100 or no money

3. it had no money/ no funds  

Step-by-step explanation:

Answer: what the first person said

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Answers

Answer:

I think its 7330

Who is the volume of a sphere that has the radius of 3 inches

Answers

Answer:

113.1

Step-by-step explanation:

i just did the math

Answer:

113.1 is the answer

I just multiplied

The volume of a cube whose edge is 6 cm long, in cubic centimeters, is ​

Answers

The volume of a cube whose edge is 6 cm long is 216

Joanna purchased four boxes of cookies for a party. Each box cost $3.28, including tax. PLEASE HELP!!! 100 POINTS!!! Which expression represents how to calculate the total cost of the cookies Joanna purchased?

4 ÷ $3.28
4 – $3.28
4($3.28)
4 + $3.28

Answers

Answer:

4 / ($3.28)   is the correct answer

Step-by-step explanation:

As cost of  one box is  $3.28

the cost of four boxes will be  4 divided by the cost of one box....so that why the  4/($3.28) is correct option

find the vertex, the equation and axis of symmetry, and the y-intercept of the graph of y=x^2+4x+6

Answers

Answer:

y-int.=6; vertex equation: y= (x - 2)² + 10; vertex: (2, 10); axis of symmetry: x = 2

Step-by-step explanation:

The c value can be used as the y-int.: y=6

vertex form: a(x-h)²+ k

vertex form of this equation:

use completing the square method

y=x²+4x+6

take b, it, divide it in half, then square it (b/2)². b/2 is your h value. Add (b/2)² to c to get your k value

y= x²+4x + 2² + 6

y= (x - 2)² + 4 + 6

vertex equation:

y= (x - 2)² + 10

vertex: (2, 10)

axis of symmetry:

use the h value: x = 2

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